
Time bar (total: 9.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 828.0ms | 8 256× | 0 | valid |
ival-mult: 250.0ms (45.8% of total)ival-div: 238.0ms (43.6% of total)ival-add: 48.0ms (8.8% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 0 | - | 1 | (-1.0019131938421164e-160 4.74137329450731e-14 2.555432337133365e-297 1.4740915946473578e+109) | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 74 | 0 | - | 1 | (-1.9361530278609312e+275 -438673775131480.0 1.2086072370376966e-21 -1.0845163818633582e-156) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 18 | 0 |
| ↳ | (*.f64 z z) | underflow | 74 | |
| ↳ | (*.f64 t t) | underflow | 62 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 17 | 0 |
| ↳ | (*.f64 x x) | overflow | 57 | |
| ↳ | (*.f64 y y) | overflow | 76 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 16 | 0 |
| ↳ | (*.f64 x x) | underflow | 77 | |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 14 | 0 |
| ↳ | (*.f64 x x) | underflow | 77 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 11 | 0 |
| ↳ | (*.f64 t t) | underflow | 62 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 9 | 0 |
| ↳ | (*.f64 z z) | overflow | 62 | |
| ↳ | (*.f64 t t) | overflow | 74 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 8 | 0 |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 7 | 0 |
| ↳ | (*.f64 t t) | overflow | 74 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 7 | 0 |
| ↳ | (*.f64 z z) | underflow | 74 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 7 | 0 |
| ↳ | (*.f64 z z) | overflow | 62 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 5 | 0 |
| ↳ | (*.f64 x x) | overflow | 57 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 4 | 0 |
| ↳ | (*.f64 y y) | overflow | 76 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 107 | 4 |
| - | 15 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 107 | 0 | 4 |
| - | 15 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 134 |
| 1 | 121 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-mult: 13.0ms (59% of total)ival-div: 6.0ms (27.2% of total)ival-add: 2.0ms (9.1% of total)ival-true: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 214 |
| 1 | 207 | 214 |
| 2 | 1156 | 214 |
| 3 | 5344 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 51 | 15 |
| 2 | 203 | 15 |
| 3 | 1055 | 15 |
| 4 | 4482 | 15 |
| 5 | 6507 | 15 |
| 0 | 8005 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(abs t)
(abs z)
(abs y)
(abs x)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 51 | 45 |
| 2 | 203 | 45 |
| 3 | 1055 | 45 |
| 4 | 4482 | 45 |
| 5 | 6507 | 45 |
| 0 | 8005 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 18.54611310747178 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 52.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 39.0ms (91.2% of total)ival-div: 3.0ms (7% of total)ival-add: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | y | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | z | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | x | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | x | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | z | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 101 |
| 1 | 65 | 101 |
| 2 | 261 | 101 |
| 3 | 2311 | 101 |
| 0 | 8638 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow y 2) |
(*.f64 y y) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 89 | 33 |
| 2 | 1121 | 33 |
| 0 | 8714 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (*.f64 y y) (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y)))) |
(*.f64 (+.f64 y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 y y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) y))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y))) |
(*.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (*.f64 t t) (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t)))) |
(*.f64 (+.f64 t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 t t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) t))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) t (*.f64 (*.f64 y y) (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) t))) |
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
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(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (fabs.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) y) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) y) x)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(neg.f64 (/.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (neg.f64 y))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (pow.f64 t #s(literal -2 binary64))) (*.f64 z z)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 t) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 t) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (/.f64 t (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z (/.f64 z t))) |
(*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) z) |
(*.f64 (*.f64 z (/.f64 z t)) (fabs.f64 (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (*.f64 z (/.f64 z t)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (fabs.f64 (neg.f64 (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (*.f64 z z) (fabs.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 z t) z)) t) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 (*.f64 z (/.f64 z t)) t) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 t) t) z)) |
(/.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(neg.f64 (/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) t)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 z (/.f64 z t)) (neg.f64 t))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t t)) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(sqrt.f64 (pow.f64 t #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) |
(fabs.f64 (-.f64 (*.f64 t t) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (neg.f64 t) t)) |
(fabs.f64 (*.f64 t t)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
Compiled 9 744 to 1 202 computations (87.7% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 19 | 447 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 428 | 20 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 95.5% | (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| 87.9% | (fma.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| 78.3% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) | |
| ▶ | 77.4% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 76.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| ▶ | 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| ✓ | 57.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 63.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 76.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 65.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (/.f64 t (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)))) | |
| 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) | |
| 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| 67.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 77.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 67.5% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 74.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) | |
| ▶ | 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
Compiled 669 to 481 computations (28.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 6208 | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 6208 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 6208 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | -6080 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 (/.f64 z t) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 0 | 52 | 184 |
| 1 | 107 | 184 |
| 2 | 305 | 184 |
| 3 | 1638 | 184 |
| 4 | 5736 | 179 |
| 0 | 8067 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
z |
t |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
z |
t |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.15625 | (/.f64 (/.f64 x y) (/.f64 y x)) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 z t) z) | |
| accuracy | 3.4180216382324957 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| accuracy | 18.54611310747178 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 z t) t) | |
| accuracy | 4.641085276681996 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0.23046875 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| 108.0ms | 256× | 0 | valid |
Compiled 399 to 62 computations (84.5% saved)
ival-mult: 33.0ms (60.2% of total)ival-div: 14.0ms (25.5% of total)ival-add: 5.0ms (9.1% of total)ival-pow2: 3.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 (/.f64 z t) z) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(pow z 2) |
(/ (pow z 2) t) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (* (/ (/ z t) t) z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* t t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (* (/ z t) z) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (/ (* z z) (* t t)) (* (/ x y) (/ x y)) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (/ x y) (/ y x))) |
| 3.0ms | y | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (* (/ (/ z t) t) z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* t t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (* (/ z t) z) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (/ (* z z) (* t t)) (* (/ x y) (/ x y)) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (/ x y) (/ y x))) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (* (/ (/ z t) t) z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* t t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (* (/ z t) z) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (/ (* z z) (* t t)) (* (/ x y) (/ x y)) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (/ x y) (/ y x))) |
| 2.0ms | t | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (* (/ (/ z t) t) z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* t t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (* (/ z t) z) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (/ (* z z) (* t t)) (* (/ x y) (/ x y)) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (/ x y) (/ y x))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (* (/ (/ z t) t) z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* t t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (* (/ z t) z) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (/ (* z z) (* t t)) (* (/ x y) (/ x y)) (/ (* x x) (* y y)) (/ (* (/ z t) z) t) (/ (/ x y) (/ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 120 |
| 1 | 70 | 120 |
| 2 | 264 | 120 |
| 3 | 2320 | 120 |
| 0 | 8353 | 115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(pow z 2) |
(/ (pow z 2) t) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ x y) |
(/.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(/ y x) |
(/.f64 y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(pow y 2) |
(*.f64 y y) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 158 |
| 0 | 52 | 127 |
| 1 | 215 | 127 |
| 2 | 3040 | 127 |
| 0 | 8223 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 (/.f64 z t) z) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (*.f64 y y) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) t) t) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) t) (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) t) t) (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 t t)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 y y)) t) |
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t)) (/.f64 y x)) (*.f64 t t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) (neg.f64 (*.f64 (*.f64 y y) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t))) (neg.f64 (*.f64 (*.f64 (/.f64 y x) t) t))) |
(/.f64 (+.f64 y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 x y) x))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y y))) |
(/.f64 (+.f64 (/.f64 y x) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 y x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) x)) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x))) (*.f64 (*.f64 (neg.f64 t) t) y)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (neg.f64 y) x) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 (neg.f64 y) x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 y x) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 x y))) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (neg.f64 t) t) x)) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 y x) y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) y (*.f64 (neg.f64 t) (*.f64 (/.f64 x y) x))) (*.f64 (neg.f64 t) y)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) x))) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 (neg.f64 y) x) (*.f64 (neg.f64 t) (/.f64 (neg.f64 x) y))) (*.f64 (neg.f64 t) (/.f64 (neg.f64 y) x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 y y) (*.f64 (neg.f64 t) (*.f64 x x))) (*.f64 (neg.f64 t) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 y x) (*.f64 (neg.f64 t) (/.f64 x y))) (*.f64 (neg.f64 t) (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (/.f64 y x) y) (*.f64 (neg.f64 t) x)) (*.f64 (neg.f64 t) (*.f64 (/.f64 y x) y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (*.f64 t (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 (neg.f64 y) x) (*.f64 t (/.f64 (neg.f64 x) y))) (*.f64 t (/.f64 (neg.f64 y) x))) |
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(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
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(/.f64 x (*.f64 (/.f64 y x) y)) |
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(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
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(pow.f64 (/.f64 t z) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
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(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 (neg.f64 x) y))) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 (neg.f64 y) x)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (/.f64 x y))) (sqrt.f64 (*.f64 (*.f64 y y) (/.f64 y x)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) x))) (sqrt.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (neg.f64 x) x))) (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 (neg.f64 y) y)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 x x))) (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 y y)))) |
(/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 x y) x))) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) y))) |
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 x (*.f64 (neg.f64 x) x))) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (neg.f64 y) y)))) |
(/.f64 (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) y))) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 (neg.f64 y) x)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 y x) y)))) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 y y)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) y)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 y x)))) |
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) y) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))) (sqrt.f64 (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))) |
(/.f64 (sqrt.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (neg.f64 y) x))) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) y)))) |
(/.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x (fabs.f64 (*.f64 (neg.f64 y) (/.f64 y x)))) |
(/.f64 x (sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 x (sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (/.f64 y x))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(neg.f64 (/.f64 (/.f64 x y) (/.f64 (neg.f64 y) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))) |
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64))) |
(fabs.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) y))) |
(fabs.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(fabs.f64 (/.f64 (/.f64 (neg.f64 x) y) (/.f64 y x))) |
(fabs.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 (neg.f64 y) x))) |
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal -2 binary64)))) |
(fabs.f64 (*.f64 (neg.f64 x) (*.f64 x (pow.f64 y #s(literal -2 binary64))))) |
(fabs.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y))) |
(fabs.f64 (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
Compiled 26 152 to 3 477 computations (86.7% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 258 | 16 | 1 274 |
| Fresh | 9 | 5 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 270 | 24 | 1 294 |
| Status | Accuracy | Program |
|---|---|---|
| 95.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| 76.6% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ▶ | 96.8% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| 87.9% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) | |
| 55.5% | (/.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t)) (*.f64 (*.f64 (/.f64 y x) t) t)) | |
| ▶ | 73.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 65.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) | |
| ✓ | 57.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) | |
| 67.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 77.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 67.5% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 74.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 61.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) | |
| 45.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| 49.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) | |
| ✓ | 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| ▶ | 50.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
Compiled 905 to 608 computations (32.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 128 | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | -5696 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| cost-diff | -6080 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| cost-diff | -384 | (/.f64 z (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (/.f64 z t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 218 |
| 0 | 57 | 212 |
| 1 | 120 | 210 |
| 2 | 359 | 210 |
| 3 | 1821 | 210 |
| 4 | 6358 | 204 |
| 0 | 8061 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(/.f64 z (*.f64 t t)) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
(neg.f64 x) |
x |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) t) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(neg.f64 x) |
x |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 4.479386219012031 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 3.3030403801339094 | (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) | |
| accuracy | 9.299172832507987 | (/.f64 x (*.f64 (neg.f64 y) y)) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 4.641085276681996 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| accuracy | 8.607543320955669 | (/.f64 z (*.f64 t t)) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 y x) y) | |
| accuracy | 3.3798775771999177 | (/.f64 x (*.f64 (/.f64 y x) y)) |
| 102.0ms | 256× | 0 | valid |
Compiled 423 to 68 computations (83.9% saved)
ival-mult: 59.0ms (69.8% of total)ival-div: 19.0ms (22.5% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(neg.f64 x) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
| Outputs |
|---|
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ y x) |
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(* -1 x) |
(* -1 (/ x (pow y 2))) |
(/ (pow x 2) y) |
(/ x y) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(* -1 (pow y 2)) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | inf | ((/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* t t) (/ z (* t t)) (* (/ z (* t t)) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ z t) (/ t z)) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (* (neg y) y) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ (* z z) (* t t)) (* (neg x) (/ x (* (neg y) y)))) |
| 4.0ms | z | @ | 0 | ((/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* t t) (/ z (* t t)) (* (/ z (* t t)) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ z t) (/ t z)) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (* (neg y) y) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ (* z z) (* t t)) (* (neg x) (/ x (* (neg y) y)))) |
| 3.0ms | t | @ | 0 | ((/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* t t) (/ z (* t t)) (* (/ z (* t t)) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ z t) (/ t z)) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (* (neg y) y) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ (* z z) (* t t)) (* (neg x) (/ x (* (neg y) y)))) |
| 2.0ms | y | @ | -inf | ((/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* t t) (/ z (* t t)) (* (/ z (* t t)) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ z t) (/ t z)) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (* (neg y) y) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ (* z z) (* t t)) (* (neg x) (/ x (* (neg y) y)))) |
| 2.0ms | x | @ | -inf | ((/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* t t) (/ z (* t t)) (* (/ z (* t t)) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ z t) (/ t z)) (+ (* (neg x) (/ x (* (neg y) y))) (/ (* z z) (* t t))) (neg x) (/ x (* (neg y) y)) (* (neg y) y) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ (* z z) (* t t)) (* (neg x) (/ x (* (neg y) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 131 |
| 1 | 84 | 131 |
| 2 | 294 | 131 |
| 3 | 2406 | 131 |
| 4 | 7642 | 131 |
| 0 | 8076 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ y x) |
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(* -1 x) |
(* -1 (/ x (pow y 2))) |
(/ (pow x 2) y) |
(/ x y) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(* -1 (pow y 2)) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
| Outputs |
|---|
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ t z) |
(/.f64 t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 178 |
| 0 | 57 | 161 |
| 1 | 238 | 139 |
| 2 | 3618 | 139 |
| 0 | 8153 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(neg.f64 x) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64))) z) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 z) t) t)) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) z)) (sqrt.f64 (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 z) t)) (sqrt.f64 (/.f64 (neg.f64 z) t))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (neg.f64 z) (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (/.f64 z (*.f64 (neg.f64 t) t)))) |
(*.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 z t))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 z t) t)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (/.f64 z t) t))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z t)) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 z (fabs.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)))) |
(*.f64 z (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (*.f64 z #s(literal 1 binary64))) t) |
(/.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 z) z) t)) (sqrt.f64 (neg.f64 t))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 z t))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) (neg.f64 z))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 z t) z))) (sqrt.f64 (neg.f64 t))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (sqrt.f64 (/.f64 t z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (sqrt.f64 (*.f64 (/.f64 t z) (neg.f64 t)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 z #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) z)) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 z) t)) (sqrt.f64 (/.f64 (neg.f64 t) z))) |
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 (*.f64 (/.f64 t z) t)))) |
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 t z))) |
(/.f64 (sqrt.f64 (/.f64 (/.f64 z t) t)) (sqrt.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) z)) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (fabs.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
(/.f64 (neg.f64 z) (neg.f64 t)) |
(/.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 z t) |
(neg.f64 (/.f64 (neg.f64 z) t)) |
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64))) |
(fabs.f64 (-.f64 (/.f64 z t) #s(literal 0 binary64))) |
(fabs.f64 (/.f64 (neg.f64 z) t)) |
(fabs.f64 (/.f64 z t)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) x) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) x) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 x x) (fabs.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))) |
(*.f64 x (fabs.f64 (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))))) |
(*.f64 x (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))) |
(*.f64 x (neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 x (neg.f64 y)) x) #s(literal -1 binary64))) y) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))) y) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 x (neg.f64 y)) x))) y) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) y)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (/.f64 y x) y)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) y) |
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(/.f64 x (fabs.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 y) y) x)))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) y))) |
(neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) |
(fabs.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)))) |
(fabs.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x) #s(literal 0 binary64))) |
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) y))) |
(fabs.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
Compiled 20 513 to 2 664 computations (87% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 928 | 7 | 935 |
| Fresh | 6 | 10 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 935 | 24 | 959 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
| 76.6% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ✓ | 96.8% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| 87.9% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) | |
| 73.6% | (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 73.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 57.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) | |
| ▶ | 67.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 77.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 67.5% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 74.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 51.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
| 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) | |
| ▶ | 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ▶ | 45.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ✓ | 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| ✓ | 50.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) | |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
Compiled 836 to 562 computations (32.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (/.f64 x (/.f64 (*.f64 y y) x)) | |
| cost-diff | 128 | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | -5696 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 z) z) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) | |
| cost-diff | -6464 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 0 | (/.f64 z t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 216 |
| 0 | 55 | 202 |
| 1 | 118 | 202 |
| 2 | 355 | 202 |
| 3 | 1810 | 202 |
| 4 | 6239 | 195 |
| 0 | 8846 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) z) t) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
t |
(neg.f64 t) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
#s(literal 1 binary64) |
(/.f64 t z) |
t |
z |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
x |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 (/.f64 x y) y) x (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) t) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
t |
(neg.f64 t) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
(/.f64 z t) |
#s(literal 1 binary64) |
(/.f64 t z) |
t |
z |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
x |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 3.3798775771999177 | (/.f64 x (/.f64 (*.f64 y y) x)) | |
| accuracy | 9.247319152637111 | (/.f64 (*.f64 y y) x) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) | |
| accuracy | 0.3684658190114003 | (/.f64 #s(literal 1 binary64) (/.f64 t z)) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 3.4180216382324957 | (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) | |
| accuracy | 8.809317665579503 | (/.f64 (*.f64 (neg.f64 z) z) t) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 17.341378524069793 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 24.51795147809236 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 4.479386219012031 | (/.f64 (*.f64 (/.f64 x y) x) y) |
| 157.0ms | 256× | 0 | valid |
Compiled 407 to 66 computations (83.8% saved)
ival-div: 125.0ms (88.8% of total)ival-mult: 10.0ms (7.1% of total)ival-add: 3.0ms (2.1% of total)ival-neg: 2.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 z t) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) z) t) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(/.f64 t z) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) |
(neg.f64 t) |
| Outputs |
|---|
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ x y) |
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow y 2) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(* -1 (pow z 2)) |
(* -1 z) |
(/ t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(* -1 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | ((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg z) z) t) (* (neg z) z) (neg z) (/ 1 (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ 1 (/ t z)) (/ t z)) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (/ (* (neg z) z) t) (neg t)) (neg t)) |
| 4.0ms | z | @ | inf | ((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg z) z) t) (* (neg z) z) (neg z) (/ 1 (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ 1 (/ t z)) (/ t z)) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (/ (* (neg z) z) t) (neg t)) (neg t)) |
| 2.0ms | z | @ | -inf | ((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg z) z) t) (* (neg z) z) (neg z) (/ 1 (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ 1 (/ t z)) (/ t z)) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (/ (* (neg z) z) t) (neg t)) (neg t)) |
| 2.0ms | x | @ | -inf | ((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg z) z) t) (* (neg z) z) (neg z) (/ 1 (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ 1 (/ t z)) (/ t z)) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (/ (* (neg z) z) t) (neg t)) (neg t)) |
| 2.0ms | z | @ | 0 | ((/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg z) z) t) (* (neg z) z) (neg z) (/ 1 (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (/ (/ 1 (/ t z)) (/ t z)) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ (/ (* (neg z) z) t) (neg t)) (neg t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 131 |
| 1 | 85 | 131 |
| 2 | 287 | 131 |
| 3 | 2393 | 131 |
| 0 | 8760 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ x y) |
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow y 2) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(* -1 (pow z 2)) |
(* -1 z) |
(/ t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(* -1 t) |
| Outputs |
|---|
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow y 2) |
(*.f64 y y) |
(/ z t) |
(/.f64 z t) |
(pow z 2) |
(*.f64 z z) |
(* -1 (/ (pow z 2) t)) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 z) |
(neg.f64 z) |
(/ t z) |
(/.f64 t z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow t 2) |
(*.f64 t t) |
(* -1 t) |
(neg.f64 t) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 188 |
| 0 | 55 | 157 |
| 1 | 238 | 143 |
| 2 | 3689 | 141 |
| 0 | 8654 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z t) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) z) t) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(/.f64 t z) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z)) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) |
(neg.f64 t) |
| Outputs |
|---|
(*.f64 (fabs.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 z t) z)) (sqrt.f64 (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 t #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 z t) (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 t #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 z t) z))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 z t)) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (neg.f64 z) (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 t #s(literal -2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 t #s(literal -2 binary64))) z) |
(*.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 z t))) |
(*.f64 (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) z) |
(*.f64 #s(literal -1 binary64) (/.f64 z t)) |
(*.f64 #s(literal 1 binary64) (/.f64 z t)) |
(*.f64 (neg.f64 z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 z t) #s(literal 1 binary64)) |
(*.f64 z (sqrt.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 z (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) t) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64))) t) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) #s(literal -1 binary64))) (sqrt.f64 (/.f64 t z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (sqrt.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))) t) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64))) (sqrt.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) z)) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (pow.f64 t #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 t z) z))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 t z)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) t) |
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (/.f64 t z))) |
(/.f64 (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) t) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) t) |
(/.f64 (neg.f64 (neg.f64 z)) t) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (fabs.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 t z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
(/.f64 (neg.f64 z) t) |
(/.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 z t) |
(neg.f64 (/.f64 z t)) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 z t)) |
(-.f64 #s(literal 0 binary64) (/.f64 z t)) |
(fabs.f64 (-.f64 (/.f64 z t) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (/.f64 z t) (/.f64 #s(literal 0 binary64) t))) |
(fabs.f64 (/.f64 z t)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 z t))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 z t))) (sinh.f64 (log.f64 (/.f64 z t)))) |
(*.f64 (fabs.f64 (/.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 x y) y)) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 x y) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (neg.f64 x) (pow.f64 (*.f64 (neg.f64 y) (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 x (fabs.f64 (pow.f64 (*.f64 (neg.f64 y) (/.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (fabs.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y))) y) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) y) |
(/.f64 (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 y y)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 y y) x)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (fabs.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y y) x)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 (/.f64 x y) y) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 y y) x))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(fabs.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 y y) x))) |
(fabs.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(fabs.f64 (/.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))) |
(fabs.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(fabs.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) |
(fabs.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (fabs.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 x (fabs.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
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(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) #s(literal 2 binary64))) z) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64))) (sqrt.f64 (/.f64 z t))) |
(*.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (sqrt.f64 (*.f64 z (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 t (pow.f64 t #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (pow.f64 t #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (neg.f64 z)) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) z) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (fabs.f64 (/.f64 (/.f64 z t) (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z t) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z)) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (fabs.f64 (/.f64 z (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (neg.f64 z) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (sqrt.f64 (pow.f64 t #s(literal -4 binary64)))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 z (fabs.f64 (*.f64 (neg.f64 z) (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 z (fabs.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z)))) |
(*.f64 z (sqrt.f64 (pow.f64 (*.f64 t (/.f64 t z)) #s(literal -2 binary64)))) |
(*.f64 z (sqrt.f64 (pow.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 z (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z))) |
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) t) |
(/.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) t) |
(/.f64 (fabs.f64 (*.f64 (/.f64 z t) #s(literal -1 binary64))) (/.f64 t z)) |
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))) (fabs.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (fabs.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))) (*.f64 t t)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (fabs.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64))) (fabs.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) t) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (/.f64 z t) z))) (sqrt.f64 t)) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) t) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 z) z))) (sqrt.f64 (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) (*.f64 z z))) (sqrt.f64 (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) (/.f64 z t))) (sqrt.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 z t) z))) (sqrt.f64 (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 z z))) (*.f64 t t)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) (/.f64 z t))) (sqrt.f64 (*.f64 (*.f64 t t) (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (/.f64 z t) z))) (sqrt.f64 (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (neg.f64 z) z))) (*.f64 t t)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z z) (/.f64 z t))) (sqrt.f64 (*.f64 (*.f64 t t) (/.f64 t z)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) (*.f64 (/.f64 z t) z))) (sqrt.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) (*.f64 (neg.f64 z) z))) (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 t t)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) (*.f64 z z))) (sqrt.f64 (*.f64 (/.f64 t z) (*.f64 t t)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (sqrt.f64 (*.f64 t (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (sqrt.f64 (pow.f64 (*.f64 (/.f64 t z) t) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (*.f64 t (/.f64 t z)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) t) |
(/.f64 (sqrt.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64))) (sqrt.f64 (/.f64 t z))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 z t) z)) (sqrt.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) t))) |
(/.f64 (sqrt.f64 (/.f64 z t)) (sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) t) |
(/.f64 (*.f64 (/.f64 z t) #s(literal -1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) t)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 t (/.f64 t z))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 t (/.f64 t z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 t z) z)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 t z) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t)) |
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) t)) |
(/.f64 (neg.f64 z) (*.f64 t (/.f64 t z))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (fabs.f64 (*.f64 t (/.f64 t z)))) |
(/.f64 z (fabs.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 z (sqrt.f64 (pow.f64 (*.f64 t (/.f64 t z)) #s(literal 2 binary64)))) |
(/.f64 z (sqrt.f64 (pow.f64 (*.f64 (/.f64 t z) t) #s(literal 2 binary64)))) |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(/.f64 z (*.f64 t (/.f64 t z))) |
(neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 t) (sqrt.f64 t)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) t) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 #s(literal 1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(*.f64 t #s(literal 1 binary64)) |
(pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(pow.f64 t #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (*.f64 t t) t) |
(neg.f64 t) |
(sqrt.f64 (*.f64 t t)) |
(-.f64 #s(literal 0 binary64) t) |
(fabs.f64 (-.f64 t #s(literal 0 binary64))) |
(fabs.f64 t) |
(exp.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) t) |
t |
Compiled 23 368 to 2 706 computations (88.4% saved)
25 alts after pruning (14 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 097 | 2 | 1 099 |
| Fresh | 0 | 12 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 098 | 25 | 1 123 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
| 76.6% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ✓ | 96.8% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| 87.9% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) | |
| 73.6% | (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 73.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 57.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) | |
| 74.8% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 77.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 67.5% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 74.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 51.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
| 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) | |
| ✓ | 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
| 58.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) | |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 45.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ✓ | 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| ✓ | 50.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 61.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) | |
| 59.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
Compiled 1 380 to 500 computations (63.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t)) (*.f64 (*.f64 (/.f64 y x) t) t)) |
(fma.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (/.f64 t (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
11 calls:
| 42.0ms | (*.f64 y y) |
| 17.0ms | t |
| 15.0ms | y |
| 12.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 99.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 99.6% | 1 | (*.f64 x x) |
| 99.6% | 1 | (*.f64 y y) |
| 99.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 99.6% | 1 | (*.f64 z z) |
| 99.6% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y x) z) z (*.f64 (*.f64 (/.f64 x y) t) t)) (*.f64 (*.f64 (/.f64 y x) t) t)) |
(fma.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
11 calls:
| 33.0ms | x |
| 31.0ms | (*.f64 z z) |
| 22.0ms | (*.f64 x x) |
| 19.0ms | t |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 98.9% | 2 | y |
| 96.8% | 1 | z |
| 96.8% | 1 | t |
| 96.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 96.8% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 96.8% | 1 | (*.f64 x x) |
| 96.8% | 1 | (*.f64 y y) |
| 96.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 96.8% | 1 | (*.f64 z z) |
| 96.8% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
11 calls:
| 30.0ms | z |
| 27.0ms | (*.f64 z z) |
| 18.0ms | (*.f64 x x) |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 96.8% | 1 | z |
| 96.8% | 1 | t |
| 96.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 96.8% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 96.8% | 1 | (*.f64 x x) |
| 96.8% | 1 | (*.f64 y y) |
| 96.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 96.8% | 1 | (*.f64 z z) |
| 96.8% | 1 | (*.f64 t t) |
| 96.8% | 1 | y |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
11 calls:
| 111.0ms | (*.f64 y y) |
| 77.0ms | z |
| 9.0ms | y |
| 9.0ms | t |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | x |
| 92.8% | 1 | y |
| 92.8% | 1 | z |
| 95.0% | 2 | t |
| 92.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 95.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 92.8% | 1 | (*.f64 x x) |
| 92.8% | 1 | (*.f64 y y) |
| 92.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 92.8% | 1 | (*.f64 z z) |
| 94.6% | 2 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
11 calls:
| 48.0ms | (*.f64 z z) |
| 34.0ms | (*.f64 y y) |
| 34.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 9.0ms | t |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 2 | y |
| 87.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 90.0% | 2 | (*.f64 y y) |
| 92.4% | 2 | x |
| 91.3% | 3 | z |
| 91.3% | 2 | (*.f64 x x) |
| 93.8% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 91.3% | 3 | (*.f64 z z) |
| 91.2% | 3 | (*.f64 t t) |
| 91.2% | 3 | t |
| 94.3% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
4 calls:
| 80.0ms | x |
| 7.0ms | (*.f64 x x) |
| 7.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 7.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | (*.f64 x x) |
| 88.6% | 3 | x |
| 92.5% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 90.0% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
9 calls:
| 28.0ms | (*.f64 t t) |
| 21.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 7.0ms | t |
| 7.0ms | y |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 86.1% | 4 | t |
| 82.5% | 2 | (*.f64 t t) |
| 83.8% | 3 | z |
| 83.8% | 3 | (*.f64 z z) |
| 87.7% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 83.8% | 3 | y |
| 83.8% | 3 | (*.f64 y y) |
| 89.6% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 41 to 52 computations (-26.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
4 calls:
| 40.0ms | x |
| 6.0ms | (*.f64 x x) |
| 5.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 3 | x |
| 83.3% | 3 | (*.f64 x x) |
| 83.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 82.7% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| Outputs |
|---|
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
11 calls:
| 46.0ms | (*.f64 y y) |
| 17.0ms | (*.f64 t t) |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.7% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 76.0% | 3 | (*.f64 x x) |
| 76.0% | 3 | x |
| 76.6% | 2 | (*.f64 y y) |
| 76.6% | 2 | y |
| 72.9% | 2 | z |
| 72.9% | 2 | (*.f64 z z) |
| 75.5% | 2 | (*.f64 t t) |
| 75.5% | 2 | t |
| 81.0% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t z) z)) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) t) t) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
5 calls:
| 27.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 24.0ms | (*.f64 y y) |
| 6.0ms | y |
| 5.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 5.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | (*.f64 y y) |
| 69.1% | 2 | y |
| 75.9% | 3 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 77.8% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 74.3% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 33 to 34 computations (-3% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
11 calls:
| 26.0ms | (*.f64 x x) |
| 21.0ms | (*.f64 y y) |
| 21.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 5.0ms | x |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 1 | y |
| 61.6% | 1 | (*.f64 y y) |
| 61.6% | 1 | z |
| 61.6% | 1 | (*.f64 z z) |
| 61.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 61.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 61.6% | 1 | x |
| 61.6% | 1 | (*.f64 x x) |
| 61.6% | 1 | (*.f64 t t) |
| 61.6% | 1 | t |
| 61.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
11 calls:
| 21.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 4.0ms | (*.f64 t t) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | z |
| 61.5% | 1 | (*.f64 t t) |
| 61.5% | 1 | t |
| 61.5% | 1 | (*.f64 y y) |
| 61.5% | 1 | (*.f64 z z) |
| 61.5% | 1 | y |
| 61.5% | 1 | x |
| 61.5% | 1 | (*.f64 x x) |
| 61.5% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 61.5% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 61.5% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
Total -3.4b remaining (-10.6%)
Threshold costs -3.4b (-10.6%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
11 calls:
| 4.0ms | (*.f64 y y) |
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | z |
| 50.2% | 1 | (*.f64 y y) |
| 50.2% | 1 | (*.f64 z z) |
| 50.2% | 1 | (*.f64 t t) |
| 50.2% | 1 | y |
| 50.2% | 1 | t |
| 50.2% | 1 | x |
| 50.2% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 50.2% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 50.2% | 1 | (*.f64 x x) |
| 50.2% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6224548836374275e-235 | 3.1137762081285393e-226 |
| 8.0ms | 128× | 0 | valid |
Compiled 242 to 178 computations (26.4% saved)
ival-mult: 3.0ms (59.1% of total)ival-div: 1.0ms (19.7% of total)ival-add: 1.0ms (19.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.5677281797002865e+209 | 9.578068493209024e+217 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 3.909549232553407e+303 | +inf |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 4.0ms | 3.909549232553407e+303 | +inf |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2419329449847312e+270 | 6.669065133353506e+298 |
Compiled 18 to 18 computations (0% saved)
| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | +inf | NaN |
| 14.0ms | 1.0840600289535228e-115 | 5.070148857689698e-103 |
| 8.0ms | 160× | 0 | valid |
| 5.0ms | 101× | 0 | invalid |
Compiled 338 to 268 computations (20.7% saved)
ival-mult: 3.0ms (47.9% of total)ival-div: 2.0ms (32% of total)ival-add: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 562 |
| 1 | 110 | 561 |
| 2 | 146 | 556 |
| 3 | 206 | 556 |
| 4 | 311 | 556 |
| 5 | 420 | 556 |
| 6 | 517 | 556 |
| 7 | 591 | 556 |
| 8 | 643 | 556 |
| 9 | 663 | 556 |
| 10 | 665 | 556 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal 6828046779268971/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7985288719067947/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal 6828046779268971/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)))) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 y y)) x)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2000000000000000093507637770912255978379210862660820573682729745488032878789111789220736516360606673878153776268089900578652336369324860662948626554833959632774778559729275871173995040476704622045320156587457342770385866522124606869505276053562755097483935769278566891520 binary64)) (+.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7985288719067947/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7985288719067947/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 178 |
| 0 | 57 | 161 |
| 1 | 238 | 139 |
| 2 | 3618 | 139 |
| 0 | 8153 | 139 |
| 0 | 33 | 158 |
| 0 | 52 | 127 |
| 1 | 215 | 127 |
| 2 | 3040 | 127 |
| 0 | 8223 | 127 |
| 0 | 29 | 101 |
| 1 | 65 | 101 |
| 2 | 261 | 101 |
| 3 | 2311 | 101 |
| 0 | 8638 | 96 |
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 89 | 33 |
| 2 | 1121 | 33 |
| 0 | 8714 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 620 to 661 computations (59.2% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 260 to 272 computations (78.4% saved)
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