
Time bar (total: 5.7s)
| 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)
| 639.0ms | 8 256× | 0 | valid |
ival-mult: 262.0ms (58.3% of total)ival-div: 101.0ms (22.5% of total)ival-add: 37.0ms (8.2% of total)ival-sub: 33.0ms (7.3% of total)ival-true: 5.0ms (1.1% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 0 | - | 1 | (-2.2142569042992965e-155 -3.611406399959639e-162 5.34429076105478e-205) | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 25 | 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 | 60 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 142 | |
| ↳ | (*.f64 y y) | overflow | 62 | |
| ↳ | (*.f64 x x) | overflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 103 | |
| ↳ | (*.f64 z z) | overflow | 64 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 25 | 0 |
| ↳ | (*.f64 y y) | overflow | 62 | |
| ↳ | (*.f64 x x) | overflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 103 | |
| ↳ | (*.f64 z z) | overflow | 64 | |
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | u/n | 5 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 5 | |
| ↳ | (*.f64 y y) | underflow | 68 | |
| ↳ | (*.f64 x x) | underflow | 56 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 16 | |
| ↳ | (*.f64 z z) | underflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 1 |
| - | 0 | 174 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 1 |
| - | 0 | 0 | 174 |
| number | freq |
|---|---|
| 0 | 175 |
| 1 | 72 |
| 2 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 512× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-div: 18.0ms (50.1% of total)ival-mult: 13.0ms (36.2% of total)ival-sub: 2.0ms (5.6% of total)ival-add: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 |
|---|---|---|
| ▶ | 69.9% | (/.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 y #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 5.542946044132265 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| accuracy | 15.10284889576853 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 18.0ms | 256× | 0 | valid |
Compiled 51 to 13 computations (74.5% saved)
ival-mult: 6.0ms (61.7% of total)ival-div: 2.0ms (20.6% of total)ival-sub: 1.0ms (10.3% of total)ival-add: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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) |
(*.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))) |
(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)) |
(* 2 y) |
(* 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2)) |
| 1.0ms | x | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2)) |
| 1.0ms | x | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2)) |
| 1.0ms | y | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2)) |
| 1.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 315 |
| 1 | 201 | 309 |
| 2 | 634 | 297 |
| 3 | 3432 | 295 |
| 0 | 8259 | 279 |
| 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)) |
(* 2 y) |
(* 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)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 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 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 0 | 18 | 39 |
| 1 | 76 | 39 |
| 2 | 745 | 39 |
| 0 | 8750 | 36 |
| 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) |
(*.f64 y #s(literal 2 binary64)) |
| 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)))) |
(*.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 10 844 to 1 364 computations (87.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 10 | 346 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 10 | 347 |
| Status | Accuracy | Program |
|---|---|---|
| 92.5% | (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))) | |
| ▶ | 63.6% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) |
| 57.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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))) | |
| 65.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| ▶ | 99.9% | #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))) |
| ▶ | 61.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
| 68.6% | #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))) | |
| ▶ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 32.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 492 to 328 computations (33.3% saved)
| 1× | egg-herbie |
Found 18 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 (*.f64 z z) y) | |
| cost-diff | 0 | (-.f64 y (/.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 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 | 33 | 244 |
| 0 | 50 | 244 |
| 1 | 102 | 244 |
| 2 | 309 | 244 |
| 3 | 1215 | 244 |
| 4 | 3806 | 244 |
| 0 | 8102 | 238 |
| 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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#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 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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#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)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 #s(literal 2 binary64) y)) |
#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)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
Found 18 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 | 15.10284889576853 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y #s(literal 2 binary64))) | |
| accuracy | 17.227267683828824 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) | |
| accuracy | 0.0 | (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 7.2589667683399846 | (/.f64 (*.f64 z z) y) | |
| accuracy | 21.396646997495772 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 7.719128948233716 | (/.f64 (*.f64 x x) y) | |
| accuracy | 41.77519382942826 | #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 | 43.144690805682515 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) 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) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.08203125 | (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
| 152.0ms | 256× | 0 | valid |
Compiled 197 to 27 computations (86.3% saved)
ival-mult: 92.0ms (87.3% of total)ival-div: 6.0ms (5.7% of total)ival-add: 4.0ms (3.8% of total)ival-sub: 3.0ms (2.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z z) y) |
(/.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) |
(/.f64 (-.f64 x z) y) |
(*.f64 z z) |
(*.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 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(* -1 z) |
(- x z) |
(* -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 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ 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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -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) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(/ (pow z 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)))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (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 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (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))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ x (* -1 z)) |
(pow z 2) |
(* (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 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)) |
(* z (- (/ x z) 1)) |
(* 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 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2)) |
| 4.0ms | 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2)) |
| 3.0ms | 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ (* z z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (/ (- x z) y) (* z z) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 320 | 1223 |
| 1 | 1078 | 1125 |
| 2 | 4437 | 1029 |
| 0 | 8643 | 987 |
| 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 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(* -1 z) |
(- x z) |
(* -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 (+ (* -1 (/ z x)) (/ z x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(* x (+ 1 (* -1 (/ z x)))) |
(/ 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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -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) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(/ (pow z 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)))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (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 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (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))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ x (* -1 z)) |
(pow z 2) |
(* (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 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)) |
(* z (- (/ x z) 1)) |
(* 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 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| 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 (-.f64 x z) y) (+.f64 z 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 (-.f64 y (/.f64 (*.f64 z 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))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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))))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* -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 x x) y) #s(literal 1/2 binary64)) |
(* (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 (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 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(/.f64 (*.f64 x 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 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) 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 (fma.f64 (/.f64 y x) (/.f64 y x) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64)) x) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) 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 (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 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (/.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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) y) x) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/ (* (+ x z) (- x z)) y) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(- (pow x 2) (pow z 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) y y) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) y)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) y 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal -1/2 binary64)) #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 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 z x) y) y) (+.f64 z x)) #s(literal 1 binary64))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1 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 (-.f64 x z) y) (+.f64 z 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 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)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (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 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(pow z 2) |
(*.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 #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 (/ 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 -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (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 (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)) (*.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) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal -1 binary64)) z) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) 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)))) |
(*.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 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (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 (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal -1 binary64)) z) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (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 | 33 | 222 |
| 0 | 50 | 222 |
| 1 | 180 | 222 |
| 2 | 1547 | 222 |
| 0 | 8832 | 216 |
| 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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z z) y) |
(/.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) |
(/.f64 (-.f64 x z) y) |
(*.f64 z z) |
(*.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 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.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 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))))))) |
(/.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 (/.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 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))) |
(/.f64 (-.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)) #s(literal 3 binary64))) (fma.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)) (fma.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 (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)))))) |
(/.f64 (-.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 y (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) y))))) |
(/.f64 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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 (/.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)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) y)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (neg.f64 (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 z x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(neg.f64 (-.f64 x z)) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) (-.f64 x z)) (+.f64 z x))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) (-.f64 x z)) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 z z) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(-.f64 x z) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x)))) |
(+.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 z z) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z x))) |
(*.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 z)) (+.f64 z x)) (/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) y)) |
(*.f64 (/.f64 (+.f64 (neg.f64 x) z) (+.f64 z x)) (/.f64 (-.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (+.f64 x (neg.f64 z)) (+.f64 z x)) (/.f64 (-.f64 x (neg.f64 z)) y)) |
(*.f64 (/.f64 (-.f64 x z) (+.f64 z x)) (/.f64 (+.f64 z x) y)) |
(*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (-.f64 x z) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 z x) 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 x y) (*.f64 y z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (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)) (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 (-.f64 x z) (+.f64 z x))) (neg.f64 (*.f64 (+.f64 z x) 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 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (*.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 (/.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 (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 (-.f64 x z) z) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (-.f64 x z) x) (*.f64 (+.f64 z x) y))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (neg.f64 x) (-.f64 x z)) (*.f64 (+.f64 z x) 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 x y) (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (-.f64 x z) z) (*.f64 (+.f64 z x) y))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (-.f64 x z) x) (*.f64 (+.f64 z x) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (+.f64 z x) y))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (pow.f64 z #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.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 (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 27 054 to 2 780 computations (89.7% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 8 | 631 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 629 | 12 | 641 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.6% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
| 65.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| 73.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) y) #s(literal 1/2 binary64))) | |
| ▶ | 91.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) 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))) |
| 66.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) | |
| ▶ | 34.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 31.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) | |
| ▶ | 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
| 91.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 z x) y) y) (+.f64 z x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 32.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 626 to 410 computations (34.5% 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 y)) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z 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 z z) | |
| cost-diff | 0 | (/.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) 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 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 353 |
| 0 | 68 | 353 |
| 1 | 131 | 353 |
| 2 | 356 | 353 |
| 3 | 1261 | 353 |
| 4 | 3773 | 353 |
| 0 | 8326 | 347 |
| 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) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
y |
(neg.f64 z) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#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 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)) |
#s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(neg.f64 z) |
z |
(/.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)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
(+.f64 y y) |
y |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) |
(fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
y |
(neg.f64 z) |
#s(literal 1/2 binary64) |
#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 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#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 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (/.f64 (neg.f64 z) y) z)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (/.f64 (neg.f64 z) y) z)) #s(literal 1/2 binary64)) |
#s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) |
#s(approx (- y (/ (* z z) y)) (*.f64 (/.f64 (neg.f64 z) y) z)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(*.f64 (/.f64 (neg.f64 z) y) z) |
(neg.f64 z) |
z |
(/.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)) |
(/.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 y) |
(*.f64 #s(literal 2 binary64) y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 (-.f64 x z) (+.f64 z x)) | |
| accuracy | 15.10284889576853 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) | |
| accuracy | 17.227267683828824 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.125 | (*.f64 (neg.f64 z) (/.f64 z y)) | |
| accuracy | 21.396646997495772 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) | |
| accuracy | 30.816181423654516 | #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 41.77519382942826 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) | |
| accuracy | 7.2589667683399846 | (/.f64 (*.f64 z z) y) | |
| accuracy | 41.54764759818316 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) | |
| accuracy | 0.0 | #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) | |
| accuracy | 0.08203125 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) | |
| accuracy | 3.3259864018971053 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) | |
| accuracy | 4.890651305880157 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
| 101.0ms | 256× | 0 | valid |
Compiled 237 to 39 computations (83.5% saved)
exact: 35.0ms (45.2% of total)ival-mult: 18.0ms (23.2% of total)ival-div: 14.0ms (18.1% of total)ival-add: 4.0ms (5.2% of total)ival-sub: 4.0ms (5.2% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) |
(+.f64 z x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
#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 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)) |
#s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(/.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)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(-.f64 x z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) |
(neg.f64 z) |
(+.f64 y y) |
| 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) |
(/ x y) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(* -1 z) |
(- x z) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (* y z))) (/ 1 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) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (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))))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x (* y z))) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(* (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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x 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 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(- (pow x 2) (pow z 2)) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(/ (- 1 (/ x z)) y) |
(/ (- x z) y) |
(* 2 y) |
(* 1/2 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)))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (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 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (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 z 2) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ x (* -1 z)) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(* (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 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)) |
(* z (- (/ x z) 1)) |
(* 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 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 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 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (/ (- x z) y) (neg z) (+ y y)) |
| 4.0ms | 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 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (/ (- x z) y) (neg z) (+ y y)) |
| 4.0ms | 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 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (/ (- x z) y) (neg z) (+ y y)) |
| 4.0ms | 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 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (/ (- x z) y) (neg z) (+ y y)) |
| 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 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* 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)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (* (neg z) (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (+ y y)) (- (+ (* x x) (* y y)) (* z z)) (* (- x z) (+ z x)) (- x z) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- 1 (/ x z)) y) (/ (- x z) y) (neg z) (+ y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 1291 |
| 1 | 1111 | 1197 |
| 2 | 4515 | 1093 |
| 0 | 8394 | 1053 |
| 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) |
(/ x y) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(* -1 z) |
(- x z) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (* y z))) (/ 1 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) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (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))))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x (* y z))) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(* (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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x 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 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(- (pow x 2) (pow z 2)) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(/ (- 1 (/ x z)) y) |
(/ (- x z) y) |
(* 2 y) |
(* 1/2 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)))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (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 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (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 z 2) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(+ x (* -1 z)) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(* (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 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)) |
(* z (- (/ x z) 1)) |
(* 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 (/ (+ x (* -1 x)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) z)))) z)) 1)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| 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 (-.f64 x z) y) (+.f64 z 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 (-.f64 y (/.f64 (*.f64 z 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))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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))))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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) |
(/ x y) |
(/.f64 x 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 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ z (* -1 z)))) |
(*.f64 (neg.f64 z) z) |
(+ (* -1 (pow z 2)) (* x (+ x (+ z (* -1 z))))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (* y z))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.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 x x) y) #s(literal 1/2 binary64)) |
(* (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 (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 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(/.f64 (*.f64 x 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 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) x (/.f64 x y))) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (/ z x)))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64)) x) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) y) x) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) 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 (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 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (/.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 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) y) x) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/ (* (+ x z) (- x z)) y) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(- (pow x 2) (pow z 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
(/ (- 1 (/ x z)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) y y) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) y)) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) y 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 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal -1/2 binary64)) #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 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y) y) #s(literal -1/2 binary64)) #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 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (*.f64 z z) y) y) #s(literal 1 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 (-.f64 x z) y) (+.f64 z 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 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)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (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 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(+ (* z (+ x (* -1 x))) (pow x 2)) |
(*.f64 x x) |
(+ (* z (+ x (+ (* -1 x) (* -1 z)))) (pow x 2)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(/.f64 (-.f64 z x) (*.f64 z 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 #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 (/ 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 -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (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 (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) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)) (*.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) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (/ x z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ x z)) (+ (/ x z) (/ (pow x 2) (pow z 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal 1 binary64)) (*.f64 z z)) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) 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)))) |
(*.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 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) z) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (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 x z) (/.f64 x z)) #s(literal 1 binary64)) (*.f64 z z)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 320 |
| 0 | 68 | 320 |
| 1 | 233 | 320 |
| 2 | 1851 | 320 |
| 0 | 9467 | 310 |
| 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) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) |
(+.f64 z x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
#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 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64)) |
#s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(/.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)) (*.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(-.f64 x z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) |
(neg.f64 z) |
(+.f64 y y) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x) y)) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 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 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (*.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 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.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 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.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 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) (+.f64 z x)) #s(literal 1/2 binary64))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x z) x (*.f64 z z)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 z) z)) |
(fma.f64 (-.f64 x z) z (*.f64 (-.f64 x z) x)) |
(fma.f64 (-.f64 x z) x (*.f64 (-.f64 x z) z)) |
(fma.f64 z (-.f64 x z) (*.f64 (-.f64 x z) x)) |
(fma.f64 x (-.f64 x z) (*.f64 (-.f64 x z) z)) |
(fma.f64 x x (*.f64 (neg.f64 z) z)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x x (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) z) #s(literal 2 binary64)) (*.f64 (-.f64 x z) (+.f64 z x))) (/.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)) (*.f64 (-.f64 x z) (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (-.f64 x z) z) (*.f64 (neg.f64 x) (-.f64 x z))) |
(-.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x z) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x))))) (/.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x z) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x)))))) |
(+.f64 (*.f64 (-.f64 x z) x) (*.f64 (-.f64 x z) z)) |
(+.f64 (*.f64 (-.f64 x z) z) (*.f64 (-.f64 x z) x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 (/.f64 (-.f64 x z) (+.f64 z x)) (/.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x)) |
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 x z) x (*.f64 z z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x)))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 z x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(neg.f64 (-.f64 x z)) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) (-.f64 x z)) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 z z) (neg.f64 (+.f64 z x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x))) |
(-.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) (-.f64 x z)) (+.f64 z x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(-.f64 x z) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 (-.f64 x z) x) (neg.f64 (+.f64 z x)))) |
(+.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 z x))) (/.f64 (*.f64 z z) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x z) z) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) x) (+.f64 z x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z x))) |
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y)) z) |
(*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) y) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 x z)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 x z)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 y) (/.f64 x z))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (*.f64 z y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (neg.f64 (/.f64 x z)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 y x)) (*.f64 y (*.f64 z y))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z))) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 x z))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) y))))) (/.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) y)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 y y)) (/.f64 (*.f64 y (/.f64 x z)) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64))) y)) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) (/.f64 (*.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
#s(approx (/ (- x z) y) (*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y))) |
(neg.f64 z) |
(*.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 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.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 (*.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 (/.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 (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 #s(literal 0 binary64) #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))) |
(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 27 081 to 2 660 computations (90.2% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 7 | 597 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 594 | 15 | 609 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
| 16.5% | (/.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)) |
| ▶ | 65.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ▶ | 94.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
| 82.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 (-.f64 z x) (*.f64 z y))) (neg.f64 z))) y) #s(literal 1/2 binary64))) | |
| ▶ | 66.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
| 91.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) #s(approx (* (/ (- 1 (/ x z)) y) (neg z)) (*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z))) y) #s(literal 1/2 binary64))) | |
| 66.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) | |
| ✓ | 34.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 31.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) | |
| ▶ | 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
| 91.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 z x) y) y) (+.f64 z x)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 32.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 802 to 522 computations (34.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) 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 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) 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 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) | |
| cost-diff | 0 | (+.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 409 |
| 0 | 72 | 409 |
| 1 | 128 | 409 |
| 2 | 354 | 409 |
| 3 | 1289 | 409 |
| 4 | 3867 | 409 |
| 0 | 8355 | 403 |
| 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) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
y |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) |
(*.f64 x x) |
x |
(+.f64 y y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(/.f64 z y) |
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) |
(/.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 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) |
(*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
#s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(neg.f64 z) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 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 #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) (+.f64 z x) y))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) (+.f64 z x) y)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) |
(fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) (/.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
y |
#s(literal 1/2 binary64) |
(/.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 x x)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) |
(*.f64 x x) |
x |
(+.f64 y y) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(/.f64 z y) |
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) |
(/.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 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) 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 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) |
(fma.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
#s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) |
(*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
#s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(neg.f64 z) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) | |
| accuracy | 0.08203125 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) | |
| accuracy | 4.890651305880157 | (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) | |
| accuracy | 32.744460701619296 | #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 x y) x y) | |
| accuracy | 22.35776563145028 | #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 z y) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 0.125 | (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) | |
| accuracy | 41.54764759818316 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) | |
| accuracy | 0.0 | (+.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 15.10284889576853 | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) | |
| accuracy | 38.68761854086233 | #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) | |
| 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 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) | |
| accuracy | 0.08203125 | (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) | |
| accuracy | 7.472352749954248 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
| 66.0ms | 256× | 0 | valid |
Compiled 254 to 39 computations (84.6% saved)
ival-mult: 17.0ms (39.2% of total)ival-div: 14.0ms (32.3% of total)ival-add: 5.0ms (11.5% of total)ival-sub: 5.0ms (11.5% of total)ival-neg: 1.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) |
(+.f64 z x) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 y y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 z 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) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
#s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) |
#s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
#s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) |
| 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) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x y) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (* y z))) (/ 1 y)) |
(* 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 (/ (+ (* -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) 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 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x (* y z))) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(* (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))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x 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) |
(- (pow x 2) (pow z 2)) |
(* 2 y) |
(* -1/2 (/ (pow z 2) y)) |
(/ z y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(/ (- x z) y) |
(/ (- 1 (/ x z)) 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 (+ 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)))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 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 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (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 (+ (* 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))) |
(* -1/2 z) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(* (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)))) |
(* -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))) |
(* z (+ 1 (/ x z))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* 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))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | z | @ | 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 y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) 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) (* (- 1 (/ x z)) (/ (neg z) y)) (/ (- x z) y) (/ (- 1 (/ x z)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- x z) y)) |
| 8.0ms | 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 y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) 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) (* (- 1 (/ x z)) (/ (neg z) y)) (/ (- x z) y) (/ (- 1 (/ x z)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- x z) y)) |
| 6.0ms | x | @ | 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 y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) 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) (* (- 1 (/ x z)) (/ (neg z) y)) (/ (- x z) y) (/ (- 1 (/ x z)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- x z) y)) |
| 4.0ms | 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 y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) 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) (* (- 1 (/ x z)) (/ (neg z) y)) (/ (- x z) y) (/ (- 1 (/ x z)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- x z) y)) |
| 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 y)) (- (+ (* x x) (* y y)) (* z z)) (* x x) (+ y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) 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) (* (- 1 (/ x z)) (/ (neg z) y)) (/ (- x z) y) (/ (- 1 (/ x z)) y) (* (/ (- 1 (/ x z)) y) (neg z)) (/ (- x z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 1102 |
| 1 | 899 | 1049 |
| 2 | 3577 | 981 |
| 0 | 8995 | 935 |
| 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) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x y) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x (* y z))) (/ 1 y)) |
(* 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 (/ (+ (* -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) 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 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x (* y z))) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(* (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))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x 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) |
(- (pow x 2) (pow z 2)) |
(* 2 y) |
(* -1/2 (/ (pow z 2) y)) |
(/ z y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(/ (- x z) y) |
(/ (- 1 (/ x z)) 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 (+ 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)))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 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 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (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 (+ (* 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))) |
(* -1/2 z) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(* (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)))) |
(* -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))) |
(* z (+ 1 (/ x z))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* 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))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| 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 (-.f64 x z) y) (+.f64 z 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 (-.f64 y (/.f64 (*.f64 z 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))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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))))) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z 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)) |
(pow x 2) |
(*.f64 x x) |
(* 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) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (* y z))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(* 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 #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 x x) y) #s(literal 1/2 binary64)) |
(* (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 (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) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(/.f64 (*.f64 x 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 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) 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 (/ 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 (/.f64 y (*.f64 x x)) x (/.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) |
(* -1 (/ x (* y z))) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(* x (- (/ 1 (* x y)) (/ 1 (* y z)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) 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 (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 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (/.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))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 1 binary64)) y) x) |
(* -1 (* x (- (/ 1 (* y z)) (/ 1 (* x y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(* 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 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(- (pow x 2) (pow z 2)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(/ z y) |
(/.f64 z y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(/ (+ (pow x 2) (pow y 2)) y) |
(fma.f64 (/.f64 x y) x y) |
(* -1 (/ (* z (- 1 (/ x z))) y)) |
(*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- 1 (/ x z)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) 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 (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #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 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y) y) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 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 (- (* -1/2 (/ (- (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 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) 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))) |
(* 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 (-.f64 x z) y) (+.f64 z 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 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)))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (/.f64 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) 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)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(/ (+ (* -1 (/ x y)) (/ z y)) z) |
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x z) y) 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 #s(literal -1/2 binary64) (/.f64 z y)) 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 -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (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 (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) |
(* -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 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) (*.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 #s(literal -1/2 binary64) (/.f64 z y)) 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 -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (neg.f64 z))) 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))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (neg.f64 z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 369 |
| 0 | 72 | 369 |
| 1 | 244 | 369 |
| 2 | 1943 | 369 |
| 0 | 9544 | 359 |
| 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) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) |
(+.f64 z x) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 y y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 z 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) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64)) |
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
#s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) |
#s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
#s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y)) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 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 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (*.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 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (+.f64 z x)) #s(literal 2 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y))) |
(-.f64 y (*.f64 (neg.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z)))) (+.f64 z x))) |
(-.f64 y (*.f64 (neg.f64 (+.f64 z x)) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (*.f64 (+.f64 z x) y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (*.f64 (+.f64 z x) y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (*.f64 (+.f64 z x) y))))) (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (*.f64 (+.f64 z x) y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x))) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y))) |
(+.f64 (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x)) y) |
(+.f64 y (*.f64 #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) (+.f64 z x))) |
(*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 (neg.f64 z) y))) (neg.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (neg.f64 z) y))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 y) (+.f64 (/.f64 x z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (neg.f64 (*.f64 y (+.f64 (/.f64 x z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))) (neg.f64 (*.f64 y (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z)) (neg.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 z))) (neg.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) z)) (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 z))) (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 (neg.f64 z) y)) (+.f64 (/.f64 x z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (neg.f64 z) y)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (+.f64 (/.f64 x z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) (neg.f64 y)) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (+.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 y (+.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (*.f64 y (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 z)) (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) z) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 z)) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) y) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 z y))) |
(neg.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
#s(approx (/ (- x z) y) (*.f64 (/.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
#s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64)))) z) |
(*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z)) |
(*.f64 (neg.f64 z) #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) z)) |
#s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (pow.f64 y #s(literal -1 binary64))) (neg.f64 z))) |
Compiled 23 613 to 1 869 computations (92.1% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 2 | 440 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 441 | 14 | 455 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (-.f64 x z) (+.f64 z x))) (+.f64 y y)) |
| 16.5% | (/.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)) |
| ✓ | 65.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ✓ | 94.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) y) #s(literal 1/2 binary64))) |
| ✓ | 66.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
| 66.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) | |
| ✓ | 34.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 31.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) | |
| ✓ | 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
| 55.0% | #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))) | |
| 91.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) y)) #s(literal 1/2 binary64))) | |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 32.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 1 214 to 426 computations (64.9% 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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.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)) (*.f64 (/.f64 (*.f64 x 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))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) 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 (+.f64 z x) (/.f64 (-.f64 x z) 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 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))) 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)) (*.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)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (*.f64 #s(approx (/ (- 1 (/ x z)) y) (/.f64 (-.f64 z x) (*.f64 z y))) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 z x) #s(literal 1 binary64)) 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) #s(approx (* (/ (- 1 (/ x z)) y) (neg z)) (*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) 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 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (neg.f64 z) y))) 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 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (+ z x) (/ (- x z) y)) y) (*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 z x) y) y) (+.f64 z x)) #s(literal 1 binary64)))) #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 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))) |
| 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:
| 51.0ms | (*.f64 x x) |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 z z) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | 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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.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)) (*.f64 (/.f64 (*.f64 x 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))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) 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 (+.f64 z x) (/.f64 (-.f64 x z) 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)) (*.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 x y) x 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))) |
6 calls:
| 13.0ms | x |
| 5.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 z z) |
| 4.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | (*.f64 z z) |
| 86.6% | 2 | (*.f64 x x) |
| 96.5% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 86.6% | 2 | x |
| 85.7% | 2 | y |
| 87.4% | 2 | 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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.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)) (*.f64 (/.f64 (*.f64 x 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))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (- y (/ (* z z) y)) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) 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)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | (/.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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.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)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#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))) |
6 calls:
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 4 | y |
| 55.7% | 2 | (*.f64 x x) |
| 55.7% | 2 | x |
| 56.5% | 2 | (*.f64 z z) |
| 56.5% | 2 | z |
| 71.3% | 3 | (/.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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#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)) |
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 |
|---|---|---|
| 69.0% | 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)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
| Outputs |
|---|
#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 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (+.f64 y y)) |
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 |
|---|---|---|
| 67.9% | 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)) |
| Outputs |
|---|
(/.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)) |
6 calls:
| 27.0ms | (*.f64 z z) |
| 2.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 2 | y |
| 49.9% | 2 | (*.f64 x x) |
| 49.9% | 2 | x |
| 36.3% | 3 | z |
| 32.6% | 1 | (*.f64 z z) |
| 39.9% | 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)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.6% | 1 | z |
| 32.6% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 32.6% | 1 | (*.f64 x x) |
| 32.6% | 1 | x |
| 32.6% | 1 | y |
Compiled 21 to 24 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -6.992374436702257e-104 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.992374436702257e-104 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2626355521485166e+146 | 1.883814740345151e+159 |
| 0.0ms | -6.992374436702257e-104 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2626355521485166e+146 | 1.883814740345151e+159 |
| 0.0ms | -6.992374436702257e-104 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2626355521485166e+146 | 1.883814740345151e+159 |
| 0.0ms | -6.992374436702257e-104 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.9788749878960595e+117 | 4.988100825043471e+123 |
| 9.0ms | 144× | 0 | valid |
Compiled 360 to 269 computations (25.3% saved)
ival-mult: 3.0ms (54.5% of total)ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)ival-add: 1.0ms (18.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 537 |
| 1 | 101 | 537 |
| 2 | 257 | 537 |
| 3 | 955 | 537 |
| 4 | 2880 | 537 |
| 1× | node 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))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 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))) (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 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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 -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) #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))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 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)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 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)))) |
(if (<=.f64 y #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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)) (*.f64 #s(literal 1/2 binary64) 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 (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 -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 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))) (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 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))))) |
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 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)) (*.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 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 -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #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 -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) #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))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 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)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -8069530869021589/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 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)))) |
(if (<=.f64 y #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 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)) (*.f64 #s(literal 1/2 binary64) 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 | 33 | 222 |
| 0 | 50 | 222 |
| 1 | 180 | 222 |
| 2 | 1547 | 222 |
| 0 | 8832 | 216 |
| 0 | 72 | 315 |
| 1 | 201 | 309 |
| 2 | 634 | 297 |
| 3 | 3432 | 295 |
| 0 | 8259 | 279 |
| 0 | 46 | 320 |
| 0 | 68 | 320 |
| 1 | 233 | 320 |
| 2 | 1851 | 320 |
| 0 | 9467 | 310 |
| 0 | 334 | 1291 |
| 1 | 1111 | 1197 |
| 2 | 4515 | 1093 |
| 0 | 8394 | 1053 |
| 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 |
Compiled 537 to 67 computations (87.5% saved)
(negabs y)
(abs z)
Compiled 1 358 to 322 computations (76.3% saved)
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