
Time bar (total: 7.1s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 382.0ms (65.7% of total)ival-div: 89.0ms (15.3% of total)ival-sub: 60.0ms (10.3% of total)ival-add: 35.0ms (6% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 0 | - | 1 | (-2.9015560540558662e-157 -8.213870992535481e-204 -6.509844243320551e-205) | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 26 | 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 | 56 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 155 | |
| ↳ | (*.f64 y y) | overflow | 57 | |
| ↳ | (*.f64 x x) | overflow | 78 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 118 | |
| ↳ | (*.f64 z z) | overflow | 63 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 26 | 0 |
| ↳ | (*.f64 y y) | overflow | 57 | |
| ↳ | (*.f64 x x) | overflow | 78 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 118 | |
| ↳ | (*.f64 z z) | overflow | 63 | |
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | u/n | 1 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 1 | |
| ↳ | (*.f64 y y) | underflow | 63 | |
| ↳ | (*.f64 x x) | underflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 9 | |
| ↳ | (*.f64 z z) | underflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 1 |
| - | 0 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 1 |
| - | 0 | 0 | 178 |
| number | freq |
|---|---|
| 0 | 179 |
| 1 | 71 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 215 to 62 computations (71.2% saved)
ival-mult: 13.0ms (59.1% of total)ival-div: 4.0ms (18.2% of total)ival-sub: 2.0ms (9.1% of total)ival-add: 2.0ms (9.1% of total)ival-true: 1.0ms (4.5% 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 | 147 | 135 |
| 2 | 489 | 135 |
| 3 | 2191 | 135 |
| 4 | 6834 | 117 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 32 | 15 |
| 2 | 69 | 15 |
| 3 | 136 | 15 |
| 4 | 295 | 15 |
| 5 | 630 | 15 |
| 6 | 1505 | 13 |
| 7 | 3475 | 13 |
| 8 | 7859 | 13 |
| 0 | 8033 | 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 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64)) |
(abs z)
(abs x)
(negabs y)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.2% | (/.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 128 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 18 | 49 |
| 1 | 32 | 49 |
| 2 | 69 | 49 |
| 3 | 136 | 49 |
| 4 | 295 | 49 |
| 5 | 630 | 49 |
| 6 | 1505 | 47 |
| 7 | 3475 | 47 |
| 8 | 7859 | 47 |
| 0 | 8033 | 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 (-.f64 x z) y) (+.f64 z x) 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 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 5.890596101622882 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| accuracy | 13.31693465021412 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 19.0ms | 256× | 0 | valid |
Compiled 100 to 24 computations (76% saved)
ival-mult: 6.0ms (59.2% of total)ival-div: 2.0ms (19.7% of total)ival-sub: 1.0ms (9.9% of total)ival-add: 1.0ms (9.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 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 x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 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) (pow z 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 y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 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 z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))) |
| 1.0ms | x | @ | inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))) |
| 1.0ms | x | @ | 0 | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))) |
| 1.0ms | z | @ | inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))) |
| 1.0ms | y | @ | -inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 283 |
| 1 | 196 | 283 |
| 2 | 567 | 257 |
| 3 | 2178 | 253 |
| 4 | 6027 | 249 |
| 0 | 8163 | 231 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 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 x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 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) (pow z 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 y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 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 z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
| Outputs |
|---|
(- (pow y 2) (pow z 2)) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 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)) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.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 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(- (pow x 2) (pow z 2)) |
(*.f64 (-.f64 x z) (+.f64 z 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)) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* 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 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.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)))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 0 | 18 | 39 |
| 1 | 68 | 39 |
| 2 | 569 | 39 |
| 0 | 8301 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (-.f64 (*.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 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z)))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (pow.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))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (-.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x)))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 z (neg.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (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 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (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 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 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 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 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 #s(literal 2 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y))) |
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z)))) |
(+.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))) |
Compiled 17 631 to 1 646 computations (90.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 13 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 532 | 13 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| 51.0% | (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | |
| ▶ | 52.0% | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
| 53.0% | (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y)) | |
| 62.4% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) | |
| ▶ | 76.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
| 17.2% | (*.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))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (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))))) | |
| ▶ | 99.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
| ▶ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 36.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| 59.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| 70.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) | |
| ▶ | 31.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 30.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 714 to 406 computations (43.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| cost-diff | 1024 | (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| cost-diff | 2688 | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) | |
| 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 #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 (-.f64 x z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 287 |
| 0 | 66 | 270 |
| 1 | 129 | 268 |
| 2 | 351 | 268 |
| 3 | 1286 | 260 |
| 4 | 5172 | 260 |
| 0 | 8780 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #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 (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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
#s(literal 1/2 binary64) |
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) |
y |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(+.f64 y z) |
z |
(-.f64 y z) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 y z) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #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 (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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) |
(/.f64 y (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))) |
y |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) |
(+.f64 y z) |
(+.f64 z y) |
z |
(-.f64 y z) |
(*.f64 x x) |
x |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) (fma.f64 x x (*.f64 y y)) #s(literal -2 binary64)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) (fma.f64 x x (*.f64 y y))) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(/.f64 (fma.f64 x x (*.f64 y y)) y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
y |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) y) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 y z) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) z) y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19207001953688402 | (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) | |
| accuracy | 10.005594193103521 | (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| accuracy | 15.278252899277373 | (/.f64 (fma.f64 y y (*.f64 x x)) y) | |
| accuracy | 19.628889678124082 | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) | |
| accuracy | 1.999977980844482 | (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) | |
| accuracy | 13.980017210164487 | (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (/.f64 x y) x y) | |
| accuracy | 21.10223656679959 | #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 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 44.097615682892915 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
| 70.0ms | 256× | 0 | valid |
Compiled 562 to 80 computations (85.8% saved)
ival-mult: 18.0ms (35.2% of total)ival-div: 15.0ms (29.3% of total)ival-add: 14.0ms (27.4% of total)ival-sub: 4.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(/.f64 (-.f64 x z) y) |
#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 (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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) |
(+.f64 y z) |
(-.f64 y z) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y 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)))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x y) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(/ y (* (+ y z) (- y z))) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 2 (/ (pow y 2) (pow z 2))) |
(+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) |
(- (* 2 (/ (pow y 2) (pow z 2))) 2) |
(- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2) |
(* (+ y z) (- y z)) |
(+ (* (+ y z) (- y z)) (pow x 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) (+ (* 1/2 (/ (+ (* -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 (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* 2 (/ (pow x 2) (pow z 2))) |
(* (pow x 2) (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (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 (- (/ 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) |
(/ (- x z) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ y (+ (* -1 (pow z 2)) (pow x 2))) |
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
z |
(+ y z) |
(* -1 z) |
(- y z) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y)) |
(/ (+ (* 1/4 (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2))) (* 1/2 (pow y 2))) y) |
(* 4 (/ y (pow z 2))) |
(- (* 2 (/ (pow x 2) (pow z 2))) 2) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(* 2 (/ y (pow z 2))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(* (pow y 2) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(* (pow y 2) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (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 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ 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))) |
(/ y (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ y (* -1 z)) |
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) |
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (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)))) |
(* (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 (- (/ x (* y z)) (/ 1 y))) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(* z (+ 1 (/ y z))) |
(* z (- (/ y z) 1)) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
-2 |
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 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 (* y z))) (/ 1 y)))) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) |
| 10.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) |
| 6.0ms | x | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) |
| 6.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) |
| 6.0ms | y | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 636 | 2956 |
| 1 | 2145 | 2434 |
| 0 | 8592 | 2311 |
| 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)))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x y) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(/ y (* (+ y z) (- y z))) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 2 (/ (pow y 2) (pow z 2))) |
(+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) |
(- (* 2 (/ (pow y 2) (pow z 2))) 2) |
(- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2) |
(* (+ y z) (- y z)) |
(+ (* (+ y z) (- y z)) (pow x 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) (+ (* 1/2 (/ (+ (* -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 (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* 2 (/ (pow x 2) (pow z 2))) |
(* (pow x 2) (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (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 (- (/ 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) |
(/ (- x z) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ y (+ (* -1 (pow z 2)) (pow x 2))) |
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
z |
(+ y z) |
(* -1 z) |
(- y z) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y)) |
(/ (+ (* 1/4 (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2))) (* 1/2 (pow y 2))) y) |
(* 4 (/ y (pow z 2))) |
(- (* 2 (/ (pow x 2) (pow z 2))) 2) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(* 2 (/ y (pow z 2))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(* (pow y 2) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(* (pow y 2) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (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 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ 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))) |
(/ y (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ y (* -1 z)) |
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) |
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (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)))) |
(* (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 (- (/ x (* y z)) (/ 1 y))) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(* z (+ 1 (/ y z))) |
(* z (- (/ y z) 1)) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
-2 |
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 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 (* y z))) (/ 1 y)))) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) y) (+.f64 z y) (/.f64 (*.f64 x x) y)) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(*.f64 (-.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))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (fma.f64 x (/.f64 x y) 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)))))) |
(+.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) #s(literal 0 binary64)) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) |
y |
(+ y (/ (pow x 2) y)) |
(fma.f64 x (/.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) y) (+.f64 z y) (/.f64 (*.f64 x x) y)) #s(literal 1/2 binary64)) |
(/ y (* (+ y z) (- y z))) |
(/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y)) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(-.f64 (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y)) (/.f64 (*.f64 (*.f64 x x) y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (/.f64 y (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (/.f64 (neg.f64 y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) (*.f64 x x) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 y (pow.f64 (+.f64 z y) #s(literal 4 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (/.f64 (/.f64 y (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (neg.f64 y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) (*.f64 x x) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) y) y #s(literal -2 binary64)) (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64)) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) y) y #s(literal -2 binary64)) (/.f64 (*.f64 z z) y)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(* 2 (/ (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) y) y) |
(+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y z) (/.f64 y z))) #s(literal 2 binary64)) |
(- (* 2 (/ (pow y 2) (pow z 2))) 2) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) y) y #s(literal -2 binary64)) |
(- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2) |
(fma.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y z) (/.f64 y z))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(* (+ y z) (- y z)) |
(*.f64 (-.f64 y z) (+.f64 z y)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(fma.f64 (neg.f64 z) z (fma.f64 y 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 #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)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x (/.f64 #s(literal 0 binary64) x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (+.f64 (/.f64 #s(literal 0 binary64) 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 (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 z y) x)) (*.f64 x x)) |
(* (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 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 z (*.f64 x x)) (/.f64 z y))) (/.f64 (/.f64 z y) x)) (*.f64 x x)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) 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 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 y z) y) (/.f64 (/.f64 (+.f64 z y) x) x) (/.f64 #s(literal 1 binary64) y))) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 (/.f64 (+.f64 z y) x) (/.f64 (-.f64 y z) x)) y) (*.f64 x x)) |
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (+.f64 z y) x) (/.f64 (-.f64 y z) x))) y) (*.f64 x x)) |
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (neg.f64 y) (/.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) y) (fma.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) x) (/.f64 y x) (*.f64 (neg.f64 y) (/.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) y) y #s(literal -2 binary64)) (/.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* 2 (/ (pow x 2) (pow z 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) x) x) |
(* (pow x 2) (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 y z)) (/.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z y) x) (/.f64 (-.f64 y z) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (neg.f64 x)) x)) x) x) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) y)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) y)) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/.f64 (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) y)) |
(/ y (+ (* -1 (pow z 2)) (pow x 2))) |
(/.f64 y (*.f64 (-.f64 x z) (+.f64 z x))) |
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(+.f64 (/.f64 y (*.f64 (-.f64 x z) (+.f64 z x))) #s(literal 0 binary64)) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 y (pow.f64 (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (+.f64 z x))))) y #s(literal 0 binary64)) y (/.f64 y (*.f64 (-.f64 x z) (+.f64 z x)))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (+.f64 z x)))) (*.f64 (-.f64 x z) (+.f64 z x))) y (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (+.f64 z x)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) (+.f64 z x))))) y) y #s(literal 0 binary64)) y (/.f64 y (*.f64 (-.f64 x z) (+.f64 z x)))) |
z |
(+ y z) |
(+.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(- y z) |
(-.f64 y z) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) y)) |
(/ (+ (* 1/4 (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2))) (* 1/2 (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64))) (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) y) |
(* 4 (/ y (pow z 2))) |
(*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)) |
(- (* 2 (/ (pow x 2) (pow z 2))) 2) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* 2 (/ y (pow z 2))) |
(*.f64 (/.f64 y (*.f64 z z)) #s(literal 2 binary64)) |
(* 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 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)))) y) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(* y (+ 1 (* -1 (/ z y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) y) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) y) #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 #s(literal 2 binary64) (*.f64 z z))) (*.f64 y y)) |
(* (pow y 2) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) y) y)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) |
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) (/.f64 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 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) #s(literal 0 binary64))) y) #s(literal 1/2 binary64))) |
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y)) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))))) (*.f64 y y)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 z z)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) y) y) #s(literal -1/2 binary64))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y y))) (*.f64 y y)) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(/ y (+ (pow x 2) (pow y 2))) |
(/.f64 y (fma.f64 y y (*.f64 x x))) |
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(-.f64 (/.f64 y (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(fma.f64 (fma.f64 z (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 y y (*.f64 x x)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 y y (*.f64 x x)))) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) |
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2))) |
(fma.f64 y y (*.f64 x x)) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(* -1/2 (/ (pow z 2) 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 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 x (/.f64 x y) 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 x (/.f64 x y) y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z z) (neg.f64 y)) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z z) (neg.f64 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 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (/ y (pow z 2))) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 y z) y)) (*.f64 z z)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 y z) y)) (*.f64 z z)) |
(* z (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) z z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (fma.f64 y y (*.f64 x x)) y) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 z z)) #s(literal -2 binary64)) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y z) (/.f64 y z)))) #s(literal 1 binary64)) (*.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 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(/.f64 (*.f64 z z) (neg.f64 y)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal -1 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) z)) (neg.f64 z)) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 y z) #s(literal 0 binary64)) z) y)) (*.f64 z z)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/.f64 (-.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (neg.f64 z) z)) #s(literal 0 binary64))) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 z) z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1)) |
(*.f64 (neg.f64 z) z) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)) z) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 249 |
| 0 | 66 | 232 |
| 1 | 298 | 230 |
| 2 | 2819 | 230 |
| 0 | 9048 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(/.f64 (-.f64 x z) y) |
#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 (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) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))) |
(+.f64 y z) |
(-.f64 y z) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (fma.f64 y y (*.f64 x x)) y) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))) |
(+.f64 (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -1 binary64)) y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(fma.f64 (/.f64 (-.f64 x z) y) z (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) y) |
(fma.f64 z (/.f64 (-.f64 x z) y) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))) |
(+.f64 (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) z)) (*.f64 (/.f64 (-.f64 x z) y) x)) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) z) (fma.f64 (/.f64 (-.f64 x z) y) x y)) |
(+.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y) |
(+.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 z y))) (neg.f64 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 z y)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y z)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y x)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) z)) (*.f64 (neg.f64 (/.f64 y x)) y)) |
(/.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 z))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) z) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (neg.f64 (+.f64 z x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 y (+.f64 z x)))) |
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(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (*.f64 (+.f64 z x) y)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 y (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 y (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 y (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 x x (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 x x (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 y (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 y (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (neg.f64 y)) |
(/.f64 (fma.f64 x x (*.f64 y y)) y) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) y)) |
(neg.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 y z) z)) |
(*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (/.f64 z y)) #s(literal -1 binary64))) |
(*.f64 y (/.f64 #s(literal 2 binary64) (*.f64 z z))) |
(*.f64 y (pow.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 y z))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 (*.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal -2 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))) (neg.f64 (/.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) (*.f64 z #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) z)) (neg.f64 (/.f64 z y))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 y z)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 y z) #s(literal -2 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (*.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 z z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y)))) |
(/.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y))) |
(/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 z y) z))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 z (/.f64 z y)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z y) (neg.f64 z))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) (/.f64 z y))) |
(/.f64 (/.f64 y z) (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 z y)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 z z)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 z y) (neg.f64 z)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z y)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z (/.f64 z y))) |
Compiled 38 108 to 4 357 computations (88.6% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 076 | 9 | 1 085 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 083 | 15 | 1 098 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| 30.8% | (/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))) | |
| 36.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) | |
| ✓ | 67.0% | #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 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
| ▶ | 63.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
| 36.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| 59.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| ▶ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
| 70.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) | |
| 33.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) | |
| 85.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 31.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 30.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
| ▶ | 58.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
Compiled 805 to 530 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (+.f64 (*.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 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 x y) x) y) | |
| 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 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 360 |
| 0 | 74 | 357 |
| 1 | 137 | 354 |
| 2 | 300 | 349 |
| 3 | 748 | 349 |
| 4 | 2122 | 333 |
| 5 | 5033 | 328 |
| 6 | 7987 | 328 |
| 0 | 8497 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
#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 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(+.f64 z x) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
(/.f64 (-.f64 x z) y) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
#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 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 x y) x) y) |
(fma.f64 (/.f64 x y) x y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(+.f64 z x) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.002817994857033 | (/.f64 (/.f64 (*.f64 x x) y) y) | |
| accuracy | 4.728002885282173 | (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) | |
| accuracy | 6.725036719679071 | (/.f64 (*.f64 x x) y) | |
| accuracy | 21.10223656679959 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0546875 | (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) | |
| accuracy | 31.384917041492304 | #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) | |
| accuracy | 0 | (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 21.10223656679959 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) | |
| accuracy | 6.636432284723919 | (/.f64 (*.f64 z z) y) | |
| accuracy | 42.29351084645357 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) | |
| accuracy | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 y (-.f64 x z)) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) | |
| accuracy | 0.7113829921538525 | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
| 72.0ms | 256× | 0 | valid |
Compiled 626 to 90 computations (85.6% saved)
ival-mult: 18.0ms (42.5% of total)ival-div: 13.0ms (30.7% of total)ival-add: 6.0ms (14.2% of total)ival-sub: 2.0ms (4.7% of total)ival-neg: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
#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) |
(+.f64 (*.f64 (/.f64 x y) x) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y (-.f64 x z)) |
(neg.f64 z) |
(/.f64 (*.f64 x x) y) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
| Outputs |
|---|
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ 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)))))) |
y |
(+ y (/ (pow x 2) y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(/ (pow x 2) y) |
1/2 |
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2)))) |
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))))) |
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 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) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2))))) |
(/ y x) |
(/ (+ y (/ (* y z) x)) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x) |
(* -1 (* x (- (/ 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 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x)) |
(/ (- x z) 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) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2)) |
(/ y (- x z)) |
(* 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)))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (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 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (pow x 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))) |
(* 1/2 (+ 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 z 2) |
(+ (/ y x) (/ (* y z) (pow x 2))) |
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x)) |
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x)) |
(* -1 z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* -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))) |
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z) |
(* -1 (* z (+ (* -1 (/ 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 (/ (+ y (/ (* x y) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y)) |
| 4.0ms | y | @ | -inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y)) |
| 3.0ms | y | @ | 0 | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y)) |
| 3.0ms | x | @ | inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 1318 |
| 1 | 1120 | 1250 |
| 2 | 3665 | 1127 |
| 0 | 8565 | 1063 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ 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)))))) |
y |
(+ y (/ (pow x 2) y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(/ (pow x 2) y) |
1/2 |
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2)))) |
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))))) |
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 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) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2))))) |
(/ y x) |
(/ (+ y (/ (* y z) x)) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x) |
(* -1 (* x (- (/ 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 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x)) |
(/ (- x z) 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) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2)) |
(/ y (- x z)) |
(* 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)))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1/2 (* 1/2 (/ (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 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (pow x 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))) |
(* 1/2 (+ 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 z 2) |
(+ (/ y x) (/ (* y z) (pow x 2))) |
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x)) |
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x)) |
(* -1 z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* -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))) |
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z) |
(* -1 (* z (+ (* -1 (/ 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 (/ (+ y (/ (* x y) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z)) |
| Outputs |
|---|
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (-.f64 y (*.f64 z (/.f64 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)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 (-.f64 y (*.f64 z (/.f64 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 z (/.f64 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 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(+ y (* -1 (/ (pow z 2) y))) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
y |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2)))) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))) x (/.f64 (neg.f64 y) z)) |
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2))))) |
(fma.f64 (-.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (/.f64 y z) z)) x (/.f64 (neg.f64 y) z)) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 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 y) x) #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 z (/.f64 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 y) x) |
(* (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 z (/.f64 z y))) x) x) x (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x (/.f64 x y))) |
(* (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) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (/ (* y z) x)) x) |
(/.f64 (fma.f64 z (/.f64 y x) y) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 z x) z) y) x) |
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) y (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 z x) z) y)) x) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 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 z (/.f64 z y))) x) x) x (/.f64 x y))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x)) |
(/.f64 (fma.f64 z (/.f64 y x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 z (/.f64 z x) z)) x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 z y (/.f64 (*.f64 y (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) x)) x) y) x) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(/ (pow z 2) y) |
(*.f64 z (/.f64 z y)) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/.f64 (fma.f64 x x (*.f64 y y)) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) y) #s(literal 1/2 binary64)) |
(/ y (- x z)) |
(/.f64 y (-.f64 x z)) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 x y) x y) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))) y)) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x y))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(* 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 z x) (/.f64 (-.f64 x z) y) 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 z x) (/.f64 (-.f64 x z) y) y) |
(pow z 2) |
(*.f64 z z) |
(+ (/ y x) (/ (* y z) (pow x 2))) |
(*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 y x)) |
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x)) |
(fma.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 y (*.f64 x x))) z (/.f64 y x)) |
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 y (*.f64 x x))) z (/.f64 y x)) |
(* -1 z) |
(neg.f64 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 (/ (+ 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 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 (/.f64 y z) z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z) |
(/.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) y))) z) |
(* -1 (* z (+ (* -1 (/ 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 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64)) z)) (*.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 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x y)) z) z)) (*.f64 z z)) |
(* -1 (/ (+ y (/ (* x y) z)) z)) |
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z)) |
(/.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) y) (neg.f64 z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x y)) z))) z) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 323 |
| 0 | 74 | 315 |
| 1 | 279 | 315 |
| 2 | 2180 | 305 |
| 0 | 8598 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
#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) |
(+.f64 (*.f64 (/.f64 x y) x) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) |
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 y (-.f64 x z)) |
(neg.f64 z) |
(/.f64 (*.f64 x x) y) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (+.f64 z x)) (/.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (+.f64 z x))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (-.f64 x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (+.f64 z x)) (/.f64 (-.f64 x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) (/.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (-.f64 x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (+.f64 z x)) (/.f64 (-.f64 x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (+.f64 z x))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x z)) |
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (+.f64 z x) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (+.f64 z x) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 z x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) (/.f64 (+.f64 z x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x z) (+.f64 z x)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) (+.f64 z x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 (+.f64 z x) (-.f64 z x)))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) (pow.f64 (+.f64 z x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) (+.f64 z x)) |
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.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 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x z))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) x z)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1 binary64) x z))) |
(*.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 (pow.f64 (-.f64 x z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 y (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (/.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (-.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
(pow.f64 (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x z) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 x z)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x z)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 #s(literal -1 binary64) x z))) |
(/.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x z)))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x z))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 y (-.f64 x z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) x z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x z))) (/.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x z)) (/.f64 y (fma.f64 #s(literal -1 binary64) x z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 x y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(*.f64 x (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 x x)) y)) #s(literal -1 binary64))) |
Compiled 31 453 to 3 801 computations (87.9% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 795 | 5 | 800 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 800 | 15 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| ▶ | 36.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
| 30.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))) | |
| ✓ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 63.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| ▶ | 36.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 63.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) | |
| 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64))) | |
| ✓ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
| 38.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| ▶ | 70.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
| ▶ | 33.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
| ▶ | 85.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
| ✓ | 31.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 30.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 727 to 483 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) | |
| 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 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) | |
| cost-diff | 128 | (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 351 |
| 0 | 70 | 351 |
| 1 | 147 | 351 |
| 2 | 368 | 347 |
| 3 | 1374 | 347 |
| 4 | 6717 | 347 |
| 0 | 8116 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
(neg.f64 y) |
y |
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) |
(neg.f64 (+.f64 z x)) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) (*.f64 y y)) |
(-.f64 x z) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z y)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
z |
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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(*.f64 (+.f64 z x) #s(literal 1/2 binary64)) |
(+.f64 z x) |
z |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
#s(literal 1/2 binary64) |
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y)))) |
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y))) |
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y)) |
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y) |
(neg.f64 y) |
y |
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 z x) y) (/.f64 (+.f64 z x) y) #s(literal -1 binary64)) |
(neg.f64 (+.f64 z x)) |
(+.f64 z x) |
z |
x |
(/.f64 (-.f64 x z) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 x z) y) y) |
(-.f64 x z) |
(*.f64 y y) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
z |
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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z))) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z)) |
(*.f64 (+.f64 z x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
y |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
#s(literal 1/2 binary64) |
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) | |
| accuracy | 7.025021350303681 | (/.f64 y (*.f64 x x)) | |
| accuracy | 36.92465194494681 | #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) | |
| accuracy | 0 | (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) | |
| accuracy | 18.655102983954894 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| accuracy | 6.725036719679071 | (/.f64 (*.f64 x x) y) | |
| accuracy | 39.449741428633594 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) | |
| accuracy | 42.29351084645357 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) | |
| accuracy | 0 | #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) | |
| accuracy | 0.7426195643285124 | (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) | |
| accuracy | 3.5446590184653672 | (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) | |
| accuracy | 6.973101467336462 | (/.f64 (-.f64 x z) (*.f64 y y)) |
| 65.0ms | 256× | 0 | valid |
Compiled 601 to 92 computations (84.7% saved)
ival-mult: 22.0ms (47.4% of total)ival-div: 12.0ms (25.8% of total)ival-add: 7.0ms (15.1% of total)ival-sub: 3.0ms (6.5% of total)ival-neg: 2.0ms (4.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z y)) |
(/.f64 z 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(*.f64 (+.f64 z x) #s(literal 1/2 binary64)) |
(+.f64 z x) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(/.f64 (-.f64 x z) (*.f64 y y)) |
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y)))) |
(- (/ (pow z 2) (pow y 2)) 1) |
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(pow x 2) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* 1/2 z) |
(+ (* 1/2 x) (* 1/2 z)) |
z |
(+ x z) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(/ y (* (+ y z) (- y z))) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(/ y (pow x 2)) |
(* -1 (/ z (pow y 2))) |
(+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x))) |
(* (pow x 2) (+ (* -1 (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) (pow x 2))) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (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) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ z x)))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ x (pow y 2)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) |
(* (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 y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) x)) x)) (/ 1 y))) |
(* (pow x 2) (- (+ (* -1 (/ z (* x (pow y 2)))) (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (- (/ (pow z 2) (pow y 2)) 1) x))) x)) (/ 1 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (- (* -1/2 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* -1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(/ (+ (* -1 (* (+ x z) (- x z))) (* -1 (pow y 2))) (pow y 2)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ z y)) |
(/ z y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ y (+ (* -1 (pow z 2)) (pow x 2))) |
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(/ (- x z) (pow y 2)) |
(/ (- x z) y) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
-1 |
(- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1) |
(* 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 (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) |
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* z (+ (* -1 (/ z y)) (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))) |
(- (* -1 (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* -1 (/ (pow x 2) (pow y 2)))) 1) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* z (+ (* -1 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ z (pow y 2))))) 1) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(/ y (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ 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 (/ (pow z 2) y)) |
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y))) |
(/ (pow z 2) (pow y 2)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (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) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* z (+ 1/2 (* 1/2 (/ x z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) |
(* (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 (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1/2))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) |
(* (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 (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z 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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y)) |
| 4.0ms | y | @ | 0 | ((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z 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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y)) |
| 4.0ms | y | @ | inf | ((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z 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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y)) |
| 4.0ms | z | @ | inf | ((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z 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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y)) |
| 4.0ms | z | @ | -inf | ((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z 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)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 672 | 3198 |
| 1 | 2285 | 2413 |
| 0 | 9553 | 2291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y)))) |
(- (/ (pow z 2) (pow y 2)) 1) |
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(pow x 2) |
(* -1/2 (/ (pow z 2) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(* 1/2 z) |
(+ (* 1/2 x) (* 1/2 z)) |
z |
(+ x z) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(/ y (* (+ y z) (- y z))) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(/ y (pow x 2)) |
(* -1 (/ z (pow y 2))) |
(+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x))) |
(* (pow x 2) (+ (* -1 (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) (pow x 2))) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (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) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ z x)))) |
x |
(* x (+ 1 (/ z x))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2)) |
(/ x (pow y 2)) |
(* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) |
(* (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 y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) x)) x)) (/ 1 y))) |
(* (pow x 2) (- (+ (* -1 (/ z (* x (pow y 2)))) (/ z (* x (pow y 2)))) (/ 1 (pow y 2)))) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (- (/ (pow z 2) (pow y 2)) 1) x))) x)) (/ 1 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (- (* -1/2 (/ z x)) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(* -1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(/ (+ (* -1 (* (+ x z) (- x z))) (* -1 (pow y 2))) (pow y 2)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ z y)) |
(/ z y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ y (+ (* -1 (pow z 2)) (pow x 2))) |
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2))))) |
(/ (- x z) (pow y 2)) |
(/ (- x z) y) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
-1 |
(- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1) |
(* 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 (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(/ 1 y) |
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y)) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) |
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* z (+ (* -1 (/ z y)) (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))) |
(- (* -1 (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* -1 (/ (pow x 2) (pow y 2)))) 1) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* z (+ (* -1 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ z (pow y 2))))) 1) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(/ y (+ (pow x 2) (pow y 2))) |
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(+ 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 (/ (pow z 2) y)) |
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y))) |
(/ (pow z 2) (pow y 2)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (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) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(* z (+ 1/2 (* 1/2 (/ x z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (/ y (pow z 2))) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) |
(* (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 (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1/2))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) |
(* (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 (* y z))) (/ 1 y)))) |
| Outputs |
|---|
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) |
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y)))) |
(fma.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(- (/ (pow z 2) (pow y 2)) 1) |
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) |
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) |
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1) |
(fma.f64 (/.f64 z y) (/.f64 z y) (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x (*.f64 (-.f64 y z) (/.f64 (+.f64 z y) y)))) |
(* 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))))) |
(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(pow x 2) |
(*.f64 x x) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(+ (* 1/2 x) (* 1/2 z)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x z)) |
z |
(+ x z) |
(+.f64 x z) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x (*.f64 (-.f64 y z) (/.f64 (+.f64 z y) y)))) |
(/ y (* (+ y z) (- y z))) |
(/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y)) |
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z)))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 y (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))) |
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (/.f64 y (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (/.f64 (neg.f64 y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) (*.f64 x x) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))) |
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 y (pow.f64 (+.f64 z y) #s(literal 4 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (/.f64 (/.f64 y (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (neg.f64 y) (*.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) (*.f64 x x) (/.f64 (/.f64 y (-.f64 y z)) (+.f64 z y))) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(* -1 (/ z (pow y 2))) |
(/.f64 (neg.f64 z) (*.f64 y y)) |
(+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))) |
(/.f64 (/.f64 (-.f64 x z) y) y) |
(+ 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)))))) |
(+.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) #s(literal 0 binary64)) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* (pow x 2) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x))) |
(fma.f64 (/.f64 x y) x #s(literal 0 binary64)) |
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(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2)))) |
(-.f64 (/.f64 y (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(fma.f64 (fma.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 x x (*.f64 y y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 x x (*.f64 y y)))) |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) |
(/ (pow z 2) (pow y 2)) |
(*.f64 (/.f64 z y) (/.f64 z y)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2)))) |
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 0 binary64)) |
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (pow z 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) z)) (*.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) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* z (+ 1/2 (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* -1 (/ y (pow z 2))) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) z) y)) (*.f64 z z)) |
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 y z) (/.f64 (fma.f64 x x (*.f64 y y)) z))) (*.f64 z z)) |
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) 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 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) y)) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) (/.f64 y z) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) #s(literal -1 binary64) #s(literal 0 binary64)) z)) 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 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (* z (- (* -1/2 (/ x z)) 1/2))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2)) |
(/.f64 (/.f64 (neg.f64 y) z) z) |
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 y z) #s(literal 0 binary64)) (neg.f64 z)) y) (*.f64 z z)) |
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2)) |
(/.f64 (-.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) y)) z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 (/.f64 x y) y) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x z) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 312 |
| 0 | 70 | 312 |
| 1 | 282 | 312 |
| 2 | 2340 | 312 |
| 0 | 8372 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z y)) |
(/.f64 z 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 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(*.f64 (+.f64 z x) #s(literal 1/2 binary64)) |
(+.f64 z x) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(/.f64 (-.f64 x z) (*.f64 y y)) |
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) #s(literal -1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) y)) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64))) |
(*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 y))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z))) (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z))) (neg.f64 y)) (*.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z))) (neg.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z))) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z))) (neg.f64 y)) (*.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
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(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 z y))) (/.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (+.f64 (/.f64 x y) (/.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) (/.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(-.f64 (/.f64 (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 y z))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 z y) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 x z))) (/.f64 (*.f64 z z) (*.f64 y (+.f64 x z)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x z) (neg.f64 y))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64))) |
(+.f64 (/.f64 x y) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 x y) (neg.f64 (/.f64 z y))) |
Compiled 31 223 to 3 704 computations (88.1% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 752 | 2 | 754 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 754 | 15 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| 52.8% | (/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| ✓ | 36.6% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
| 30.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))) | |
| ✓ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ✓ | 36.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 33.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z)) | |
| 63.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) | |
| 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64))) | |
| ✓ | 67.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
| 38.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| ✓ | 70.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
| ✓ | 33.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
| 57.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) #s(approx (/ (- x z) (* y y)) (/.f64 (neg.f64 z) (*.f64 y y))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) | |
| ✓ | 31.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 30.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 1 266 to 461 computations (63.6% saved)
| Inputs |
|---|
#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) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
#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 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.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 z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) #s(approx (/ (- x z) (* y y)) (/.f64 (neg.f64 z) (*.f64 y y))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.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))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (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))))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
6 calls:
| 23.0ms | z |
| 11.0ms | (*.f64 x x) |
| 9.0ms | x |
| 9.0ms | y |
| 8.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#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) (/.f64 z y)) z)) |
#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 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.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 z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z)))) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
6 calls:
| 6.0ms | x |
| 6.0ms | (*.f64 z z) |
| 5.0ms | y |
| 5.0ms | z |
| 4.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | x |
| 88.6% | 2 | y |
| 90.7% | 2 | z |
| 99.4% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 87.5% | 2 | (*.f64 x x) |
| 90.7% | 2 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#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) (/.f64 z y)) z)) |
#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 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.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 z) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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))) |
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 |
|---|---|---|
| 94.4% | 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)) |
#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) (/.f64 z y)) z)) |
#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 (+.f64 (*.f64 (/.f64 x y) 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) (/.f64 z y)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
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)) |
#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) (/.f64 z y)) z)) |
#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) (/.f64 z y)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
6 calls:
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 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 |
|---|---|---|
| 61.9% | 3 | x |
| 59.3% | 3 | (*.f64 x x) |
| 58.5% | 4 | y |
| 64.6% | 5 | z |
| 62.0% | 4 | (*.f64 z z) |
| 73.9% | 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)) |
#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) (/.f64 z y)) z)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 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)) |
#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)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
4 calls:
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 1.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 2 | (*.f64 z z) |
| 51.0% | 2 | z |
| 37.1% | 3 | x |
| 60.0% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 20 to 21 computations (-5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
6 calls:
| 1.0ms | x |
| 1.0ms | y |
| 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 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.1% | 1 | x |
| 31.1% | 1 | z |
| 31.1% | 1 | (*.f64 z z) |
| 31.1% | 1 | y |
| 31.1% | 1 | (*.f64 x x) |
| 31.1% | 1 | (/.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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8596086473504563e+151 | 3.2915807833774693e+152 |
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -3.7915810945249585e-150 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 594 |
| 1 | 90 | 594 |
| 2 | 107 | 594 |
| 3 | 118 | 594 |
| 4 | 125 | 594 |
| 5 | 128 | 594 |
| 6 | 129 | 594 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z 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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 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 +inf.0 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 #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)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #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 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 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 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 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 (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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 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 #s(literal -1/2 binary64) (/.f64 z y)) z)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 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 +inf.0 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 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 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 z z) y) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 249 |
| 0 | 66 | 232 |
| 1 | 298 | 230 |
| 2 | 2819 | 230 |
| 0 | 9048 | 229 |
| 0 | 71 | 283 |
| 1 | 196 | 283 |
| 2 | 567 | 257 |
| 3 | 2178 | 253 |
| 4 | 6027 | 249 |
| 0 | 8163 | 231 |
| 0 | 636 | 2956 |
| 1 | 2145 | 2434 |
| 0 | 8592 | 2311 |
| 0 | 353 | 1318 |
| 1 | 1120 | 1250 |
| 2 | 3665 | 1127 |
| 0 | 8565 | 1063 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 754 to 209 computations (72.3% saved)
(negabs y)
(abs x)
(abs z)
Compiled 1 584 to 392 computations (75.3% saved)
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