
Time bar (total: 4.9s)
| 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)
| 930.0ms | 8 256× | 0 | valid |
| 140.0ms | 2 026× | 0 | invalid |
ival-mult: 367.0ms (48.3% of total)ival-sqrt: 164.0ms (21.6% of total)ival-div: 117.0ms (15.4% of total)ival-add: 90.0ms (11.8% of total)exact: 10.0ms (1.3% of total)ival-true: 8.0ms (1.1% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 33.0ms | 512× | 0 | valid |
Compiled 104 to 44 computations (57.7% saved)
ival-mult: 6.0ms (35.4% of total)ival-sqrt: 4.0ms (23.6% of total)ival-div: 3.0ms (17.7% of total)ival-add: 2.0ms (11.8% of total)exact: 1.0ms (5.9% 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 | 76 |
| 1 | 126 | 74 |
| 2 | 411 | 74 |
| 3 | 979 | 74 |
| 4 | 2019 | 74 |
| 5 | 2420 | 74 |
| 6 | 2554 | 74 |
| 7 | 2587 | 74 |
| 8 | 2587 | 74 |
| 9 | 2587 | 74 |
| 0 | 10 | 8 |
| 0 | 16 | 8 |
| 1 | 31 | 8 |
| 2 | 64 | 8 |
| 3 | 120 | 8 |
| 4 | 276 | 8 |
| 5 | 451 | 8 |
| 6 | 564 | 8 |
| 7 | 603 | 8 |
| 8 | 605 | 8 |
| 0 | 605 | 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 |
|---|---|---|
| ▶ | 99.9% | (*.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 | 128 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 31 | 26 |
| 2 | 64 | 26 |
| 3 | 120 | 26 |
| 4 | 276 | 26 |
| 5 | 451 | 26 |
| 6 | 564 | 26 |
| 7 | 603 | 26 |
| 8 | 605 | 26 |
| 0 | 605 | 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 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.19140625 | (*.f64 y (sqrt.f64 z)) |
| 16.0ms | 256× | 0 | valid |
Compiled 62 to 22 computations (64.5% saved)
ival-mult: 3.0ms (35.8% of total)ival-div: 2.0ms (23.9% of total)ival-sqrt: 2.0ms (23.9% of total)ival-add: 1.0ms (11.9% 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 | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 2.0ms | y | @ | 0 | ((/ 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 | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 221 |
| 0 | 273 | 211 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) x)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) 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) (+.f64 (/.f64 x y) (sqrt.f64 z))) y) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) 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) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x z))) z)) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 46 | 21 |
| 2 | 278 | 21 |
| 3 | 2546 | 21 |
| 0 | 9734 | 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 (sqrt.f64 z) y x) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (-.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 (fma.f64 z (pow.f64 (*.f64 y (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (-.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 (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))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (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 (/.f64 (pow.f64 (fma.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 (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 (fma.f64 (sqrt.f64 z) y x))) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y 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 (fma.f64 z y (*.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x))) (-.f64 (*.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #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)))) (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #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)))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (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 (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 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 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)))) |
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 z) y x)) (fma.f64 (sqrt.f64 z) y x)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (fma.f64 (sqrt.f64 z) y x)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3/2 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(-.f64 (/.f64 (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 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) y)) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z y) y)) (fma.f64 (sqrt.f64 z) y x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #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 (*.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 (/.f64 (*.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 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #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 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #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 (*.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 (/.f64 (*.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 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #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 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #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 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) y)) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (pow.f64 z #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 y))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (fabs.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) y)))) |
(*.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 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #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 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) |
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 y) (sqrt.f64 z)) |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 y)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 y))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y))) |
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (fabs.f64 y)) |
(*.f64 (sqrt.f64 z) (neg.f64 y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (neg.f64 (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) |
(pow.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (sqrt.f64 z) y)) |
(sqrt.f64 (*.f64 (*.f64 z y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y)) |
(fabs.f64 (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (sqrt.f64 z) y)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 z y) y)) #s(literal 2 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 (cosh.f64 (log.f64 (*.f64 (sqrt.f64 z) y))) (sinh.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z)))) |
(*.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 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.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 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 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 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 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 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(fabs.f64 (neg.f64 (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 (log.f64 z) #s(literal 2 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))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z)))) |
Compiled 16 378 to 1 699 computations (89.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 12 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 543 | 12 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (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))) | |
| 54.0% | (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x))) | |
| ▶ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 87.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x))))) | |
| ▶ | 45.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
| 76.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x))))) | |
| 63.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y)))) | |
| ▶ | 86.9% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
| ▶ | 90.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| 83.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) | |
| 49.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) | |
| ▶ | 52.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 430 to 320 computations (25.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 z y)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 z) y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| 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 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 185 |
| 0 | 56 | 173 |
| 1 | 98 | 173 |
| 2 | 189 | 173 |
| 3 | 434 | 173 |
| 4 | 1258 | 161 |
| 5 | 3542 | 161 |
| 6 | 5189 | 161 |
| 7 | 5763 | 161 |
| 8 | 6397 | 161 |
| 9 | 6759 | 161 |
| 10 | 7148 | 161 |
| 0 | 8235 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) |
(sqrt.f64 (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(sqrt.f64 y) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (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 |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) 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) |
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x) |
(sqrt.f64 (*.f64 z y)) |
(sqrt.f64 (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(sqrt.f64 y) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 y (sqrt.f64 z) 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) |
#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 y (sqrt.f64 z) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 y (sqrt.f64 z) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0 | #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) | |
| accuracy | 1.4027754066781317 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| accuracy | 2.862202243427458 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sqrt.f64 y) | |
| accuracy | 0.09375 | (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) | |
| accuracy | 7.3868076977058195 | (sqrt.f64 (*.f64 z y)) | |
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.07421875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.3973619938567914 | (/.f64 (*.f64 (sqrt.f64 z) y) x) | |
| accuracy | 2.862494865238903 | (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 13.965222038730543 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.0234375 | (fma.f64 (sqrt.f64 z) y x) |
| 28.0ms | 127× | 0 | valid |
| 25.0ms | 129× | 0 | invalid |
Compiled 368 to 65 computations (82.3% saved)
ival-mult: 19.0ms (53% of total)ival-add: 7.0ms (19.5% of total)ival-div: 5.0ms (13.9% of total)ival-sqrt: 5.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(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 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) |
(sqrt.f64 (*.f64 z y)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 y) |
(*.f64 z y) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(sqrt (* y z)) |
(sqrt y) |
(* y z) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2)))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1)) |
| 4.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1)) |
| 3.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1)) |
| 3.0ms | x | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1)) |
| 2.0ms | y | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 485 |
| 0 | 468 | 465 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(sqrt (* y z)) |
(sqrt y) |
(* y z) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2)))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 (* (/ y x) (sqrt z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x) |
(* (/ y x) (sqrt z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/ (+ x (* y (sqrt z))) x) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #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 (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) x)) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 y z)) |
(sqrt y) |
(sqrt.f64 y) |
(* y z) |
(*.f64 y z) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y)) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z)) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) y)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z) (neg.f64 (/.f64 x y))) y)) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 y))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) 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) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x 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 (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) z)) z) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (neg.f64 (/.f64 x z))) z)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 z)) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 0 | 56 | 147 |
| 1 | 182 | 147 |
| 2 | 1104 | 147 |
| 0 | 9137 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
#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 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) |
(sqrt.f64 (*.f64 z y)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (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)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 y) |
(*.f64 z y) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (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 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (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 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.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 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))) |
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(fma.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z))))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
Compiled 19 845 to 2 600 computations (86.9% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 666 | 11 | 677 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 674 | 15 | 689 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| 45.5% | (*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64)) | |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 49.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)) | |
| 87.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x))))) | |
| 63.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y)))) | |
| 86.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) | |
| 83.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) | |
| ▶ | 49.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ▶ | 86.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
| ▶ | 89.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 89.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| 39.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) | |
| ✓ | 52.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 495 to 386 computations (22% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 1792 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 384 | (/.f64 y (/.f64 x (sqrt.f64 z))) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 y (/.f64 (sqrt.f64 z) x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (fma.f64 y (sqrt.f64 z) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) | |
| cost-diff | 1088 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 245 |
| 0 | 60 | 222 |
| 1 | 103 | 220 |
| 2 | 193 | 220 |
| 3 | 453 | 220 |
| 4 | 1233 | 208 |
| 5 | 2904 | 208 |
| 6 | 4457 | 208 |
| 7 | 5546 | 208 |
| 8 | 6046 | 208 |
| 9 | 6258 | 208 |
| 10 | 6404 | 208 |
| 11 | 7775 | 208 |
| 0 | 8429 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 1 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
y |
(sqrt.f64 z) |
z |
x |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
y |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y (/.f64 x (sqrt.f64 z))) |
y |
(/.f64 x (sqrt.f64 z)) |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)) |
#s(literal 1 binary64) |
(fma.f64 y (sqrt.f64 z) x) |
(fma.f64 (sqrt.f64 z) y x) |
y |
(sqrt.f64 z) |
z |
x |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) 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 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
y |
(/.f64 (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #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 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y (/.f64 x (sqrt.f64 z))) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
y |
(/.f64 x (sqrt.f64 z)) |
x |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) | |
| accuracy | 0.6444109582288206 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 2.138991026443156 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| accuracy | 5.60762546095996 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.19140625 | (/.f64 x (sqrt.f64 z)) | |
| accuracy | 2.047209990742298 | (/.f64 y (/.f64 x (sqrt.f64 z))) | |
| accuracy | 6.210517264809402 | (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.2109375 | (/.f64 (sqrt.f64 z) x) | |
| accuracy | 1.8078819170406804 | (*.f64 y (/.f64 (sqrt.f64 z) x)) | |
| accuracy | 6.210517264809402 | (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) | |
| accuracy | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.19140625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 32.47204050109125 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.08203125 | (fma.f64 y (sqrt.f64 z) x) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
| 92.0ms | 256× | 0 | valid |
Compiled 467 to 72 computations (84.6% saved)
ival-mult: 16.0ms (36.6% of total)ival-div: 14.0ms (32.1% of total)ival-add: 10.0ms (22.9% of total)ival-sqrt: 2.0ms (4.6% 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(fma.f64 y (sqrt.f64 z) x) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(/.f64 y (/.f64 x (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(/.f64 x (sqrt.f64 z)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ y x) (sqrt z)) |
(* 2 (* (/ x y) (sqrt (/ 1 z)))) |
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))) |
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) 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))))))) |
(* (/ 1 x) (sqrt z)) |
(* x (sqrt (/ 1 z))) |
(/ (+ x (* y (sqrt z))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x) |
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
2 |
(+ 2 (* -2 (* (/ y x) (sqrt z)))) |
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) |
(- (+ 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))))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x))) |
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x)) |
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y) |
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y)) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 1 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))) |
(/ 2 (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 (+ 1 (* (/ y x) (sqrt z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z) |
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z) |
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 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))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -2 (* (/ x y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1)) |
| 7.0ms | z | @ | inf | ((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1)) |
| 7.0ms | x | @ | 0 | ((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1)) |
| 3.0ms | z | @ | 0 | ((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1)) |
| 3.0ms | x | @ | -inf | ((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 467 | 1912 |
| 0 | 1713 | 1848 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ y x) (sqrt z)) |
(* 2 (* (/ x y) (sqrt (/ 1 z)))) |
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))) |
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) 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))))))) |
(* (/ 1 x) (sqrt z)) |
(* x (sqrt (/ 1 z))) |
(/ (+ x (* y (sqrt z))) x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x) |
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
2 |
(+ 2 (* -2 (* (/ y x) (sqrt z)))) |
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) |
(- (+ 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))))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x))) |
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x)) |
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y) |
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y)) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 1 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))) |
(/ 2 (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 (+ 1 (* (/ y x) (sqrt z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z) |
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z) |
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 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))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -2 (* (/ x y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x (*.f64 (*.f64 y y) z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (* (/ y x) (sqrt z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x) |
(* (/ y x) (sqrt z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(* 2 (* (/ x y) (sqrt (/ 1 z)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 (*.f64 y y) z)))) x) |
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (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)) x) |
(* 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))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x) |
(* (/ 1 x) (sqrt z)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(* x (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ x (* y (sqrt z))) x) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x) |
(/.f64 (-.f64 (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x) |
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x)))))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (* (/ y x) (sqrt z)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)) |
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) |
(-.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))) |
(- (+ 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))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z)) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (/ y x) (sqrt z))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x)) |
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 y y) z)) x)) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)) |
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (*.f64 (sqrt.f64 z) y))) x) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 y y) z))) x) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) x) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x))) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(fma.f64 (fma.f64 y (/.f64 z (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.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 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x)) |
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (/.f64 z (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) y #s(literal 2 binary64)) |
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (*.f64 x x)))) y (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) y #s(literal 2 binary64)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y) |
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y) |
(/.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 x y) z)) y) |
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 z z)) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 x y) z))) y) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 z y))) y) |
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 z y))) y) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z y)))) y) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 x z)) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 z z)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) y)) (/.f64 x z)) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y)) |
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z y))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 x x) z))) y))) y)) |
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 z z)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) y))) y)) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y)) y)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/ 1 (+ x (* y (sqrt z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) |
(/ 2 (+ 1 (* (/ y x) (sqrt z)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(* 1/2 (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z) |
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 x (*.f64 y y)))) z) |
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (/.f64 x (*.f64 y y))) z) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y y)))) 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 (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) z)) z) |
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 y y))) z) |
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 y y))) z) |
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) z))) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y y)))) z) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) z) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z)) |
(* -1 (* (/ 1 y) (sqrt (/ 1 z)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))) (neg.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x z))) z)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 z)) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 z))) |
(* -2 (* (/ x y) (sqrt (/ 1 z)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 213 |
| 0 | 60 | 202 |
| 1 | 224 | 200 |
| 2 | 1271 | 200 |
| 0 | 8440 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(fma.f64 y (sqrt.f64 z) x) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(/.f64 y (/.f64 x (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(/.f64 x (sqrt.f64 z)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x))) |
(*.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 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.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))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)))) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1/2 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))))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sqrt.f64 z) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z))) |
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 z))))) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) x))) |
(/.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)) |
(/.f64 x (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x)) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 (neg.f64 x) (sqrt.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
Compiled 23 485 to 3 572 computations (84.8% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 800 | 2 | 802 |
| Fresh | 1 | 7 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 803 | 14 | 817 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.1% | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 49.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
| 48.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))) | |
| 45.5% | (*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64)) | |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 49.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)) | |
| 63.1% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y)))) | |
| ▶ | 86.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ▶ | 83.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 49.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ✓ | 89.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ✓ | 89.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 39.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
| ✓ | 52.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 392 to 315 computations (19.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 341 |
| 0 | 77 | 336 |
| 1 | 137 | 336 |
| 2 | 270 | 336 |
| 3 | 715 | 336 |
| 4 | 2642 | 324 |
| 5 | 6483 | 324 |
| 0 | 8061 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(/.f64 x z) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 z y) y) |
(*.f64 z y) |
z |
y |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) (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)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))) |
#s(literal 1 binary64) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(/.f64 x z) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) z (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 z y) y) |
(*.f64 (*.f64 y z) y) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 y (sqrt.f64 z))) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 (*.f64 z y) y) | |
| accuracy | 0.19140625 | (*.f64 y (sqrt.f64 z)) | |
| accuracy | 2.945298050811441 | (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) | |
| accuracy | 28.96859651992051 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) | |
| accuracy | 0.08203125 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) | |
| accuracy | 0.10546875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 10.750133848629673 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) | |
| accuracy | 0.19140625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) | |
| accuracy | 32.47204050109125 | #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) | |
| accuracy | 0.19140625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 1.5273317172080871 | (/.f64 (*.f64 (sqrt.f64 z) y) x) | |
| accuracy | 6.210517264809402 | (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) | |
| accuracy | 32.30515655752001 | #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) | |
| accuracy | 2.138991026443156 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| accuracy | 6.208992188301123 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
| 77.0ms | 256× | 0 | valid |
Compiled 593 to 89 computations (85% saved)
ival-mult: 28.0ms (52.1% of total)ival-div: 13.0ms (24.2% of total)ival-add: 7.0ms (13% of total)ival-sqrt: 4.0ms (7.4% of total)ival-sub: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) 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)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) |
(*.f64 x x) |
(sqrt.f64 z) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (*.f64 z y) y) |
| 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) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(* -1/2 (* (pow y 2) z)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(* -1 (* (pow y 2) z)) |
(- (pow x 2) (* (pow y 2) z)) |
(pow x 2) |
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))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x) |
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x) |
(/ x z) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x)) |
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(* (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))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) z)) |
(* -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 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 1 (+ x (* y (sqrt z)))) |
(/ (+ x (* y (sqrt z))) z) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(sqrt z) |
(sqrt (/ 1 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))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z) |
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ 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))))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(* z (- (/ (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 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | ((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y)) |
| 9.0ms | z | @ | -inf | ((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y)) |
| 4.0ms | z | @ | 0 | ((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y)) |
| 3.0ms | z | @ | inf | ((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y)) |
| 3.0ms | y | @ | -inf | ((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 1826 |
| 0 | 1457 | 1769 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
(* 1/2 (* (/ y x) (sqrt z))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(* -1/2 (* (pow y 2) z)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(* -1 (* (pow y 2) z)) |
(- (pow x 2) (* (pow y 2) z)) |
(pow x 2) |
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))) |
1/2 |
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x) |
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x) |
(/ x z) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x)) |
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(* (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))) |
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) |
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y) |
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) z)) |
(* -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 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y)) |
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 1 (+ x (* y (sqrt z)))) |
(/ (+ x (* y (sqrt z))) z) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(sqrt z) |
(sqrt (/ 1 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))) |
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) |
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z) |
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ 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))))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(* z (- (/ (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 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
(* -1 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 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 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* (/ y x) (sqrt z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/ (+ x (* y (sqrt z))) x) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) x) |
(* 1/2 (* (/ y x) (sqrt z))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x) |
(* (/ 1 y) (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x (*.f64 (*.f64 y y) z)))) |
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (-.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z)))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))) |
(* -1 (* (pow y 2) z)) |
(*.f64 (neg.f64 (*.f64 y y)) z) |
(- (pow x 2) (* (pow y 2) z)) |
(fma.f64 (neg.f64 (*.f64 y y)) z (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* 1/2 x) |
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(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(* -1/2 (* y (sqrt z))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) 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)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)) (sqrt.f64 z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))))) z))) z))) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z)) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (neg.f64 (*.f64 y y))) z)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 291 |
| 0 | 77 | 286 |
| 1 | 277 | 281 |
| 2 | 1731 | 271 |
| 0 | 8547 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) 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)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) |
(*.f64 x x) |
(sqrt.f64 z) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (*.f64 z y) y) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(fma.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x) x) |
(+.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(+.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) y) (fma.f64 (*.f64 z y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z y) y) (fma.f64 (*.f64 z y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) (sqrt.f64 (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) (sqrt.f64 (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(fma.f64 (neg.f64 y) (*.f64 z y) (*.f64 x x)) |
(fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 z y) y) (*.f64 x x)) |
(fma.f64 (*.f64 z y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 z (neg.f64 (*.f64 y y)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(fma.f64 x x (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fma.f64 y (*.f64 (neg.f64 y) z) (*.f64 x x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z y) y) (fma.f64 (*.f64 z y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z y) y) (fma.f64 (*.f64 z y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) y)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) z) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) (sqrt.f64 (neg.f64 (*.f64 x x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x x)))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(sqrt.f64 z) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) x)) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x y)) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (sqrt.f64 z) (/.f64 x y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (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 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #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 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z))) (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) (fabs.f64 y)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)) (sqrt.f64 z)) |
(*.f64 (fabs.f64 (*.f64 z y)) (fabs.f64 y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) y) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))) |
(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (*.f64 (fabs.f64 y) (sqrt.f64 z))) |
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 z y))) |
(*.f64 (*.f64 y y) z) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (*.f64 z y) y) |
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) (fabs.f64 (*.f64 y (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 y (*.f64 (sqrt.f64 z) y))) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y))) |
(*.f64 y (*.f64 z y)) |
(pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) z) y)) |
(fabs.f64 (*.f64 (*.f64 z y) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64))) |
Compiled 19 850 to 3 220 computations (83.8% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 721 | 5 | 726 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 728 | 12 | 740 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.1% | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
| 21.9% | (/.f64 #s(approx (* (- (* x x) (* (* z y) y)) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z)))) | |
| 48.9% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 49.4% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)) | |
| 83.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)) #s(literal 1/2 binary64)) | |
| ✓ | 49.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| 45.2% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64)) | |
| ✓ | 89.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| 36.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) x)) | |
| 38.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) x)) | |
| ✓ | 52.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 840 to 343 computations (59.2% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(approx (* (- (* x x) (* (* z y) y)) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(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))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 15.0ms | x |
| 10.0ms | (sqrt.f64 z) |
| 9.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 8.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.9% | 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(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #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 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | x |
| 2.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 3 | x |
| 78.2% | 3 | y |
| 64.4% | 2 | z |
| 64.4% | 6 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 64.4% | 6 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 82.6% | 3 | (*.f64 y (sqrt.f64 z)) |
| 64.4% | 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:
| 2.0ms | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 52.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 52.8% | 1 | z |
| 52.8% | 1 | (sqrt.f64 z) |
| 52.8% | 1 | y |
| 52.8% | 1 | x |
| 52.8% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.649609916384673e+70 | 1.1769675484827799e+73 |
| 0.0ms | -2.1201841134802577e-20 | -1.7362809675618185e-35 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 75 |
| 1 | 33 | 75 |
| 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 -6646139978924579/332306998946228968225951765070086144 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 100000000000000004188152556421145795899143386664033828314342771180699648 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)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -6646139978924579/332306998946228968225951765070086144 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 100000000000000004188152556421145795899143386664033828314342771180699648 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 (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))) |
#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 | 221 |
| 0 | 273 | 211 |
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 46 | 21 |
| 2 | 278 | 21 |
| 3 | 2546 | 21 |
| 0 | 9734 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 105 to 52 computations (50.5% saved)
Compiled 186 to 70 computations (62.4% saved)
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