
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 620.0ms | 8 256× | 0 | valid |
ival-mult: 255.0ms (62.6% of total)ival-div: 58.0ms (14.2% of total)ival-sub: 40.0ms (9.8% of total)ival-add: 39.0ms (9.6% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 24 | 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 | 64 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 165 | |
| ↳ | (*.f64 y y) | overflow | 60 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 117 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 24 | 0 |
| ↳ | (*.f64 y y) | overflow | 60 | |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 117 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | u/n | 3 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | underflow | 3 | |
| ↳ | (*.f64 y y) | underflow | 62 | |
| ↳ | (*.f64 x x) | underflow | 57 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 17 | |
| ↳ | (*.f64 z z) | underflow | 48 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 84 | 0 |
| - | 0 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 84 | 0 | 0 |
| - | 0 | 0 | 172 |
| number | freq |
|---|---|
| 0 | 172 |
| 1 | 77 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-mult: 13.0ms (60% of total)ival-div: 4.0ms (18.5% of total)ival-sub: 2.0ms (9.2% of total)ival-add: 2.0ms (9.2% of total)ival-true: 1.0ms (4.6% 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 | 2201 | 135 |
| 4 | 6856 | 117 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 32 | 15 |
| 2 | 69 | 15 |
| 3 | 136 | 15 |
| 4 | 295 | 15 |
| 5 | 630 | 15 |
| 6 | 1515 | 13 |
| 7 | 3498 | 13 |
| 8 | 7949 | 13 |
| 0 | 8123 | 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 |
|---|---|---|
| ▶ | 68.7% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 18 | 49 |
| 1 | 32 | 49 |
| 2 | 69 | 49 |
| 3 | 136 | 49 |
| 4 | 295 | 49 |
| 5 | 630 | 49 |
| 6 | 1515 | 47 |
| 7 | 3498 | 47 |
| 8 | 7949 | 47 |
| 0 | 8123 | 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 | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 5.492158601622882 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| accuracy | 15.64468727237684 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 20.0ms | 256× | 0 | valid |
Compiled 51 to 13 computations (74.5% saved)
ival-mult: 6.0ms (52.6% of total)ival-sub: 2.0ms (17.5% of total)ival-div: 2.0ms (17.5% of total)ival-add: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(*.f64 x x) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(- (pow x 2) (pow z 2)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | x | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1.0ms | z | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* z z)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 283 |
| 1 | 196 | 283 |
| 2 | 571 | 257 |
| 3 | 2181 | 253 |
| 4 | 6056 | 249 |
| 0 | 8348 | 231 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(- (pow x 2) (pow z 2)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(- (pow y 2) (pow z 2)) |
(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 x 2) |
(*.f64 x x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (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))) |
(* 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 x 2) (pow z 2)) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* (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))) |
(* -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)) |
(* 1/2 (/ (+ (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)) (+ (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 #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))) |
(* -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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 0 | 18 | 36 |
| 1 | 68 | 36 |
| 2 | 569 | 36 |
| 0 | 8351 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.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 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (-.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 (*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (-.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 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.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 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (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 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) y)) |
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(neg.f64 (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 (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)) (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))))) (neg.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)))))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 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))))) (neg.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)))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.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 (neg.f64 z) z)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 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))))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (/.f64 (pow.f64 (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)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y)) (+.f64 x y) (*.f64 (neg.f64 z) z)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (+.f64 y z) (-.f64 y z))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (+.f64 x z) (-.f64 x z))) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z z))) (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 z) z)) |
(fma.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 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (*.f64 x x)) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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))))) (*.f64 (neg.f64 z) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 z) z)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))))) |
(fma.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (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)) (neg.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)))))) |
(fma.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))) (*.f64 (fma.f64 y y (*.f64 x x)) (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 (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 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 z) z)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (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 (neg.f64 z) z)) |
(fma.f64 z (neg.f64 z) (fma.f64 y y (*.f64 x x))) |
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))) (*.f64 (neg.f64 z) z)) |
(fma.f64 y y (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(fma.f64 y y (*.f64 (+.f64 x z) (-.f64 x z))) |
(fma.f64 x x (*.f64 (+.f64 y z) (-.f64 y z))) |
(-.f64 (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(-.f64 (+.f64 (fma.f64 y y (*.f64 x x)) #s(literal 0 binary64)) (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 z) z))) |
(-.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 (pow.f64 z #s(literal 4 binary64)) (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)) (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)) (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 0 binary64) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (*.f64 y y) (-.f64 (*.f64 z z) (*.f64 x x))) |
(+.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 x x)) |
(+.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (*.f64 y y)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)))) |
(+.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)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (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)) (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)))) (neg.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 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 z) z) (fma.f64 y y (*.f64 x x))) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 x x))) |
(+.f64 (*.f64 y y) (*.f64 (+.f64 x z) (-.f64 x z))) |
(+.f64 (*.f64 x x) (*.f64 (+.f64 y z) (-.f64 y z))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 17 531 to 1 625 computations (90.7% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 8 | 538 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 8 | 539 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.5% | (/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
| 71.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))) | |
| ▶ | 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))) |
| 61.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| ▶ | 28.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| ▶ | 68.7% | #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))) |
| ▶ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| 36.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 376 to 244 computations (35.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| cost-diff | 2 | (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 12 | (/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| 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 #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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 290 |
| 0 | 57 | 286 |
| 1 | 126 | 286 |
| 2 | 402 | 274 |
| 3 | 1855 | 266 |
| 4 | 7949 | 266 |
| 0 | 8370 | 266 |
| 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 (/.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 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(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) y) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.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 (/.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 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(/.f64 (fma.f64 (-.f64 y z) (+.f64 z y) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)) |
(-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 y z) z) (fma.f64 x x (*.f64 y y)) (neg.f64 y))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) (*.f64 (/.f64 y z) #s(literal 2 binary64))) |
(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) y) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (*.f64 (/.f64 (/.f64 y z) z) y) #s(literal 4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) | |
| accuracy | 3.476623996541262 | (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| accuracy | 11.420816229736596 | (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) | |
| accuracy | 21.282514282098187 | (/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| accuracy | 0.0 | (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) | |
| accuracy | 20.00224695655443 | #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 | 0.0 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 7.071706783097141 | (/.f64 (*.f64 x x) y) | |
| accuracy | 44.42402993703926 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 43.117620211112865 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | #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 | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.04296875 | (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
| 73.0ms | 256× | 0 | valid |
Compiled 261 to 34 computations (87% saved)
ival-add: 23.0ms (40.8% of total)ival-mult: 19.0ms (33.7% of total)ival-div: 11.0ms (19.5% of total)ival-sub: 3.0ms (5.3% 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 (/.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 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.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 (/ (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) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) (* 1/2 (/ (pow x 2) y))) |
(- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y)) |
(- (+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))) (* 2 y)) |
(* 2 (/ (pow y 3) (pow z 2))) |
(+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 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 (/ 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) (+ (* -1/2 (/ (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) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (* (pow x 2) (pow y 2)))) (* 1/2 (/ 1 y)))) |
(* 2 (/ (* (pow x 2) y) (pow z 2))) |
(* (pow x 2) (- (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 2))))) (* 2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 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)))) |
(* (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))) |
(* 1/2 (/ (- (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 y) |
(* 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) |
(* y (- (* 2 (/ (pow x 2) (pow z 2))) 2)) |
(* y (- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2)) |
(* 4 (/ (pow y 2) (pow z 2))) |
(* y (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 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 |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(* (pow y 3) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 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 (- (* 1/4 (/ (* (pow z 2) (+ 2 (* -2 (/ (pow x 2) (pow z 2))))) (pow y 2))) 1/2))) |
(* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow y 2)))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow y 3) (- (* -2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 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 (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(+ (* 1/2 (* 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)))))) |
(* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) |
(/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2))))) (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)))) |
(* -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))) |
(* (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))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* -2 y) |
(- (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (* 2 y)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | 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 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) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* (/ 2 z) (/ y z))) |
| 11.0ms | 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 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) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* (/ 2 z) (/ y z))) |
| 10.0ms | z | @ | 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 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) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* (/ 2 z) (/ y z))) |
| 8.0ms | 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 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) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* (/ 2 z) (/ y z))) |
| 5.0ms | 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 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) (/ (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z)))) (- (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* 2 y)) (* (* 2 y) (* (/ 2 z) (/ y z))) (* (+ (* y y) (* x x)) (* (/ 2 z) (/ y z))) (* (/ 2 z) (/ y z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 1620 |
| 1 | 1147 | 1519 |
| 2 | 4070 | 1392 |
| 0 | 8724 | 1327 |
| 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 (/ (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) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) (* 1/2 (/ (pow x 2) y))) |
(- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y)) |
(- (+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))) (* 2 y)) |
(* 2 (/ (pow y 3) (pow z 2))) |
(+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 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 (/ 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) (+ (* -1/2 (/ (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) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (* (pow x 2) (pow y 2)))) (* 1/2 (/ 1 y)))) |
(* 2 (/ (* (pow x 2) y) (pow z 2))) |
(* (pow x 2) (- (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 2))))) (* 2 (/ y (pow x 2))))) |
(* (pow x 2) (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 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)))) |
(* (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))) |
(* 1/2 (/ (- (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 y) |
(* 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) |
(* y (- (* 2 (/ (pow x 2) (pow z 2))) 2)) |
(* y (- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2)) |
(* 4 (/ (pow y 2) (pow z 2))) |
(* y (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 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 |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(* (pow y 3) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 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 (- (* 1/4 (/ (* (pow z 2) (+ 2 (* -2 (/ (pow x 2) (pow z 2))))) (pow y 2))) 1/2))) |
(* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow y 2)))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow y 3) (- (* -2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 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 (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(+ (* 1/2 (* 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)))))) |
(* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) |
(/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2))))) (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)))) |
(* -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))) |
(* (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))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* -2 y) |
(- (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (* 2 y)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 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))) |
| Outputs |
|---|
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64)) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z 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)))))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(pow x 2) |
(*.f64 x x) |
(* -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))))) |
(*.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(+ (* 1/2 x) (* 1/2 z)) |
(*.f64 (+.f64 z x) #s(literal 1/2 binary64)) |
z |
(+ x z) |
(+.f64 z x) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) y) y))) |
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (pow y 2))) (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) y) y)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y)) |
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) y) #s(literal 2 binary64)) |
(- (+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) (fma.f64 y y (*.f64 x x)) (neg.f64 y))) |
(* 2 (/ (pow y 3) (pow z 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) |
(+ (* 2 (/ (* (pow x 2) y) (pow z 2))) (* 2 (/ (pow y 3) (pow z 2)))) |
(*.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) x (/.f64 x y))) |
(/ x 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) |
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 z z) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (/ z x)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) x x)) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 3) (pow z 2))) (* 2 y))) (* (pow x 2) (pow y 2)))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) y) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* 2 (/ (* (pow x 2) y) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (- (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 2))))) (* 2 (/ y (pow x 2))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z) y) (*.f64 x x)) (/.f64 y (*.f64 z z)))) (*.f64 x x)) |
(* (pow x 2) (+ (* 2 (/ y (pow z 2))) (* 2 (/ (pow y 3) (* (pow x 2) (pow z 2)))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 y (*.f64 z z)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) x (/.f64 x y))) |
(* -1 (* x (- (/ 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 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 z (/.f64 (/.f64 z y) x)) #s(literal 1/2 binary64)) x)) x) x) |
(* -1 (* x (- (* -1/2 (/ z x)) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z x) x x)) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.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 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal -2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1/4 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) (*.f64 z z)) (fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal -2 binary64)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) y) |
(* y (- (* 2 (/ (pow x 2) (pow z 2))) 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal -1 binary64))) |
(* y (- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y (*.f64 z z)) (fma.f64 y y (*.f64 x x)) (neg.f64 y))) |
(* 4 (/ (pow y 2) (pow z 2))) |
(*.f64 #s(literal 4 binary64) (*.f64 y (/.f64 y (*.f64 z z)))) |
(* y (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 2 binary64)) (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 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
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 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal -2 binary64)) (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) y) |
(* (pow y 3) (- (+ (* 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 (fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal -2 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 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))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)))) |
(* -1 (* y (- (* 1/4 (/ (* (pow z 2) (+ 2 (* -2 (/ (pow x 2) (pow z 2))))) (pow y 2))) 1/2))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1/2 binary64))) |
(* -1 (* (pow y 3) (- (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow y 2)))) (* 2 (/ 1 (pow z 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 x x) z) #s(literal -2 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -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))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 y y (*.f64 x x)) 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 x z) (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64)) |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(fma.f64 (/.f64 x y) x y) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(*.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1/2 binary64)) |
(* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) z) (/.f64 (fma.f64 y y (*.f64 x x)) z)) |
(/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (+ (pow x 2) (pow y 2))))) (pow z 2)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 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)) |
(* -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 (*.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) |
(* (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 x) y) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* z (+ 1/2 (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) z z)) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z 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 y) |
(*.f64 #s(literal -2 binary64) y) |
(- (* 2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (* 2 y)) |
(*.f64 y (fma.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 2 binary64) #s(literal -2 binary64))) |
(* (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 (-.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 (fma.f64 (/.f64 x y) x y) (neg.f64 z)) z)) (*.f64 z 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 (/ (+ (* -1/2 (/ (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 x (/.f64 (/.f64 x y) z)) #s(literal -1/2 binary64)) z)) (*.f64 z z)) |
(* -1 (* z (- (* -1/2 (/ x z)) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x z) z z)) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) (/.f64 x z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 241 |
| 0 | 57 | 237 |
| 1 | 242 | 233 |
| 2 | 2285 | 233 |
| 0 | 8935 | 231 |
| 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 (/.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 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) |
(*.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 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y))))) |
(/.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 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #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 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y)) |
(fma.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z))) y) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) 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 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) 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))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 z (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 z (+.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 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 z z) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 z z) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 z z) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 z z) (+.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 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.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))) z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.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))) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x x (*.f64 y y)))) (neg.f64 (/.f64 z y))) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y))) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 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))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 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))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #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))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64)))) (+.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 (/.f64 #s(literal 2 binary64) z) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 z y)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x x (*.f64 y y))) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.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 (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 y z) #s(literal 2 binary64))) z) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x x (*.f64 y y))) y) z) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 z (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 z (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 z (+.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 #s(literal 2 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 z z) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 z z) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 z z) (+.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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 y z) #s(literal 2 binary64))) (*.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))) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) y)) (*.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))) (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x x (*.f64 y y))) (/.f64 z y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 y y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 y y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)) |
(*.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 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) (neg.f64 (*.f64 (neg.f64 z) 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 1 binary64) y) (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 z 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 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 z) 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 #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 #s(literal 2 binary64) y) (*.f64 z z)) |
(/.f64 (/.f64 y z) (*.f64 z #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 z y)) |
(/.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))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 z) z))) |
Compiled 33 736 to 3 158 computations (90.6% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 6 | 839 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 836 | 11 | 847 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
| 28.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) | |
| ▶ | 96.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
| ▶ | 61.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ▶ | 70.3% | #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))) |
| ✓ | 28.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| 30.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| ✓ | 68.7% | #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))) |
| 39.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) | |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 36.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 511 to 342 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) | |
| 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 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) | |
| cost-diff | 0 | (/.f64 (+.f64 z x) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 315 |
| 0 | 65 | 315 |
| 1 | 126 | 315 |
| 2 | 249 | 315 |
| 3 | 569 | 315 |
| 4 | 1628 | 315 |
| 5 | 5710 | 299 |
| 0 | 8134 | 292 |
| 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 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #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)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 z x)) |
#s(literal 1/2 binary64) |
(+.f64 z x) |
z |
x |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
#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 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) |
(/.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#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 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #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)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z x) y)) (-.f64 z x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z x) y)) (-.f64 z x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 z x)) |
#s(literal 1/2 binary64) |
(+.f64 z x) |
z |
x |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) | |
| accuracy | 0.00390625 | (/.f64 y (-.f64 x z)) | |
| accuracy | 0.078125 | (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) | |
| accuracy | 20.00224695655443 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | #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 | 0.04296875 | (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) | |
| accuracy | 28.211781548783797 | #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.0625 | (fma.f64 (/.f64 x y) x y) | |
| accuracy | 24.80916647828118 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) | |
| accuracy | 4.769205979444828 | (/.f64 (*.f64 z z) y) | |
| accuracy | 38.832310482105015 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 z x) y) | |
| accuracy | 0.11166000976844201 | (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) | |
| accuracy | 2.1076013163793985 | (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
| 84.0ms | 256× | 0 | valid |
Compiled 244 to 38 computations (84.4% saved)
ival-mult: 45.0ms (68.1% of total)ival-div: 12.0ms (18.2% of total)ival-add: 5.0ms (7.6% of total)ival-sub: 2.0ms (3% of total)ival-neg: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(/.f64 (+.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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #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)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 z x)) |
(+.f64 z x) |
(/.f64 (-.f64 x z) y) |
(neg.f64 z) |
(/.f64 y (-.f64 x z)) |
| Outputs |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ 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 (* -1 (/ (pow z 2) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(/ z y) |
(+ (/ x y) (/ z y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x 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 (/ (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 (/ 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))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 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 (/ (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))) |
(/ 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) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 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 (/ (+ (* -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)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/ (+ x z) y) |
(/ (pow z 2) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/ (- x z) y) |
(/ y (- x z)) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
1 |
(+ 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 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (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 x 2) (pow y 2))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(pow z 2) |
(* 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))) |
(+ (* 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)))))) |
(* -1 z) |
(+ (/ 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)) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* (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))) |
(* (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) (* -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) |
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(* (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))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* -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 (* z (+ (* -1 (/ x (* y z))) (/ 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 (/ (* 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 | |
|---|---|---|---|---|
| 82.0ms | x | @ | inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* 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 (+ z x)) (/ y (- x z))) (* 1/2 (+ z x)) (+ z x) (/ (- x z) y) (neg z) (/ y (- x z))) |
| 32.0ms | z | @ | inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* 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 (+ z x)) (/ y (- x z))) (* 1/2 (+ z x)) (+ z x) (/ (- x z) y) (neg z) (/ y (- x z))) |
| 5.0ms | y | @ | -inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* 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 (+ z x)) (/ y (- x z))) (* 1/2 (+ z x)) (+ z x) (/ (- x z) y) (neg z) (/ y (- x z))) |
| 4.0ms | y | @ | 0 | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* 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 (+ z x)) (/ y (- x z))) (* 1/2 (+ z x)) (+ z x) (/ (- x z) y) (neg z) (/ y (- x z))) |
| 4.0ms | y | @ | inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ (- (+ (* 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 (+ z x)) (/ y (- x z))) (* 1/2 (+ z x)) (+ z x) (/ (- x z) y) (neg z) (/ y (- x z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 2266 |
| 1 | 1735 | 2040 |
| 2 | 6089 | 1831 |
| 0 | 8281 | 1744 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ 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 (* -1 (/ (pow z 2) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(/ z y) |
(+ (/ x y) (/ z y)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(/ x 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 (/ (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 (/ 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))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 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 (/ (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))) |
(/ 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) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* -1 (* x (- (/ z (* x y)) (/ 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 (/ (+ (* -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)) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/ (+ x z) y) |
(/ (pow z 2) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/ (- x z) y) |
(/ y (- x z)) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
1 |
(+ 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 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (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 x 2) (pow y 2))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(pow z 2) |
(* 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))) |
(+ (* 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)))))) |
(* -1 z) |
(+ (/ 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)) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* (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))) |
(* (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) (* -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) |
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(* (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))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* -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 (* z (+ (* -1 (/ x (* y z))) (/ 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 (/ (* 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 |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64))) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64))) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x (fma.f64 (neg.f64 y) (*.f64 (/.f64 z y) (/.f64 z y)) 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 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(+ 1 (* -1 (/ (pow z 2) (pow y 2)))) |
(fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(/ z y) |
(/.f64 z y) |
(+ (/ x y) (/ z y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
y |
(+ y (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x y) |
(/ x y) |
(/.f64 x y) |
(* 1/2 (+ 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 x z) (/.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 x z) (/.f64 (-.f64 x z) y) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(*.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(+ (* 1/2 x) (* 1/2 z)) |
(*.f64 (+.f64 x z) #s(literal 1/2 binary64)) |
z |
(+ x z) |
(+.f64 x z) |
(* -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 (fma.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (neg.f64 y) (*.f64 z z))) x (/.f64 (neg.f64 y) z)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(fma.f64 (/.f64 (/.f64 z y) 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) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (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 (/ (+ (* -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 (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 z x)) (+.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) y))) (*.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 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 z (/.f64 z y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (/ (* y z) x)) x) |
(/.f64 (fma.f64 (/.f64 z x) y 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) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 z y) x) x (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (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 (* 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 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 z (/.f64 (/.f64 z y) x)) #s(literal 1/2 binary64)) x)) x) x) |
(* -1 (* x (- (* -1/2 (/ z x)) 1/2))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x)) |
(/.f64 (fma.f64 (/.f64 z x) y 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 y z (/.f64 (*.f64 y (*.f64 z (fma.f64 z (/.f64 z x) z))) x)) x) y) x) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) y)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) y)) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 x z)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 y y)) |
(/ (+ x z) y) |
(/.f64 (+.f64 x z) y) |
(/ (pow z 2) y) |
(*.f64 z (/.f64 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) |
(/ (* (+ x z) (- x z)) y) |
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ y (- x z)) |
(/.f64 y (-.f64 x z)) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.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 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x y) y) x)) #s(literal -1/2 binary64)) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 x z))) (neg.f64 y)) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 y y (*.f64 x x)) y))) |
(+ 1 (/ (pow x 2) (pow y 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(pow z 2) |
(*.f64 z z) |
(* 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 x z) (/.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 x z) (/.f64 (-.f64 x z) y) y) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(*.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 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)) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) z) z) y (/.f64 #s(literal -1 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (/ (pow z 2) (pow y 2))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 y y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 y y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 (/.f64 x y) y) z)) (*.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 z z)) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(fma.f64 (/.f64 (/.f64 x y) z) z (/.f64 z y)) |
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 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)) |
(* -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 (*.f64 z z)) (/.f64 x y) (/.f64 (/.f64 y 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) |
(* (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 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) #s(literal -1 binary64))) (*.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) (* -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 (-.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y z) x y))) z) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) y)) z) |
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2)))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 y y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x y) y) x)) z) z)) z) z) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 x y) z) z (/.f64 z y)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 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 (-.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 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (neg.f64 z)) z)) z) 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 (/ (+ (* -1/2 (/ (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 x (/.f64 (/.f64 x y) z)) #s(literal -1/2 binary64)) z)) (*.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) (-.f64 #s(literal -1 binary64) (/.f64 x 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 (+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x y)) z) (*.f64 y x)) z) y) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 277 |
| 0 | 65 | 277 |
| 1 | 249 | 277 |
| 2 | 2000 | 277 |
| 0 | 8654 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(/.f64 (+.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) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #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)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 z x)) |
(+.f64 z x) |
(/.f64 (-.f64 x z) y) |
(neg.f64 z) |
(/.f64 y (-.f64 x z)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #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)) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.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 #s(literal 1/2 binary64) y))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 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 (*.f64 #s(literal 1/2 binary64) 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 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.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 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 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 (-.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)) (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (/.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 #s(literal 1/2 binary64) y)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 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 (*.f64 #s(literal 1/2 binary64) 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 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.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 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) y) #s(literal 1/2 binary64))) |
(*.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)) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.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)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -2 binary64)))) (/.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))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal -1 binary64)) (-.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))) #s(literal -1 binary64)) |
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(/.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 x x (*.f64 z (+.f64 x z)))) |
(/.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 (fma.f64 #s(literal -1 binary64) x z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) y)) (neg.f64 (+.f64 x z))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 y (+.f64 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) y) (+.f64 x z)) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 y (+.f64 x z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1 binary64) x z))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x z) y)) |
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (neg.f64 z) y)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (/.f64 x y) (/.f64 z y))) (/.f64 (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)) (+.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 (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 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) y))) |
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.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 x #s(literal 0 binary64)) y) (/.f64 z y)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 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) 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) y)) |
(*.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 y (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 (+.f64 x z) (-.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 x (-.f64 x z) (*.f64 z 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 x z) (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 x x (*.f64 z (+.f64 x z))) (pow.f64 y #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 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) (+.f64 x z)) |
(*.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 x x (*.f64 z (+.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.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)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.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) (/.f64 y (-.f64 x z))) |
(*.f64 y (pow.f64 (-.f64 x z) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 x z) y) #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 (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 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) 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)) |
(/.f64 y (-.f64 x z)) |
(neg.f64 (/.f64 y (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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) #s(literal -1 binary64))) |
Compiled 34 874 to 3 759 computations (89.2% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 867 | 5 | 872 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 870 | 13 | 883 |
| Status | Accuracy | Program |
|---|---|---|
| 30.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) #s(approx (/ y (- x z)) (/.f64 y x)))) | |
| 54.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(approx (* 1/2 (+ z x)) (*.f64 #s(literal 1/2 binary64) z)) (/.f64 y (-.f64 x z)))) | |
| ▶ | 28.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) |
| ✓ | 61.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ✓ | 70.3% | #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))) |
| ▶ | 84.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
| ✓ | 28.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| ▶ | 70.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
| ▶ | 30.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| ✓ | 68.7% | #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))) |
| ▶ | 39.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 36.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 533 to 359 computations (32.6% 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 | (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 z (/.f64 z y)) | |
| cost-diff | 0 | (-.f64 y (*.f64 z (/.f64 z y))) | |
| cost-diff | 0 | (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) | |
| cost-diff | 0 | #s(approx (/ (+ z x) y) (/.f64 z y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) | |
| cost-diff | 4 | (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 273 |
| 0 | 57 | 273 |
| 1 | 105 | 273 |
| 2 | 209 | 273 |
| 3 | 388 | 273 |
| 4 | 875 | 273 |
| 5 | 2682 | 257 |
| 6 | 5254 | 257 |
| 0 | 8446 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
#s(approx (/ (+ z x) y) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(/.f64 z y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
y |
(*.f64 z (/.f64 z y)) |
z |
(/.f64 z 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 x x)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) |
#s(literal 1/2 binary64) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (-.f64 x z) #s(approx (/ (+ z x) y) (/.f64 z y)) y) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)) #s(literal 1 binary64)) |
#s(approx (/ (+ z x) y) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(/.f64 z y) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.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 y) z)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
y |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z y) z) |
z |
(/.f64 z 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 x x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.4361751013742854 | (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) | |
| accuracy | 6.950314974545286 | (/.f64 y (*.f64 x x)) | |
| accuracy | 44.42402993703926 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) | |
| accuracy | 0.0 | (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (-.f64 y (*.f64 z (/.f64 z y))) | |
| accuracy | 0.09765625 | (*.f64 z (/.f64 z y)) | |
| accuracy | 18.770595111662455 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 44.42402993703926 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) | |
| accuracy | 38.832310482105015 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.11166000976844201 | (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) | |
| accuracy | 2.1076013163793985 | (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 25.612743297333832 | #s(approx (/ (+ z x) y) (/.f64 z y)) |
| 73.0ms | 256× | 0 | valid |
Compiled 210 to 35 computations (83.3% saved)
ival-sub: 24.0ms (42.5% of total)ival-mult: 18.0ms (31.9% of total)ival-div: 10.0ms (17.7% of total)ival-add: 3.0ms (5.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
#s(approx (/ (+ z x) y) (/.f64 z y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 z y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ 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 (* -1 (/ (pow z 2) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(/ z y) |
(+ (/ x y) (/ z y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
(/ y (pow x 2)) |
(pow x 2) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/ (+ x z) y) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(/ (pow z 2) y) |
(/ (- x z) y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
1 |
(+ 1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (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 x 2) (pow y 2))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(* -1/2 z) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ y (* -1 (/ (pow z 2) y))) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(* (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))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | z | @ | inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* z (/ z y))) 1/2) (- y (* z (/ z y))) (* z (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ 1/2 (/ y (* x x))) (/ y (* x x)) (* x x) (/ (- x z) y)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* z (/ z y))) 1/2) (- y (* z (/ z y))) (* z (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ 1/2 (/ y (* x x))) (/ y (* x x)) (* x x) (/ (- x z) y)) |
| 3.0ms | y | @ | inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* z (/ z y))) 1/2) (- y (* z (/ z y))) (* z (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ 1/2 (/ y (* x x))) (/ y (* x x)) (* x x) (/ (- x z) y)) |
| 3.0ms | y | @ | 0 | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* z (/ z y))) 1/2) (- y (* z (/ z y))) (* z (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ 1/2 (/ y (* x x))) (/ y (* x x)) (* x x) (/ (- x z) y)) |
| 2.0ms | z | @ | -inf | ((* (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (* 1/2 y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (+ (* (/ (+ z x) y) (/ (- x z) y)) 1) (/ (+ z x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) x) 1/2) (* (/ x y) x) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (* z (/ z y))) 1/2) (- y (* z (/ z y))) (* z (/ z y)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/ 1/2 (/ y (* x x))) (/ y (* x x)) (* x x) (/ (- x z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 1212 |
| 1 | 809 | 1066 |
| 2 | 2962 | 935 |
| 0 | 9401 | 887 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ 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 (* -1 (/ (pow z 2) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(/ z y) |
(+ (/ x y) (/ z y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ x y) |
(/ y (pow x 2)) |
(pow x 2) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/ (+ x z) y) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(/ (pow z 2) y) |
(/ (- x z) y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
1 |
(+ 1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (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 x 2) (pow y 2))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(* -1/2 z) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ y (* -1 (/ (pow z 2) y))) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* (pow z 2) (- (* -1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(* (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))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
| Outputs |
|---|
(* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))) (* x (+ (* 1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* 1/2 (/ x y))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x (fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) (fma.f64 (neg.f64 z) (/.f64 z y) y)) #s(literal 1/2 binary64)) |
(+ 1 (* -1 (/ (pow z 2) (pow y 2)))) |
(neg.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))))) |
(neg.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) |
(+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (* x (+ (* -1 (/ z (pow y 2))) (+ (/ x (pow y 2)) (/ z (pow y 2))))))) |
(fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) |
(/ z y) |
(/.f64 z y) |
(+ (/ x y) (/ z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (*.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) x) |
(* (pow x 2) (+ (* 1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) (pow x 2))) (+ (* 1/2 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 2)))))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(fma.f64 (/.f64 (/.f64 z y) x) x (/.f64 x y)) |
(* 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 (/ (+ (* -1/2 (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (* -1/2 (/ (* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) x))) x)) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (/ 1 (pow y 2)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 z y) x) x (/.f64 x y)) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(*.f64 (*.f64 (+.f64 x z) #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)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(*.f64 (*.f64 (+.f64 x z) #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)) |
(/ (* (+ x z) (- x z)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) y) (+.f64 x z)) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 y y)) |
(/ (+ x z) y) |
(/.f64 (+.f64 x z) y) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z z) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) y) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(/ (- (pow y 2) (pow z 2)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(/ (pow z 2) y) |
(*.f64 z (/.f64 z y)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* (+ x z) (- x z)) (pow y 2))) |
(fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64)) y) |
y |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64)) y) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(fma.f64 (*.f64 (neg.f64 z) (/.f64 z y)) #s(literal 1 binary64) y) |
(* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (+ 1 (/ (pow x 2) (pow y 2))))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) |
(+ 1 (/ (pow x 2) (pow y 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) |
(+ 1 (+ (* z (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ z (pow y 2))) (/ x (pow y 2))))) (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y) #s(literal 1 binary64)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 #s(literal 1/2 binary64) y)) |
(+ y (* -1 (/ (pow z 2) y))) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(* (pow z 2) (- (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(* (pow z 2) (- (+ (* 1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) y) z) (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* -1 (/ (pow z 2) (pow y 2))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 y y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) z) z) |
(* (pow z 2) (- (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 (pow z 2)) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))) (/ 1 (pow y 2)))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 x (*.f64 (*.f64 z z) y)) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 z z)) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(fma.f64 (/.f64 (/.f64 x y) z) z (/.f64 z y)) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(* 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 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (* y (+ 1 (/ (pow x 2) (pow y 2)))) z)) (* 1/2 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))) z)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64) y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (+ 1 (/ (pow x 2) (pow y 2))) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (neg.f64 z)) z)) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(fma.f64 (/.f64 (/.f64 x y) z) z (/.f64 z y)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 244 |
| 0 | 57 | 244 |
| 1 | 214 | 244 |
| 2 | 1564 | 244 |
| 0 | 8159 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) |
#s(approx (/ (+ z x) y) (/.f64 z y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 z y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)))) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)) #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(approx (/ (+ z x) y) (/.f64 z y)) #s(literal 1 binary64))) y) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 y z))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y (*.f64 z #s(literal 1 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) (*.f64 y (neg.f64 (neg.f64 z)))) (*.f64 y (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 y z))) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 (/.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)) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 y z))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.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)) (/.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)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) (*.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 y x)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) (*.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.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 (*.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 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) z)) (*.f64 (neg.f64 (/.f64 y x)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) (*.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (/.f64 y z))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) (*.f64 z #s(literal 1 binary64)))) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 y x) (neg.f64 (neg.f64 z)))) (*.f64 (/.f64 y x) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))) (*.f64 (/.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 y x) (neg.f64 (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 y (*.f64 z #s(literal 1 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (neg.f64 y))) (*.f64 y (neg.f64 (neg.f64 z)))) (*.f64 y (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 (/.f64 y z))) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) y) |
(/.f64 (-.f64 x (*.f64 z #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) z) y) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -1 binary64))) (+.f64 x z)) |
(/.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 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 y z) #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 y z) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #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 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y)) |
(/.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 y z) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.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 y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 x z)))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 y (+.f64 x z))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (neg.f64 (-.f64 x z)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) (/.f64 z y)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y x) #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 x) #s(literal -3 binary64)) (pow.f64 (/.f64 y z) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) y) (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y z)) (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (/.f64 y z)) (-.f64 (/.f64 y z) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 x y) (*.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 (neg.f64 x) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x z)) (fma.f64 x x (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x z)) y)) |
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (/.f64 (neg.f64 z) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (neg.f64 (/.f64 z y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (neg.f64 (/.f64 z y))) |
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (neg.f64 z) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (neg.f64 (/.f64 z y))) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 z y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #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 y x) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 y x) #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 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) (/.f64 y z))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 y))) (/.f64 (*.f64 (/.f64 y x) (neg.f64 z)) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 y z) (*.f64 (/.f64 y x) (/.f64 y z))) (/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) y))) |
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 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 y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.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) y)) |
(+.f64 (/.f64 x y) (neg.f64 (/.f64 z y))) |
Compiled 26 534 to 2 895 computations (89.1% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 682 | 5 | 687 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 4 | 6 |
| Total | 689 | 11 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| 39.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) | |
| 70.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 z) y) #s(literal 1/2 binary64))) | |
| ✓ | 61.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 68.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) | |
| 30.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))) | |
| ✓ | 30.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
| 30.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) | |
| ✓ | 68.7% | #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))) |
| ✓ | 39.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 36.2% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
Compiled 932 to 312 computations (66.5% 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) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 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 x (/.f64 y x)) #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))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) |
#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(approx (* 1/2 (+ z x)) (*.f64 #s(literal 1/2 binary64) z)) (/.f64 y (-.f64 x z)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) #s(approx (/ y (- x z)) (/.f64 y x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z)))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 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 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (+ z x) y) (/.f64 z y)) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.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))) |
6 calls:
| 11.0ms | (*.f64 x x) |
| 10.0ms | z |
| 8.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.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) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 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 x (/.f64 y x)) #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))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) |
| Outputs |
|---|
#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 (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:
| 11.0ms | (*.f64 z z) |
| 8.0ms | y |
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | x |
| 93.2% | 2 | y |
| 86.9% | 2 | z |
| 98.0% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 90.3% | 2 | (*.f64 x x) |
| 86.9% | 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) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 z) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 z) 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 |
|---|---|---|
| 96.9% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.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))) |
1 calls:
| 14.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 z) (/.f64 z y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (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 |
|---|---|---|
| 93.7% | 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) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
6 calls:
| 15.0ms | (*.f64 z z) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 2 | (*.f64 z z) |
| 59.8% | 3 | z |
| 57.8% | 2 | x |
| 57.8% | 2 | (*.f64 x x) |
| 64.0% | 4 | y |
| 73.9% | 4 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) |
1 calls:
| 2.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 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))) |
1 calls:
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 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)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
6 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.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 |
|---|---|---|
| 32.6% | 1 | x |
| 32.6% | 1 | (*.f64 x x) |
| 32.6% | 1 | (*.f64 z z) |
| 32.6% | 1 | z |
| 32.6% | 1 | y |
| 32.6% | 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 | 0.0 | 3.3046226010612105e-86 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -5.545080717468342e-97 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -5.545080717468342e-97 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.545080717468342e-97 | 0.0 |
Compiled 18 to 17 computations (5.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 9.91800134526592e+150 | 2.6834432793328416e+217 |
| 0.0ms | 0.0 | 3.3046226010612105e-86 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 3.3046226010612105e-86 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 0.0 | 3.3046226010612105e-86 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 716 |
| 1 | 107 | 716 |
| 2 | 152 | 716 |
| 3 | 230 | 716 |
| 4 | 404 | 716 |
| 5 | 761 | 716 |
| 6 | 1693 | 676 |
| 7 | 4059 | 676 |
| 8 | 7448 | 676 |
| 1× | node 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))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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 +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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +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 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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +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) z) (/.f64 z y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 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))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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 +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 (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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 (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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 z y) (neg.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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +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 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 -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +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) z) (/.f64 z y))))) |
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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 (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.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) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 2266 |
| 1 | 1735 | 2040 |
| 2 | 6089 | 1831 |
| 0 | 8281 | 1744 |
| 0 | 42 | 277 |
| 0 | 65 | 277 |
| 1 | 249 | 277 |
| 2 | 2000 | 277 |
| 0 | 8654 | 272 |
| 0 | 39 | 244 |
| 0 | 57 | 244 |
| 1 | 214 | 244 |
| 2 | 1564 | 244 |
| 0 | 8159 | 239 |
| 0 | 36 | 241 |
| 0 | 57 | 237 |
| 1 | 242 | 233 |
| 2 | 2285 | 233 |
| 0 | 8935 | 231 |
| 0 | 71 | 283 |
| 1 | 196 | 283 |
| 2 | 571 | 257 |
| 3 | 2181 | 253 |
| 4 | 6056 | 249 |
| 0 | 8348 | 231 |
| 0 | 353 | 1620 |
| 1 | 1147 | 1519 |
| 2 | 4070 | 1392 |
| 0 | 8724 | 1327 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 992 to 317 computations (68% saved)
(negabs y)
(abs x)
(abs z)
Compiled 1 660 to 304 computations (81.7% saved)
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