Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A
Time bar (total: 6.9s)
| 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 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 755.0ms | 8 256× | 0 | valid |
ival-mult: 249.0ms (53.2% of total)ival-div: 95.0ms (20.3% of total)ival-sub: 74.0ms (15.8% of total)ival-add: 37.0ms (7.9% of total)ival-true: 5.0ms (1.1% of total)exact: 4.0ms (0.9% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 1 | (-1.2022738640215826e-157 6.863267988468225e-262 -8.969315506572081e-206) | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 28 | 0 | - | 0 | - | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | o/n | 59 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 153 | |
| ↳ | (*.f64 y y) | overflow | 60 | |
| ↳ | (*.f64 x x) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 118 | |
| ↳ | (*.f64 z z) | overflow | 63 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 28 | 0 |
| ↳ | (*.f64 y y) | overflow | 60 | |
| ↳ | (*.f64 x x) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 118 | |
| ↳ | (*.f64 z z) | overflow | 63 | |
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | u/n | 1 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 1 | |
| ↳ | (*.f64 y y) | underflow | 52 | |
| ↳ | (*.f64 x x) | underflow | 60 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 10 | |
| ↳ | (*.f64 z z) | underflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 1 |
| - | 0 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 1 |
| - | 0 | 0 | 180 |
| number | freq |
|---|---|
| 0 | 181 |
| 1 | 62 |
| 2 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 166 to 48 computations (71.1% saved)
ival-mult: 13.0ms (56.7% of total)ival-div: 5.0ms (21.8% of total)ival-sub: 2.0ms (8.7% of total)ival-add: 2.0ms (8.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 138 |
| 1 | 150 | 135 |
| 2 | 890 | 135 |
| 3 | 3698 | 135 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 45 | 15 |
| 2 | 192 | 15 |
| 3 | 885 | 15 |
| 4 | 2805 | 13 |
| 0 | 8294 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 2 binary64)) |
(abs z)
(abs x)
(negabs y)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.8% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 18 | 49 |
| 1 | 45 | 49 |
| 2 | 192 | 49 |
| 3 | 885 | 49 |
| 4 | 2805 | 47 |
| 0 | 8294 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 2 binary64)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 6.492150344943705 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| accuracy | 14.010866339411045 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 24.0ms | 256× | 0 | valid |
Compiled 100 to 24 computations (76% saved)
ival-mult: 6.0ms (61.2% of total)ival-div: 2.0ms (20.4% of total)ival-sub: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(*.f64 x x) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(- (pow x 2) (pow z 2)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | z | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 312 |
| 1 | 198 | 306 |
| 2 | 631 | 294 |
| 3 | 3428 | 292 |
| 0 | 8251 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(- (pow x 2) (pow z 2)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(- (pow y 2) (pow z 2)) |
(*.f64 (-.f64 y z) (+.f64 z y)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z y) x) (-.f64 (/.f64 y x) (/.f64 z x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(- (pow x 2) (pow z 2)) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 y y)) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (fma.f64 (neg.f64 x) x (*.f64 z z))) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 x x)) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 0 | 18 | 36 |
| 1 | 76 | 36 |
| 2 | 745 | 36 |
| 0 | 8750 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))) (*.f64 (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)) (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)))) (-.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) y)) (/.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) y)))) (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) y) (/.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)) (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y))) (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (/.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) y)))))) |
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(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)))) |
Compiled 10 647 to 1 339 computations (87.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 326 | 10 | 336 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 327 | 10 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| 94.0% | (fma.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))) | |
| 63.1% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) | |
| ▶ | 32.4% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
| 65.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| ▶ | 99.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
| ▶ | 32.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 61.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| ▶ | 67.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
| ▶ | 33.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 32.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 460 to 312 computations (32.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 240 |
| 0 | 47 | 240 |
| 1 | 93 | 240 |
| 2 | 287 | 240 |
| 3 | 1165 | 240 |
| 4 | 3835 | 240 |
| 0 | 8312 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.1015625 | (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) | |
| accuracy | 0.20186234355227695 | (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 20.7331048673298 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 14.010866339411045 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 41.30391549264654 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) | |
| accuracy | 0.0 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 6.136481453153359 | (/.f64 (*.f64 x x) y) | |
| accuracy | 42.32602194937546 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 42.44959557968683 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.05859375 | (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) | |
| accuracy | 0.20186234355227695 | (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
| 73.0ms | 256× | 0 | valid |
Compiled 437 to 59 computations (86.5% saved)
ival-mult: 46.0ms (79.9% of total)ival-div: 4.0ms (6.9% of total)ival-add: 3.0ms (5.2% of total)ival-sub: 2.0ms (3.5% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(+.f64 z x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
z |
(+ x z) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(pow x 2) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ (pow z 2) y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* 1/2 y) |
(- (pow x 2) (pow z 2)) |
(/ (- x z) y) |
(* 2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ y (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* -1 z) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* z (+ 1 (/ x z))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (/ (- x z) y) (* y 2)) |
| 6.0ms | y | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (/ (- x z) y) (* y 2)) |
| 4.0ms | x | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (/ (- x z) y) (* y 2)) |
| 3.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (/ (- x z) y) (* y 2)) |
| 3.0ms | x | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) (/ (- x z) y)) 1/2) (* (+ z x) (/ (- x z) y)) (/ (- x z) y) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 1416 |
| 1 | 950 | 1175 |
| 2 | 4056 | 1134 |
| 0 | 8776 | 1081 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
z |
(+ x z) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(pow x 2) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ (pow z 2) y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* 1/2 y) |
(- (pow x 2) (pow z 2)) |
(/ (- x z) y) |
(* 2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ y (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* -1 z) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* z (+ 1 (/ x z))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64)) z y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(+ y (* -1 (/ (pow z 2) y))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(fma.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64)) z y) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x (-.f64 y (/.f64 (*.f64 z z) y))) |
z |
(+ x z) |
(+.f64 z x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(pow x 2) |
(*.f64 x x) |
(- (pow y 2) (pow z 2)) |
(*.f64 (+.f64 y z) (-.f64 y z)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 0 binary64) z)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64)) z) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(fma.f64 (neg.f64 z) (/.f64 z y) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 0 binary64) x) x (/.f64 x y))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 z (/.f64 z x))) (*.f64 y x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 z y)) x)) x (/.f64 x y))) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(*.f64 (-.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z y) x) #s(literal 0 binary64)) x) x (/.f64 x y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(- (pow x 2) (pow z 2)) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) y) y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) y) #s(literal 1 binary64))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) x) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(fma.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 0 binary64) z)) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(*.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) z) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(*.f64 (-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 x y) z) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 210 |
| 0 | 47 | 210 |
| 1 | 159 | 210 |
| 2 | 1310 | 210 |
| 0 | 9757 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(+.f64 z x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)))) (+.f64 y (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))))) |
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(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)) (*.f64 y (*.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) y)))))) |
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(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)) (/.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (+.f64 z x) y))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)) |
(/.f64 (-.f64 x z) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 x z) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 x z) (neg.f64 y)) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (-.f64 x z) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 z z) (*.f64 (+.f64 z x) y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 z x)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 z x)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (neg.f64 y)) (/.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (neg.f64 y)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (neg.f64 y))) |
(-.f64 (/.f64 x (neg.f64 y)) (/.f64 z (neg.f64 y))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (+.f64 z x) y))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) y) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) y) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) |
(+.f64 y y) |
Compiled 18 505 to 1 879 computations (89.8% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 10 | 450 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 445 | 15 | 460 |
| Status | Accuracy | Program |
|---|---|---|
| 63.1% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) | |
| 32.4% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) | |
| ▶ | 65.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ▶ | 66.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
| ✓ | 32.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 61.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| ▶ | 99.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
| ▶ | 67.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
| 22.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z)))) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) | |
| ▶ | 33.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 62.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x))) #s(literal 1/2 binary64))) | |
| 62.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1/2 binary64))) | |
| ✓ | 33.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 34.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) | |
| 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
Compiled 842 to 552 computations (34.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) | |
| cost-diff | 0 | (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 326 |
| 0 | 60 | 314 |
| 1 | 127 | 314 |
| 2 | 414 | 314 |
| 3 | 1585 | 314 |
| 4 | 4787 | 314 |
| 0 | 8249 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
(*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) |
(+.f64 z x) |
(sqrt.f64 z) |
z |
x |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) | |
| accuracy | 0.20186234355227695 | (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 0.23046875 | (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) | |
| accuracy | 20.7331048673298 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) | |
| accuracy | 0.20186234355227695 | (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) | |
| accuracy | 30.406039161277448 | #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 x y) x y) | |
| accuracy | 22.10090317179234 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) | |
| accuracy | 0.09375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 42.32602194937546 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) | |
| accuracy | 0.20186234355227695 | (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) |
| 120.0ms | 256× | 0 | valid |
Compiled 582 to 74 computations (87.3% saved)
ival-mult: 34.0ms (52.4% of total)ival-sqrt: 14.0ms (21.6% of total)ival-add: 7.0ms (10.8% of total)ival-div: 6.0ms (9.2% of total)ival-sub: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) |
(+.f64 z x) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
| Outputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ (pow z 2) y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
z |
(+ x z) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (- x z) y) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(* z (+ 1 (/ x z))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ x z)) (pow (sqrt -1) 2)))) |
(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(/ (* (pow z 2) (pow (sqrt -1) 2)) y) |
(* (pow z 2) (+ (* -1 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (/ (pow (sqrt -1) 2) y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (* y z))) (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y))) z)) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) (/ (- x z) y) (/ (- x z) y)) |
| 2.0ms | x | @ | inf | ((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) (/ (- x z) y) (/ (- x z) y)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) (/ (- x z) y) (/ (- x z) y)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) (/ (- x z) y) (/ (- x z) y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ (- x z) y) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (/ (- x z) y) (+ z x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (+ (* (+ z x) (/ (- x z) y)) y) (+ z x) (+ (* (sqrt z) (sqrt z)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) (/ (- x z) y) (/ (- x z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 1500 |
| 1 | 1092 | 1227 |
| 2 | 4747 | 1189 |
| 0 | 9237 | 1127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ (pow z 2) y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
z |
(+ x z) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (- x z) y) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(* z (+ 1 (/ x z))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ x z)) (pow (sqrt -1) 2)))) |
(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(/ (* (pow z 2) (pow (sqrt -1) 2)) y) |
(* (pow z 2) (+ (* -1 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (/ (pow (sqrt -1) 2) y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (* y z))) (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y))) z)) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| Outputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z y) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x (-.f64 y (/.f64 (*.f64 z z) y))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 y z)) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z) |
(+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))) |
(fma.f64 (neg.f64 z) (/.f64 z y) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
y |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
z |
(+ x z) |
(+.f64 z x) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 0 binary64) z)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 0 binary64) x) (/.f64 x y))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 z (/.f64 z x))) (*.f64 y x)) (/.f64 (+.f64 (/.f64 y x) (/.f64 z y)) x)) (/.f64 x y))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ z (* x y)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(*.f64 x (fma.f64 x (/.f64 y (*.f64 x x)) (/.f64 x y))) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) (/.f64 x y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x)) x) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (/ (pow z 2) (* x y))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 x (/.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z y) x) #s(literal 0 binary64)) x) (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/.f64 (fma.f64 (+.f64 z x) (-.f64 x z) (*.f64 y y)) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 z x) (-.f64 x z) (*.f64 y y)) y)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 z x) (-.f64 x z) (*.f64 y y)) y)) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(fma.f64 (*.f64 y (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) y) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z (fma.f64 (/.f64 x y) x y)) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)) |
(*.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x) |
(+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z (*.f64 (/.f64 x y) x)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) x) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(fma.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 0 binary64) z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal 0 binary64)) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (/ (pow x 2) (* y (pow z 2))))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 x y) #s(literal 0 binary64)) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 x y) #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal 0 binary64)) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* y z))) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 x y) #s(literal 0 binary64)) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (* z (pow (sqrt -1) 2))) |
z |
(* -1 (* z (+ (* -1 (/ x z)) (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 x z) z z) |
(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 x y) #s(literal 0 binary64)) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(/ (* (pow z 2) (pow (sqrt -1) 2)) y) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (+ (* -1 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) z) z) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (* y z))) (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y))) z)) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x z) (/.f64 x y) #s(literal 0 binary64)) z) (/.f64 #s(literal -1 binary64) y)) z) z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal 1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 283 |
| 0 | 60 | 271 |
| 1 | 215 | 271 |
| 2 | 1819 | 243 |
| 0 | 9247 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) |
(+.f64 z x) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) y) #s(literal 3 binary64))) (fma.f64 (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)) (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)) (-.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) y) #s(literal 2 binary64)) (*.f64 (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)) (/.f64 (*.f64 x (-.f64 x z)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 x z)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 x z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (fma.f64 (/.f64 (-.f64 x z) y) x y)) (*.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (fma.f64 (/.f64 (-.f64 x z) y) x y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) (*.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y) (*.f64 y y))) (*.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 (-.f64 x z) y)) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (-.f64 x z) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (-.f64 x z) y) |
(fma.f64 (/.f64 (-.f64 x z) y) z (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 z (/.f64 (-.f64 x z) y) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))))) |
(+.f64 (+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y)) (/.f64 (*.f64 x (-.f64 x z)) y)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(+.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(+.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y) |
(+.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y))) |
(*.f64 (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) y)) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (-.f64 x z) y) (*.f64 y #s(literal 1/2 binary64))) |
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(-.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (/.f64 (*.f64 x (-.f64 x z)) y)) |
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 x z)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 x z)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (/.f64 (*.f64 x (-.f64 x z)) y))))) (/.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 x z)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 x z)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (/.f64 (*.f64 x (-.f64 x z)) y)))))) |
(+.f64 (/.f64 (*.f64 x (-.f64 x z)) y) (/.f64 (*.f64 z (-.f64 x z)) y)) |
(+.f64 (/.f64 (*.f64 z (-.f64 x z)) y) (/.f64 (*.f64 x (-.f64 x z)) y)) |
(+.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 z z) y)) |
(*.f64 (/.f64 (+.f64 (neg.f64 x) z) (-.f64 x z)) (/.f64 (-.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (-.f64 x z) (-.f64 x z)) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (fma.f64 z (-.f64 x z) (*.f64 x x)) (fma.f64 z (-.f64 x z) (*.f64 x x))) (/.f64 (-.f64 x z) y)) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 (-.f64 x z) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (*.f64 y y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 y z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 y) z)) (*.f64 y y)) |
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 x (neg.f64 y) (*.f64 y z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (fma.f64 x y (*.f64 y z)) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (+.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 x z) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 z (-.f64 x z) (*.f64 x x)) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) (*.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z (-.f64 x z) (*.f64 x x)) y)) |
(/.f64 (-.f64 x z) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 x z) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 x z) (neg.f64 y)) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (-.f64 x z) y)) |
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y) (/.f64 x y)) |
(-.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 z x)) y) (/.f64 (/.f64 (*.f64 x x) (-.f64 z x)) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 z z) (*.f64 (-.f64 x z) y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 z (-.f64 x z) (*.f64 x x)) y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 z (-.f64 x z) (*.f64 x x)) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x z)) y) (/.f64 (/.f64 (*.f64 z z) (-.f64 x z)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 x z) (*.f64 x x))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 x z) (*.f64 x x))) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (neg.f64 y)) (/.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 x z) (*.f64 x x))) (neg.f64 y)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 x z) (*.f64 x x))) (neg.f64 y))) |
(-.f64 (/.f64 x (neg.f64 y)) (/.f64 z y)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (-.f64 x z)))) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (-.f64 x z)))) y)) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 (*.f64 z (-.f64 x z)) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 z (-.f64 x z)) (*.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x z) y)) (/.f64 (*.f64 z z) (*.f64 (-.f64 x z) y))) |
(+.f64 (/.f64 x (neg.f64 y)) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (/ (- x z) y) (/.f64 z y)) |
Compiled 29 603 to 3 049 computations (89.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 8 | 689 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 688 | 16 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.1% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
| ▶ | 32.4% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
| ✓ | 65.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ▶ | 76.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
| ▶ | 99.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
| ✓ | 32.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 61.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| 67.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 #s(approx (* (/ (- x z) y) (+ z x)) (*.f64 (neg.f64 z) (/.f64 z y))) y) #s(literal 1/2 binary64))) | |
| 93.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) | |
| ✓ | 33.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 62.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1/2 binary64))) | |
| 62.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ x y) x) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 33.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 34.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
| 47.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))) | |
| 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
Compiled 895 to 578 computations (35.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (*.f64 (-.f64 x z) (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) | |
| cost-diff | 2 | (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) | |
| cost-diff | 9 | (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 387 |
| 0 | 73 | 382 |
| 1 | 143 | 353 |
| 2 | 407 | 353 |
| 3 | 1552 | 353 |
| 4 | 4574 | 353 |
| 0 | 8111 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(sqrt.f64 z) |
(fma.f64 (/.f64 (-.f64 x z) y) x y) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 y y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) |
(-.f64 x z) |
x |
z |
#s(approx (/ (- x z) y) (/.f64 z y)) |
(/.f64 z y) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y) |
(*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) y) (-.f64 x z)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(sqrt.f64 z) |
(fma.f64 (/.f64 (-.f64 x z) y) x y) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) |
#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) z) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 z y)) (-.f64 x z) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 z y)) (-.f64 x z) y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 z y)) (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
#s(approx (/ (- x z) y) (/.f64 z y)) |
(/.f64 z y) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 (neg.f64 z) z (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (-.f64 x z) (+.f64 z x)) | |
| accuracy | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 14.010866339411045 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 19.81665093659231 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) | |
| accuracy | 0.05859375 | (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) | |
| accuracy | 0.20186234443425943 | (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) | |
| accuracy | 22.260858724360038 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) | |
| accuracy | 58.599280663764844 | #s(approx (/ (- x z) y) (/.f64 z y)) | |
| accuracy | 0.0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) | |
| accuracy | 41.588916440952836 | #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 z) z) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 14.010866339411045 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) | |
| accuracy | 41.30391549264654 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) | |
| accuracy | 0.20186234355227695 | (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) | |
| accuracy | 2.4200659771621886 | (fma.f64 (/.f64 (-.f64 x z) y) x y) | |
| accuracy | 3.3871438448835645 | (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) |
| 111.0ms | 256× | 0 | valid |
Compiled 672 to 91 computations (86.5% saved)
ival-mult: 24.0ms (37.8% of total)ival-sub: 17.0ms (26.7% of total)ival-div: 11.0ms (17.3% of total)ival-add: 7.0ms (11% of total)ival-sqrt: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) |
(-.f64 x z) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(fma.f64 (/.f64 (-.f64 x z) y) x y) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) |
#s(approx (/ (- x z) y) (/.f64 z y)) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (* (/ 1 y) (sqrt (pow z 3)))) |
(+ (* -1 (* (/ 1 y) (sqrt (pow z 3)))) (* (/ x y) (sqrt z))) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* 1/2 (+ y (/ (pow z 2) y))) |
(+ (* -1 (/ (* x z) y)) (* 1/2 (+ y (/ (pow z 2) y)))) |
(+ (* 1/2 (+ y (/ (pow z 2) y))) (* x (+ (* -1 (/ z y)) (* 1/2 (/ x y))))) |
(+ y (/ (pow z 2) y)) |
(+ y (+ (* -2 (/ (* x z) y)) (/ (pow z 2) y))) |
(+ y (+ (* x (+ (* -2 (/ z y)) (/ x y))) (/ (pow z 2) y))) |
(* -1 z) |
(- x z) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
y |
(+ y (* -1 (/ (* x z) y))) |
(+ y (* x (+ (* -1 (/ z y)) (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ y (pow x 2))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (/ x y) (sqrt z)) |
(* x (+ (* -1 (* (/ 1 (* x y)) (sqrt (pow z 3)))) (* (/ 1 y) (sqrt z)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* 1/2 (/ (+ y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -2 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -2 (/ z (* x y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ (pow z 2) (* (pow x 2) y)))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (- (+ (/ 1 y) (/ y (pow x 2))) (/ z (* x y)))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (+ (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x)) (/ z y))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x)) (* 1/2 (+ (* -1 (/ z y)) (/ z y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (+ (* -1 (* (/ 1 y) (sqrt z))) (* (/ 1 (* x y)) (sqrt (pow z 3)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow z 2) y)) x)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow z 2) y)) x)) (* 2 (/ z y))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z x) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (/ z y)) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (+ (* x (- x z)) (* z (- x z))) y) |
(/ (+ (* x (- x z)) (+ (* z (- x z)) (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (+ (* x (- x z)) (* z (- x z))) y)) |
(/ (+ (* 1/2 (+ (* x (- x z)) (* z (- x z)))) (* 1/2 (pow y 2))) y) |
(* (/ (- x z) y) (sqrt z)) |
(- (pow x 2) (pow z 2)) |
(/ -1/2 y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ (pow z 2) y)) |
(* 1/2 (/ (pow (- x z) 2) y)) |
(/ (+ (* 1/2 (pow y 2)) (* 1/2 (pow (- x z) 2))) y) |
(/ (pow (- x z) 2) y) |
(/ (+ (pow y 2) (pow (- x z) 2)) y) |
(/ (* x (- x z)) y) |
(/ (+ (* x (- x z)) (pow y 2)) y) |
(* -1/2 (/ z y)) |
(/ (- x z) y) |
(* 2 y) |
(* y (+ 1 (+ (/ (* x (- x z)) (pow y 2)) (/ (* z (- x z)) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (+ (* x (- x z)) (* z (- x z))) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow (- x z) 2) (pow y 2))))) |
(* y (+ 1 (/ (pow (- x z) 2) (pow y 2)))) |
(* y (+ 1 (/ (* x (- x z)) (pow y 2)))) |
(* -1 (* y (- (+ (* -1 (/ (* x (- x z)) (pow y 2))) (* -1 (/ (* z (- x z)) (pow y 2)))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (+ (* -1 (* x (- x z))) (* -1 (* z (- x z)))) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow (- x z) 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow (- x z) 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* x (- x z)) (pow y 2))) 1))) |
(+ y (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* x z) y)) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1 (/ x y)) (* 1/2 (/ z y))))) |
(+ y (+ (* -2 (/ (* x z) y)) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -2 (/ x y)) (/ z y))) (/ (pow x 2) y))) |
(+ x (* -1 z)) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ y (+ (* -1 (/ (* x z) y)) (/ (pow x 2) y))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ x y) (sqrt (/ 1 (pow z 3)))))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* 1/2 (/ (pow z 2) y)) |
(* (pow z 2) (+ (* -1 (/ x (* y z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ x (* y z))) (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (* -2 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (+ (* -2 (/ x (* y z))) (+ (/ 1 y) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2))))))) |
(* z (- (/ x z) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ y z) (/ (pow x 2) (* y z))))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/ (* (pow z 2) (pow (sqrt -1) 2)) y) |
(* (pow z 2) (+ (* -1 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (/ (pow (sqrt -1) 2) y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y))) z)) (/ (pow (sqrt -1) 2) y))) |
(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (/ (pow (sqrt -1) 2) y) (sqrt (pow z 3))) |
(* (pow z 2) (+ (* -1 (* (/ (* x (pow (sqrt -1) 2)) y) (sqrt (/ 1 (pow z 3))))) (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (* 2 (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) 1/2) (* (/ (- x z) y) (sqrt z)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (+ (* (- x z) (/ (- x z) y)) y) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (+ (* (/ (- x z) y) x) y) (* (- 0 (/ 1/2 y)) z) (/ (- x z) y) (* y 2)) |
| 10.0ms | y | @ | 0 | ((+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) 1/2) (* (/ (- x z) y) (sqrt z)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (+ (* (- x z) (/ (- x z) y)) y) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (+ (* (/ (- x z) y) x) y) (* (- 0 (/ 1/2 y)) z) (/ (- x z) y) (* y 2)) |
| 8.0ms | y | @ | -inf | ((+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) 1/2) (* (/ (- x z) y) (sqrt z)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (+ (* (- x z) (/ (- x z) y)) y) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (+ (* (/ (- x z) y) x) y) (* (- 0 (/ 1/2 y)) z) (/ (- x z) y) (* y 2)) |
| 5.0ms | y | @ | inf | ((+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) 1/2) (* (/ (- x z) y) (sqrt z)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (+ (* (- x z) (/ (- x z) y)) y) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (+ (* (/ (- x z) y) x) y) (* (- 0 (/ 1/2 y)) z) (/ (- x z) y) (* y 2)) |
| 4.0ms | z | @ | -inf | ((+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (* (/ (- x z) y) (sqrt z)) (sqrt z)) (+ (* (/ (- x z) y) x) y)) 1/2) (* (/ (- x z) y) (sqrt z)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (neg z) z) (neg z) (- 0 (/ 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (* (* (- 0 (/ 1/2 y)) z) z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (+ (* (- x z) (/ (- x z) y)) y) (- x z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (+ (* (/ (- x z) y) x) y) (* (- 0 (/ 1/2 y)) z) (/ (- x z) y) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 510 | 2217 |
| 1 | 1802 | 1934 |
| 2 | 7368 | 1893 |
| 0 | 8208 | 1794 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* -1 (* (/ 1 y) (sqrt (pow z 3)))) |
(+ (* -1 (* (/ 1 y) (sqrt (pow z 3)))) (* (/ x y) (sqrt z))) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* 1/2 (+ y (/ (pow z 2) y))) |
(+ (* -1 (/ (* x z) y)) (* 1/2 (+ y (/ (pow z 2) y)))) |
(+ (* 1/2 (+ y (/ (pow z 2) y))) (* x (+ (* -1 (/ z y)) (* 1/2 (/ x y))))) |
(+ y (/ (pow z 2) y)) |
(+ y (+ (* -2 (/ (* x z) y)) (/ (pow z 2) y))) |
(+ y (+ (* x (+ (* -2 (/ z y)) (/ x y))) (/ (pow z 2) y))) |
(* -1 z) |
(- x z) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
y |
(+ y (* -1 (/ (* x z) y))) |
(+ y (* x (+ (* -1 (/ z y)) (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ y (pow x 2))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (/ x y) (sqrt z)) |
(* x (+ (* -1 (* (/ 1 (* x y)) (sqrt (pow z 3)))) (* (/ 1 y) (sqrt z)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* 1/2 (/ (+ y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -2 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -2 (/ z (* x y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ (pow z 2) (* (pow x 2) y)))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (- (+ (/ 1 y) (/ y (pow x 2))) (/ z (* x y)))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (+ (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x)) (/ z y))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x)) (* 1/2 (+ (* -1 (/ z y)) (/ z y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (+ (* -1 (* (/ 1 y) (sqrt z))) (* (/ 1 (* x y)) (sqrt (pow z 3)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow z 2) y)) x)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow z 2) y)) x)) (* 2 (/ z y))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z x) 1))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (/ z y)) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (+ (* x (- x z)) (* z (- x z))) y) |
(/ (+ (* x (- x z)) (+ (* z (- x z)) (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (+ (* x (- x z)) (* z (- x z))) y)) |
(/ (+ (* 1/2 (+ (* x (- x z)) (* z (- x z)))) (* 1/2 (pow y 2))) y) |
(* (/ (- x z) y) (sqrt z)) |
(- (pow x 2) (pow z 2)) |
(/ -1/2 y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ (pow z 2) y)) |
(* 1/2 (/ (pow (- x z) 2) y)) |
(/ (+ (* 1/2 (pow y 2)) (* 1/2 (pow (- x z) 2))) y) |
(/ (pow (- x z) 2) y) |
(/ (+ (pow y 2) (pow (- x z) 2)) y) |
(/ (* x (- x z)) y) |
(/ (+ (* x (- x z)) (pow y 2)) y) |
(* -1/2 (/ z y)) |
(/ (- x z) y) |
(* 2 y) |
(* y (+ 1 (+ (/ (* x (- x z)) (pow y 2)) (/ (* z (- x z)) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (+ (* x (- x z)) (* z (- x z))) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow (- x z) 2) (pow y 2))))) |
(* y (+ 1 (/ (pow (- x z) 2) (pow y 2)))) |
(* y (+ 1 (/ (* x (- x z)) (pow y 2)))) |
(* -1 (* y (- (+ (* -1 (/ (* x (- x z)) (pow y 2))) (* -1 (/ (* z (- x z)) (pow y 2)))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (+ (* -1 (* x (- x z))) (* -1 (* z (- x z)))) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow (- x z) 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow (- x z) 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* x (- x z)) (pow y 2))) 1))) |
(+ y (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* x z) y)) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1 (/ x y)) (* 1/2 (/ z y))))) |
(+ y (+ (* -2 (/ (* x z) y)) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -2 (/ x y)) (/ z y))) (/ (pow x 2) y))) |
(+ x (* -1 z)) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ y (+ (* -1 (/ (* x z) y)) (/ (pow x 2) y))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (* (/ 1 y) (sqrt (/ 1 z)))) (* (/ x y) (sqrt (/ 1 (pow z 3)))))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* 1/2 (/ (pow z 2) y)) |
(* (pow z 2) (+ (* -1 (/ x (* y z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ x (* y z))) (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (* -2 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (+ (* -2 (/ x (* y z))) (+ (/ 1 y) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2))))))) |
(* z (- (/ x z) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (+ (/ y z) (/ (pow x 2) (* y z))))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/ (* (pow z 2) (pow (sqrt -1) 2)) y) |
(* (pow z 2) (+ (* -1 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (/ (pow (sqrt -1) 2) y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y))) z)) (/ (pow (sqrt -1) 2) y))) |
(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(* (/ (pow (sqrt -1) 2) y) (sqrt (pow z 3))) |
(* (pow z 2) (+ (* -1 (* (/ (* x (pow (sqrt -1) 2)) y) (sqrt (/ 1 (pow z 3))))) (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (* 2 (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| Outputs |
|---|
(+ y (* -1 (/ (pow z 2) y))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) z y) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(fma.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
(* -1 (* (/ 1 y) (sqrt (pow z 3)))) |
(/.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y)) |
(+ (* -1 (* (/ 1 y) (sqrt (pow z 3)))) (* (/ x y) (sqrt z))) |
(/.f64 (fma.f64 (sqrt.f64 z) x (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))) y) |
(- (pow y 2) (pow z 2)) |
(*.f64 (+.f64 y z) (-.f64 y z)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* 1/2 (+ y (/ (pow z 2) y))) |
(*.f64 (fma.f64 (/.f64 z y) z y) #s(literal 1/2 binary64)) |
(+ (* -1 (/ (* x z) y)) (* 1/2 (+ y (/ (pow z 2) y)))) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z (neg.f64 x)) y) z)) |
(+ (* 1/2 (+ y (/ (pow z 2) y))) (* x (+ (* -1 (/ z y)) (* 1/2 (/ x y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 z)) y) x (*.f64 (fma.f64 (/.f64 z y) z y) #s(literal 1/2 binary64))) |
(+ y (/ (pow z 2) y)) |
(fma.f64 (/.f64 z y) z y) |
(+ y (+ (* -2 (/ (* x z) y)) (/ (pow z 2) y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x z) y) z y) |
(+ y (+ (* x (+ (* -2 (/ z y)) (/ x y))) (/ (pow z 2) y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) z x) y) x (fma.f64 (/.f64 z y) z y)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) z) z) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
y |
(+ y (* -1 (/ (* x z) y))) |
(fma.f64 (neg.f64 z) (/.f64 x y) y) |
(+ y (* x (+ (* -1 (/ z y)) (/ x y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) x y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (/ y (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (/ x y) (sqrt z)) |
(*.f64 (/.f64 (sqrt.f64 z) y) x) |
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(* 1/2 (/ (* (pow z 2) (pow (sqrt -1) 2)) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(* (pow z 2) (+ (* -1/2 (/ (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (/ x y) (/ (* x (pow (sqrt -1) 2)) y)))) z)) (* 1/2 (/ (pow (sqrt -1) 2) y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (/ (pow (sqrt -1) 2) y) (sqrt (pow z 3))) |
(/.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y)) |
(* (pow z 2) (+ (* -1 (* (/ (* x (pow (sqrt -1) 2)) y) (sqrt (/ 1 (pow z 3))))) (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y) (*.f64 z z)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64) (/.f64 x y)) z) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (* 2 (/ x y))) z)) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 x y) x y) (neg.f64 z))) z) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ (+ x (* -1 x)) z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x z))) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 344 |
| 0 | 73 | 339 |
| 1 | 267 | 310 |
| 2 | 2298 | 310 |
| 0 | 9381 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z)) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) |
(-.f64 x z) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(fma.f64 (/.f64 (-.f64 x z) y) x y) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) |
#s(approx (/ (- x z) y) (/.f64 z y)) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y)) (*.f64 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y) (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y)) (*.f64 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y) (-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) y) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) y) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 x z))))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) y) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) x y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y))) y) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 y)) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) (*.f64 (-.f64 x z) z))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y))) y) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 x z))))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y))) y) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) (*.f64 (-.f64 x z) z))) (*.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y)) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (*.f64 (-.f64 x z) z))) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 x z))))) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (*.f64 (-.f64 x z) z))) (*.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y)) y) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 y)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) (*.f64 (-.f64 x z) z))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y)) y) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 x z))))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 y y)) y) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) (*.f64 (-.f64 x z) z))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 x z))))) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y))) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) (-.f64 x z)) (sqrt.f64 z)))) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) (neg.f64 y))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) (*.f64 (-.f64 x z) z))) (*.f64 (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))) y)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (/.f64 (-.f64 x z) y) x y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) x) y) |
(+.f64 y (*.f64 (/.f64 (-.f64 x z) y) x)) |
(*.f64 (/.f64 z (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 z (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 z (/.f64 #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 z (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) z)) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) z)) (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))))) (/.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 z (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) z) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 z (neg.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 z (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) |
(neg.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)) |
#s(approx (/ (- x z) y) (/.f64 z y)) |
(*.f64 #s(literal -2 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal -2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) y)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) y) |
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) |
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(+.f64 (neg.f64 y) (neg.f64 y)) |
(+.f64 y y) |
Compiled 36 304 to 3 284 computations (91% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 748 | 8 | 756 |
| Fresh | 3 | 4 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 756 | 16 | 772 |
| Status | Accuracy | Program |
|---|---|---|
| 63.1% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) | |
| ✓ | 32.4% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
| 17.0% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) | |
| 32.0% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) | |
| ✓ | 65.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 42.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) #s(approx (+ (* (/ (- x z) y) x) y) (*.f64 (neg.f64 x) (/.f64 z y)))) #s(literal 1/2 binary64))) | |
| 67.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) | |
| 67.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 #s(approx (* (/ (- x z) y) (+ z x)) (*.f64 (neg.f64 z) (/.f64 z y))) y) #s(literal 1/2 binary64))) | |
| 93.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) | |
| ✓ | 33.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 62.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1/2 binary64))) | |
| 62.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ x y) x) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 33.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 34.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) | |
| 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) | |
| 53.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1/2 binary64)) y) x) x))) |
Compiled 1 631 to 535 computations (67.2% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 #s(approx (* (/ (- x z) y) (+ z x)) (*.f64 (neg.f64 z) (/.f64 z y))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (- x z) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1/2 binary64)) y) x) x))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ x y) x) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (+.f64 y z) y) (/.f64 (-.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) #s(approx (+ (* (/ (- x z) y) x) y) (*.f64 (neg.f64 x) (/.f64 z y)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z)))) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
6 calls:
| 15.0ms | y |
| 11.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 10.0ms | (*.f64 z z) |
| 10.0ms | z |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.6% | 1 | (*.f64 x x) |
| 99.6% | 1 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 #s(approx (* (/ (- x z) y) (+ z x)) (*.f64 (neg.f64 z) (/.f64 z y))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
6 calls:
| 41.0ms | (*.f64 x x) |
| 10.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.6% | 1 | (*.f64 x x) |
| 99.6% | 1 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 #s(approx (* (/ (- x z) y) (+ z x)) (*.f64 (neg.f64 z) (/.f64 z y))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
6 calls:
| 13.0ms | (*.f64 z z) |
| 9.0ms | z |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 2 | x |
| 89.7% | 2 | y |
| 93.7% | 2 | z |
| 99.6% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 91.5% | 2 | (*.f64 x x) |
| 93.7% | 2 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
1 calls:
| 18.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (+ z x) (/ (- x z) y)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) y)) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (neg.f64 z) z)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ (* (sqrt z) (sqrt z)) x) (/ (- x z) y)) 1/2) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
6 calls:
| 18.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 5 | y |
| 61.2% | 3 | x |
| 60.2% | 3 | (*.f64 x x) |
| 61.5% | 4 | z |
| 60.8% | 4 | (*.f64 z z) |
| 78.3% | 4 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) |
1 calls:
| 2.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 4 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 y y)) (+.f64 y y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
6 calls:
| 5.0ms | (*.f64 x x) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 z z) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 3 | (*.f64 z z) |
| 54.6% | 2 | y |
| 38.1% | 3 | z |
| 55.8% | 2 | (*.f64 x x) |
| 55.8% | 2 | x |
| 44.1% | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 24 to 28 computations (-16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
6 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (*.f64 z z) |
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.7% | 1 | (*.f64 z z) |
| 33.7% | 1 | z |
| 33.7% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 33.7% | 1 | y |
| 33.7% | 1 | x |
| 33.7% | 1 | (*.f64 x x) |
Compiled 24 to 28 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 1.793933320793148e-136 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 1.793933320793148e-136 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 1.793933320793148e-136 |
Compiled 18 to 17 computations (5.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.5362182141081018e+151 | 2.8461276773613333e+169 |
| 0.0ms | 0.0 | 1.793933320793148e-136 |
Compiled 18 to 17 computations (5.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.5362182141081018e+151 | 2.8461276773613333e+169 |
| 0.0ms | 0.0 | 1.793933320793148e-136 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 8.28503943027498e+176 | 1.1385893697383741e+177 |
| 3.0ms | 48× | 0 | valid |
Compiled 126 to 98 computations (22.2% saved)
ival-mult: 1.0ms (61.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 864 |
| 1 | 142 | 864 |
| 2 | 345 | 864 |
| 3 | 1171 | 864 |
| 4 | 3568 | 864 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z)))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z)))))) |
(if (<=.f64 (*.f64 x x) #s(literal 860000000000000051395261177215878934745500724041330918926263768548036604129877623945174900396438773421687279277303367303212979431425356169540550102302962289988175260381616275456 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (- x z) (neg.f64 z)) #s(approx (/ (- x z) y) (/.f64 z y)) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))))) |
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z)))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (*.f64 #s(approx (* (- 0 (/ 1/2 y)) z) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) z)))))) |
(if (<=.f64 (*.f64 x x) #s(literal 860000000000000051395261177215878934745500724041330918926263768548036604129877623945174900396438773421687279277303367303212979431425356169540550102302962289988175260381616275456 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 283 |
| 0 | 60 | 271 |
| 1 | 215 | 271 |
| 2 | 1819 | 243 |
| 0 | 9247 | 238 |
| 0 | 283 | 1416 |
| 1 | 950 | 1175 |
| 2 | 4056 | 1134 |
| 0 | 8776 | 1081 |
| 0 | 510 | 2217 |
| 1 | 1802 | 1934 |
| 2 | 7368 | 1893 |
| 0 | 8208 | 1794 |
| 0 | 314 | 1500 |
| 1 | 1092 | 1227 |
| 2 | 4747 | 1189 |
| 0 | 9237 | 1127 |
| 0 | 32 | 210 |
| 0 | 47 | 210 |
| 1 | 159 | 210 |
| 2 | 1310 | 210 |
| 0 | 9757 | 204 |
| 0 | 71 | 312 |
| 1 | 198 | 306 |
| 2 | 631 | 294 |
| 3 | 3428 | 292 |
| 0 | 8251 | 276 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 281 to 431 computations (66.4% saved)
(abs z)
Compiled 3 172 to 756 computations (76.2% saved)
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