
Time bar (total: 8.6s)
| 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)
| 573.0ms | 8 256× | 0 | valid |
ival-mult: 220.0ms (60.9% of total)ival-div: 100.0ms (27.7% of total)ival-add: 32.0ms (8.9% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 0 | - | 1 | (2.9298041448579435e-13 2.7033831512044723e-268 -5.595664196653237e-161 1.4229355842491632e-15) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 65 | 0 | - | 3 | (-6.030145403491908e-157 4.860162526388308e-60 45556.29743544709 -1.0979453208643453e+229) | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 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)) | o/n | 16 | 0 |
| ↳ | (*.f64 z z) | overflow | 75 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 14 | 0 |
| ↳ | (*.f64 z z) | overflow | 75 | |
| ↳ | (*.f64 t t) | overflow | 63 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 14 | 0 |
| ↳ | (*.f64 x x) | underflow | 68 | |
| ↳ | (*.f64 y y) | underflow | 71 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 12 | 0 |
| ↳ | (*.f64 x x) | overflow | 70 | |
| ↳ | (*.f64 y y) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 10 | 0 |
| ↳ | (*.f64 z z) | underflow | 54 | |
| ↳ | (*.f64 t t) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 9 | 0 |
| ↳ | (*.f64 t t) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 8 | 0 |
| ↳ | (*.f64 y y) | underflow | 71 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 8 | 0 |
| ↳ | (*.f64 x x) | overflow | 70 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 6 | 0 |
| ↳ | (*.f64 x x) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 4 | 0 |
| ↳ | (*.f64 y y) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 3 | 0 |
| ↳ | (*.f64 t t) | overflow | 63 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 2 | 0 |
| ↳ | (*.f64 z z) | underflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 89 | 4 |
| - | 15 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 89 | 0 | 4 |
| - | 15 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 152 |
| 1 | 102 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 25.0ms (76.3% of total)ival-div: 5.0ms (15.3% of total)ival-add: 2.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 238× | unsub-neg |
| 1 000× | distribute-lft-in |
| 984× | distribute-rgt-in |
| 850× | associate-/l* |
| 770× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 214 |
| 1 | 175 | 214 |
| 2 | 626 | 214 |
| 3 | 2107 | 214 |
| 4 | 3907 | 214 |
| 5 | 4792 | 214 |
| 6 | 4924 | 214 |
| 7 | 4984 | 214 |
| 8 | 5060 | 214 |
| 9 | 5119 | 214 |
| 10 | 5791 | 214 |
| 11 | 6095 | 214 |
| 12 | 6095 | 214 |
| 13 | 6095 | 214 |
| 14 | 6463 | 214 |
| 15 | 6639 | 214 |
| 16 | 6799 | 214 |
| 17 | 6863 | 214 |
| 18 | 6863 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 31 | 15 |
| 2 | 43 | 15 |
| 3 | 43 | 15 |
| 0 | 43 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(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 |
|---|---|---|
| ▶ | 64.9% | (+.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 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) |
| 28× | lower-*.f32 |
| 24× | lower-/.f32 |
| 20× | lower-*.f64 |
| 20× | lower-/.f64 |
| 12× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 31 | 45 |
| 2 | 43 | 45 |
| 3 | 43 | 45 |
| 0 | 43 | 37 |
| 1× | iter limit |
| 1× | saturated |
| 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))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(/.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 | 15.036632185817444 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 21.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (57.8% of total)ival-div: 3.0ms (28.9% of total)ival-add: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ()) |
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor -inf t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor -inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* x x) (* y y) (* z z) (* t t) (/ (* z z) (* t t)) (/ (* x x) (* y y))) |
| 1.0ms | x | @ | 0 | ((* x x) (* y y) (* z z) (* t t) (/ (* z z) (* t t)) (/ (* x x) (* y y))) |
| 1.0ms | t | @ | 0 | ((* x x) (* y y) (* z z) (* t t) (/ (* z z) (* t t)) (/ (* x x) (* y y))) |
| 1.0ms | z | @ | 0 | ((* x x) (* y y) (* z z) (* t t) (/ (* z z) (* t t)) (/ (* x x) (* y y))) |
| 1.0ms | x | @ | inf | ((* x x) (* y y) (* z z) (* t t) (/ (* z z) (* t t)) (/ (* x x) (* y y))) |
| 1× | egg-herbie |
| 28× | lower-*.f64 |
| 28× | lower-*.f32 |
| 24× | lower-/.f32 |
| 24× | lower-/.f64 |
| 8× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 480 |
| 1 | 15 | 480 |
| 2 | 27 | 480 |
| 3 | 39 | 480 |
| 4 | 39 | 480 |
| 0 | 39 | 480 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
| Outputs |
|---|
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
| 3 048× | lower-*.f32 |
| 3 040× | lower-*.f64 |
| 2 372× | lower-/.f32 |
| 2 368× | lower-/.f64 |
| 2 116× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 48 | 22 |
| 2 | 209 | 22 |
| 3 | 1084 | 22 |
| 4 | 7277 | 22 |
| 0 | 8504 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
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(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)) (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 y) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
Compiled 9 832 to 1 455 computations (85.2% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 12 | 532 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 520 | 13 | 533 |
| Status | Accuracy | Program |
|---|---|---|
| 80.8% | (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 80.9% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 77.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 81.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 79.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 t) z) z))) | |
| 79.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 64.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 78.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
| 78.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(approx (/ (* z z) (* t t)) (*.f64 (/.f64 (/.f64 z t) t) z))) | |
| ▶ | 79.0% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.8% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 79.3% | (+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 79.4% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 387 to 289 computations (25.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| 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 (/.f64 t z) t) | |
| cost-diff | 0 | (/.f64 z (*.f64 (/.f64 t z) t)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 z 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 (/.f64 x y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) y) x) | |
| cost-diff | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| cost-diff | 128 | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 384 | (/.f64 (/.f64 z t) (/.f64 t z)) |
| 44× | lower-/.f32 |
| 36× | lower-*.f32 |
| 22× | lift-/.f64 |
| 22× | lower-/.f64 |
| 20× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 256 |
| 0 | 55 | 256 |
| 1 | 82 | 256 |
| 2 | 88 | 256 |
| 3 | 88 | 256 |
| 0 | 88 | 223 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.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)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 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 z (*.f64 (/.f64 t z) t))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (/.f64 t z) t)) |
z |
(*.f64 (/.f64 t z) t) |
(/.f64 t z) |
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 |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.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 t) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
z |
(*.f64 (/.f64 t z) t) |
(/.f64 t z) |
t |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 x y) x) | |
| accuracy | 4.118875973949094 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 t z) t) | |
| accuracy | 3.263939906385438 | (/.f64 z (*.f64 (/.f64 t z) t)) | |
| accuracy | 15.036632185817444 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 y x) y) | |
| accuracy | 2.8977482758474475 | (/.f64 x (*.f64 (/.f64 y x) y)) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 x y) y) | |
| accuracy | 2.5514940370085912 | (*.f64 (/.f64 (/.f64 x y) y) x) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| accuracy | 15.036632185817444 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 89.0ms | 256× | 0 | valid |
Compiled 242 to 30 computations (87.6% saved)
ival-div: 15.0ms (43.4% of total)ival-mult: 14.0ms (40.5% of total)ival-add: 5.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (/.f64 y x) y)) (patch (/.f64 x (*.f64 (/.f64 y x) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ()) |
#s(alt (/.f64 z (*.f64 (/.f64 t z) t)) (patch (/.f64 z (*.f64 (/.f64 t z) t)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 t z) t) (patch (*.f64 (/.f64 t z) t) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ()) |
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation:binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (/.f64 t z) t)) (patch (/.f64 z (*.f64 (/.f64 t z) t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (/.f64 t z) t)) (patch (/.f64 z (*.f64 (/.f64 t z) t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (/.f64 t z) t)) (patch (/.f64 z (*.f64 (/.f64 t z) t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (/.f64 t z) t)) (patch (/.f64 z (*.f64 (/.f64 t z) t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow t 2) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 t z) t) (patch (*.f64 (/.f64 t z) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow t 2) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 t z) t) (patch (*.f64 (/.f64 t z) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow t 2) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 t z) t) (patch (*.f64 (/.f64 t z) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow t 2) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 t z) t) (patch (*.f64 (/.f64 t z) t) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) x) y) (patch (/.f64 (*.f64 (/.f64 x y) x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((/ (/ z t) (/ t z)) (* x x) (* y y) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* z z) (/ z (* (/ t z) t)) (* (/ t z) t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 3.0ms | z | @ | inf | ((/ (/ z t) (/ t z)) (* x x) (* y y) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* z z) (/ z (* (/ t z) t)) (* (/ t z) t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 3.0ms | x | @ | -inf | ((/ (/ z t) (/ t z)) (* x x) (* y y) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* z z) (/ z (* (/ t z) t)) (* (/ t z) t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | y | @ | -inf | ((/ (/ z t) (/ t z)) (* x x) (* y y) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* z z) (/ z (* (/ t z) t)) (* (/ t z) t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | x | @ | inf | ((/ (/ z t) (/ t z)) (* x x) (* y y) (/ z t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* z z) (/ z (* (/ t z) t)) (* (/ t z) t) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1× | egg-herbie |
| 9 106× | lower-fma.f64 |
| 9 106× | lower-fma.f32 |
| 5 876× | lower-*.f64 |
| 5 876× | lower-*.f32 |
| 1 826× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 2832 |
| 1 | 67 | 2832 |
| 2 | 200 | 2832 |
| 3 | 840 | 2832 |
| 4 | 2872 | 2832 |
| 5 | 3986 | 2832 |
| 6 | 6331 | 2832 |
| 7 | 7819 | 2832 |
| 0 | 8123 | 2544 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow t 2) z) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 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 x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 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 x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 y t) z) x) (*.f64 y y)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 y t) z) x) (*.f64 y y)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 y t) z) x) (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y 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))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y 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))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x 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))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
| 5 150× | lower-*.f32 |
| 5 134× | lower-*.f64 |
| 5 042× | lower-/.f32 |
| 5 020× | lower-/.f64 |
| 4 230× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 128 |
| 0 | 46 | 128 |
| 1 | 148 | 104 |
| 2 | 1163 | 104 |
| 0 | 8204 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 z t) (/.f64 t z)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 z t) |
(+.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)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(*.f64 z z) |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(*.f64 (/.f64 t z) t) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 z t) #s(literal -1 binary64)) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 z t)) |
(*.f64 (/.f64 (/.f64 z t) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 z (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (/.f64 z t) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (*.f64 (pow.f64 t #s(literal -2 binary64)) z)) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 z) (/.f64 t z))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z t) z)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 t z))) |
(*.f64 (/.f64 (neg.f64 z) (/.f64 t z)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 t)) (/.f64 (neg.f64 z) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) t) (/.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 t)) (/.f64 z (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 t #s(literal -1 binary64))) (/.f64 t z))) |
(*.f64 (/.f64 z (pow.f64 z #s(literal -1 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 z t) (neg.f64 (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 z z) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z (/.f64 (neg.f64 t) z))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (/.f64 (/.f64 z t) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 z t) (neg.f64 t)) (neg.f64 z)) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (/.f64 z t) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (/.f64 t z))) |
(*.f64 (/.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 z t)) |
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(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 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)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 36 760 to 2 593 computations (92.9% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 053 | 6 | 2 059 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 057 | 15 | 2 072 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.8% | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 77.6% | (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.9% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 77.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 81.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 79.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 t) z) z))) | |
| 79.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 64.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 78.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
| ✓ | 79.0% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 97.9% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| ✓ | 79.4% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 72.3% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 55.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| ▶ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
Compiled 341 to 257 computations (24.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 (/.f64 x (/.f64 y x)) y) | |
| cost-diff | 384 | (/.f64 x (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 x x) y) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 y y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| cost-diff | 128 | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) (/.f64 z t)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 y x) y)) |
| 34× | lower-/.f32 |
| 32× | lower-*.f32 |
| 20× | lift-/.f64 |
| 18× | lower-fma.f64 |
| 18× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 243 |
| 0 | 55 | 243 |
| 1 | 79 | 243 |
| 2 | 82 | 243 |
| 0 | 82 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(/.f64 x (/.f64 y x)) |
x |
(/.f64 y x) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 x (*.f64 (/.f64 y x) y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 x y) |
x |
y |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z #s(approx (/ (* x x) (* y y)) (/.f64 x (*.f64 (/.f64 y x) y)))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (/ (* x x) (* y y)) (/.f64 x (*.f64 (/.f64 y x) y))) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
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 |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
x |
(/.f64 y x) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.10546875 | (/.f64 x (/.f64 y x)) | |
| accuracy | 4.118875973949094 | (/.f64 (/.f64 x (/.f64 y x)) y) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 4.118875973949094 | (/.f64 (/.f64 (*.f64 x x) y) y) | |
| accuracy | 7.23302630088721 | (/.f64 (*.f64 x x) y) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| accuracy | 2.5514940370085912 | (*.f64 (/.f64 x (*.f64 y y)) x) | |
| accuracy | 8.117226981141737 | (/.f64 x (*.f64 y y)) | |
| accuracy | 15.308472737583276 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.197597509768442 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| accuracy | 25.670787241934317 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| accuracy | 0 | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.1875 | (*.f64 (/.f64 z t) (/.f64 z t)) | |
| accuracy | 2.8977482758474475 | (/.f64 x (*.f64 (/.f64 y x) y)) |
| 58.0ms | 256× | 0 | valid |
Compiled 221 to 29 computations (86.9% saved)
ival-mult: 17.0ms (45.7% of total)ival-div: 16.0ms (43% of total)ival-add: 4.0ms (10.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (*.f64 (/.f64 y x) y)) (patch (/.f64 x (*.f64 (/.f64 y x) y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 x x) y) y) (patch (/.f64 (/.f64 (*.f64 x x) y) y) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (/.f64 y x)) y) (patch (/.f64 (/.f64 x (/.f64 y x)) y) #<representation:binary64>) () ()) |
#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 z z) (*.f64 t t)) (patch (/.f64 (*.f64 z z) (*.f64 t t)) #<representation:binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 t) (#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation:binary64>) () ())) ()) |
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#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (/.f64 x y)) (patch (*.f64 (/.f64 x y) (/.f64 x y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x x) y) y) (patch (/.f64 (/.f64 (*.f64 x x) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x x) y) y) (patch (/.f64 (/.f64 (*.f64 x x) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x x) y) y) (patch (/.f64 (/.f64 (*.f64 x x) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 x x) y) y) (patch (/.f64 (/.f64 (*.f64 x x) y) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) y) (patch (/.f64 (*.f64 x x) y) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 y x)) y) (patch (/.f64 (/.f64 x (/.f64 y x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 y x)) y) (patch (/.f64 (/.f64 x (/.f64 y x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 y x)) y) (patch (/.f64 (/.f64 x (/.f64 y x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (/.f64 y x)) y) (patch (/.f64 (/.f64 x (/.f64 y x)) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ x (* y y)) x) (* y y) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* z z) (/ x (/ y x)) (/ (/ x (/ y x)) y) (+ (/ x (* (/ y x) y)) (* (/ z t) (/ z t))) (/ (* z z) (* t t)) (/ x (* y y)) (* t t)) |
| 2.0ms | x | @ | -inf | ((/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ x (* y y)) x) (* y y) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* z z) (/ x (/ y x)) (/ (/ x (/ y x)) y) (+ (/ x (* (/ y x) y)) (* (/ z t) (/ z t))) (/ (* z z) (* t t)) (/ x (* y y)) (* t t)) |
| 2.0ms | x | @ | inf | ((/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ x (* y y)) x) (* y y) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* z z) (/ x (/ y x)) (/ (/ x (/ y x)) y) (+ (/ x (* (/ y x) y)) (* (/ z t) (/ z t))) (/ (* z z) (* t t)) (/ x (* y y)) (* t t)) |
| 2.0ms | y | @ | inf | ((/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ x (* y y)) x) (* y y) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* z z) (/ x (/ y x)) (/ (/ x (/ y x)) y) (+ (/ x (* (/ y x) y)) (* (/ z t) (/ z t))) (/ (* z z) (* t t)) (/ x (* y y)) (* t t)) |
| 2.0ms | x | @ | 0 | ((/ x (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ x (* y y)) x) (* y y) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* z z) (/ x (/ y x)) (/ (/ x (/ y x)) y) (+ (/ x (* (/ y x) y)) (* (/ z t) (/ z t))) (/ (* z z) (* t t)) (/ x (* y y)) (* t t)) |
| 1× | egg-herbie |
| 9 106× | lower-fma.f64 |
| 9 106× | lower-fma.f32 |
| 5 852× | lower-*.f64 |
| 5 852× | lower-*.f32 |
| 1 806× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 4056 |
| 1 | 65 | 4056 |
| 2 | 197 | 4056 |
| 3 | 833 | 4056 |
| 4 | 2858 | 4056 |
| 5 | 3972 | 4056 |
| 6 | 6295 | 4056 |
| 7 | 7783 | 4056 |
| 0 | 8087 | 3192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 z t) (/.f64 x y)) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
| 8 170× | lower-fma.f64 |
| 8 170× | lower-fma.f32 |
| 5 382× | lower-/.f32 |
| 5 364× | lower-/.f64 |
| 4 148× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 163 |
| 0 | 51 | 129 |
| 1 | 180 | 129 |
| 2 | 2007 | 129 |
| 0 | 8331 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(*.f64 y y) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 z z) |
(/.f64 x (/.f64 y x)) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 x (*.f64 y y)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (/.f64 x y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) (/.f64 x (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 x y) (neg.f64 y))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) y) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 x y)) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 x y) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 x y) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(*.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 x (*.f64 (neg.f64 y) y))) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 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) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 x y) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(pow.f64 (exp.f64 (log.f64 (/.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)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 (/.f64 y x) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) 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 x #s(literal 1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 y x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.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 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 x (/.f64 x (*.f64 (neg.f64 y) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) (*.f64 x (/.f64 x (*.f64 (neg.f64 y) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #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 (log.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 y x) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x y))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x y))) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) |
(/.f64 y (/.f64 x y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (/.f64 z t) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (/.f64 t z)) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t))) |
(neg.f64 (*.f64 (/.f64 z (neg.f64 t)) (/.f64 z t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (*.f64 (/.f64 z (neg.f64 t)) (/.f64 z t))) |
(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 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y)) |
(*.f64 (neg.f64 x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 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)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 41 708 to 3 313 computations (92.1% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 404 | 12 | 2 416 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 3 | 6 |
| Total | 2 412 | 19 | 2 431 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 81.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 79.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 64.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 78.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
| ✓ | 97.9% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| 86.7% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t (/.f64 t z)))) | |
| 89.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) | |
| ▶ | 89.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| ▶ | 49.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) | |
| 56.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| ▶ | 47.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) |
| 58.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 x (*.f64 (/.f64 y x) y))) | |
| ▶ | 55.3% | #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 x y) y) x)) | |
| ✓ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
| ▶ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| 49.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) | |
| 54.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
Compiled 380 to 328 computations (13.7% 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) (/.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) | |
| cost-diff | 256 | (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 (/.f64 z t) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| cost-diff | -384 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| cost-diff | 128 | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| 1 160× | lower-fma.f64 |
| 1 160× | lower-fma.f32 |
| 928× | lower-*.f32 |
| 914× | lower-*.f64 |
| 794× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 243 |
| 0 | 54 | 233 |
| 1 | 93 | 233 |
| 2 | 154 | 233 |
| 3 | 360 | 233 |
| 4 | 1101 | 233 |
| 5 | 1770 | 233 |
| 6 | 2433 | 233 |
| 7 | 2889 | 233 |
| 8 | 3343 | 233 |
| 9 | 3569 | 233 |
| 10 | 3671 | 233 |
| 11 | 3694 | 233 |
| 12 | 3696 | 233 |
| 13 | 3756 | 233 |
| 14 | 3863 | 233 |
| 15 | 4001 | 233 |
| 16 | 4101 | 233 |
| 17 | 4107 | 233 |
| 18 | 4115 | 233 |
| 19 | 4115 | 233 |
| 20 | 4171 | 233 |
| 21 | 4195 | 233 |
| 22 | 4195 | 233 |
| 23 | 4195 | 233 |
| 0 | 4195 | 200 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#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 |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(neg.f64 y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
| Outputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x y) (/.f64 x y)))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#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 |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
y |
(neg.f64 y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.197597509768442 | (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| accuracy | 0.7202668138959036 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 25.670787241934317 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.118875973949094 | (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) | |
| accuracy | 7.23302630088721 | (/.f64 (*.f64 (neg.f64 x) x) y) | |
| accuracy | 25.670787241934317 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.140625 | (/.f64 (/.f64 z t) t) | |
| accuracy | 3.582040522261951 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 26.559360456733256 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 15.036632185817444 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 25.670787241934317 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| accuracy | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| accuracy | 0.1875 | (*.f64 (/.f64 z t) (/.f64 z t)) | |
| accuracy | 2.5514940370085912 | (*.f64 (/.f64 x (*.f64 y y)) x) | |
| accuracy | 8.117226981141737 | (/.f64 x (*.f64 y y)) |
| 74.0ms | 256× | 0 | valid |
Compiled 193 to 30 computations (84.5% saved)
ival-div: 16.0ms (48.6% of total)ival-mult: 12.0ms (36.5% of total)ival-add: 2.0ms (6.1% of total)ival-neg: 2.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation:binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (*.f64 y y)) (patch (/.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 z t) t) z) (patch (*.f64 (/.f64 (/.f64 z t) t) z) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 z t) t) (patch (/.f64 (/.f64 z t) t) #<representation:binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) (patch (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) x) y) (patch (/.f64 (*.f64 (neg.f64 x) x) y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) (patch (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | ((+ (/ (* x x) (* y y)) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ x (* y y)) (* y y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ z t) (/ (/ (* (neg x) x) y) (neg y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg x) x) y) (* (neg x) x) (/ 1 (/ y x)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ 1 (/ y x))) (/ x y) (* (/ x (* y y)) x) (* (/ z t) (/ z t)) (neg x)) |
| 2.0ms | x | @ | inf | ((+ (/ (* x x) (* y y)) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ x (* y y)) (* y y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ z t) (/ (/ (* (neg x) x) y) (neg y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg x) x) y) (* (neg x) x) (/ 1 (/ y x)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ 1 (/ y x))) (/ x y) (* (/ x (* y y)) x) (* (/ z t) (/ z t)) (neg x)) |
| 2.0ms | x | @ | -inf | ((+ (/ (* x x) (* y y)) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ x (* y y)) (* y y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ z t) (/ (/ (* (neg x) x) y) (neg y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg x) x) y) (* (neg x) x) (/ 1 (/ y x)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ 1 (/ y x))) (/ x y) (* (/ x (* y y)) x) (* (/ z t) (/ z t)) (neg x)) |
| 2.0ms | z | @ | -inf | ((+ (/ (* x x) (* y y)) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ x (* y y)) (* y y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ z t) (/ (/ (* (neg x) x) y) (neg y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg x) x) y) (* (neg x) x) (/ 1 (/ y x)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ 1 (/ y x))) (/ x y) (* (/ x (* y y)) x) (* (/ z t) (/ z t)) (neg x)) |
| 2.0ms | y | @ | -inf | ((+ (/ (* x x) (* y y)) (* (/ z t) (/ z t))) (/ (* x x) (* y y)) (/ x (* y y)) (* y y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (/ (* x x) (* y y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (/ z t) (/ (/ (* (neg x) x) y) (neg y)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (neg x) x) y) (* (neg x) x) (/ 1 (/ y x)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ x y) (/ 1 (/ y x))) (/ x y) (* (/ x (* y y)) x) (* (/ z t) (/ z t)) (neg x)) |
| 1× | egg-herbie |
| 5 350× | lower-*.f64 |
| 5 350× | lower-*.f32 |
| 4 520× | lower-fma.f64 |
| 4 520× | lower-fma.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 5160 |
| 1 | 76 | 5160 |
| 2 | 215 | 5160 |
| 3 | 873 | 5160 |
| 4 | 2976 | 5160 |
| 5 | 4253 | 5160 |
| 6 | 7424 | 5160 |
| 0 | 8224 | 3720 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z (pow t 2)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow z 2) (pow t 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (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 x 2) (pow y 2)) |
(/ (pow x 2) (pow y 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 x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (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 z 2) (pow t 2))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) (pow y 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (hypot.f64 (*.f64 (/.f64 t y) x) z) (*.f64 t t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
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(/.f64 x (*.f64 y y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(hypot.f64 (/.f64 x y) (/.f64 z t)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 612× | lower-fma.f64 |
| 5 612× | lower-fma.f32 |
| 4 438× | lower-/.f32 |
| 4 420× | lower-/.f64 |
| 3 196× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 219 |
| 0 | 54 | 193 |
| 1 | 186 | 163 |
| 2 | 2091 | 163 |
| 0 | 8527 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
#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) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 (neg.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x y) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 #s(approx (/ (* x x) (* y y)) (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 4 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (-.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (-.f64 (hypot.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (hypot.f64 (pow.f64 (/.f64 t z) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t))) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (/.f64 #s(literal -1 binary64) t) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 #s(literal -1 binary64) t) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (/.f64 #s(literal -1 binary64) t) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (/.f64 #s(literal -1 binary64) t) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64)) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
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(fma.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z) #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
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(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (neg.f64 y) x)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y)))) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(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 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 y x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 y) x) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) x) y) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 (neg.f64 y) x)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 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) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (neg.f64 x) (*.f64 y (/.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x)))) |
(/.f64 x (neg.f64 (neg.f64 (*.f64 (/.f64 y x) y)))) |
(/.f64 x (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) y))) |
(/.f64 x (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 x (neg.f64 (*.f64 y (/.f64 (neg.f64 y) x)))) |
(/.f64 x (*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 y x) y))) (/.f64 x (neg.f64 (*.f64 (/.f64 y x) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) (/.f64 x (*.f64 (/.f64 (neg.f64 y) x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) (/.f64 x (*.f64 (/.f64 y x) (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (neg.f64 y) x))) (/.f64 x (*.f64 y (/.f64 (neg.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (/.f64 (neg.f64 x) y) (/.f64 y x))) |
(-.f64 #s(literal 0 binary64) (neg.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 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #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)) (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 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (neg.f64 t)))) |
(*.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) t) t)) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (*.f64 t 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 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (*.f64 z z) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64))) |
(*.f64 (*.f64 z 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 t) (/.f64 z t)) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z t))) #s(literal 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 (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 (neg.f64 z) t) z)) t) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))) t) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (neg.f64 z))) t) |
(/.f64 (neg.f64 (*.f64 z (/.f64 (neg.f64 z) t))) t) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 z t) z))) t) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (/.f64 (neg.f64 z) t) (neg.f64 (/.f64 t z))) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (neg.f64 z) (*.f64 (neg.f64 t) (/.f64 t z))) |
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (/.f64 z t) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 z (/.f64 (neg.f64 z) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (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 z z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t)))) |
(/.f64 z (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 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)))) |
(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 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 19 605 to 1 878 computations (90.4% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 523 | 8 | 1 531 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 2 | 5 |
| Total | 1 533 | 17 | 1 550 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.9% | (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| 90.0% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t)))) | |
| ✓ | 49.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 y))) |
| 58.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) | |
| 56.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 56.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| 46.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 47.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 x x) (*.f64 y y))) |
| 55.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| 58.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 x (*.f64 (/.f64 y x) y))) | |
| ✓ | 55.3% | #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 x y) y) x)) | |
| 50.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| 54.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| ✓ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
Compiled 648 to 262 computations (59.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.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 (*.f64 x x) (*.f64 y y)) #s(approx (/ (* z z) (* t t)) (*.f64 (/.f64 (/.f64 z t) t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t (/.f64 t z)))) |
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.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 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t)))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 t) z) z))) |
(+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
11 calls:
| 48.0ms | x |
| 32.0ms | (*.f64 t t) |
| 18.0ms | y |
| 17.0ms | t |
| 12.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | t |
| 97.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 97.9% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 97.9% | 1 | (*.f64 x x) |
| 97.9% | 1 | (*.f64 y y) |
| 97.9% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 97.9% | 1 | (*.f64 z z) |
| 97.9% | 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 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.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 (*.f64 x x) (*.f64 y y)) #s(approx (/ (* z z) (* t t)) (*.f64 (/.f64 (/.f64 z t) t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (*.f64 (/.f64 t z) t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t (/.f64 t z)))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
11 calls:
| 46.0ms | z |
| 33.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 22.0ms | x |
| 15.0ms | (*.f64 x x) |
| 10.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | x |
| 93.2% | 2 | y |
| 95.5% | 4 | z |
| 95.2% | 4 | t |
| 89.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 95.6% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 91.6% | 2 | (*.f64 x x) |
| 93.2% | 2 | (*.f64 y y) |
| 97.8% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 94.9% | 4 | (*.f64 z z) |
| 93.3% | 3 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.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))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
1 calls:
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t))) |
2 calls:
| 13.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 95.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.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))) |
11 calls:
| 26.0ms | y |
| 24.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 23.0ms | t |
| 17.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 86.8% | 3 | (*.f64 x x) |
| 86.8% | 3 | x |
| 83.4% | 3 | (*.f64 t t) |
| 85.3% | 3 | (*.f64 z z) |
| 83.4% | 3 | t |
| 85.3% | 3 | z |
| 83.1% | 3 | y |
| 83.1% | 3 | (*.f64 y y) |
| 87.9% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 89.6% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#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 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
2 calls:
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 5.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 86.3% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
4 calls:
| 31.0ms | (*.f64 x x) |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 4.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | (*.f64 x x) |
| 79.8% | 2 | x |
| 84.0% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 84.8% | 2 | (/.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 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
#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 x) x) y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
1 calls:
| 4.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#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 x (*.f64 (/.f64 y x) y))) |
#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 x y) x) y)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
4 calls:
| 6.0ms | z |
| 4.0ms | (*.f64 z z) |
| 3.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 3.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 2 | (*.f64 z z) |
| 78.0% | 2 | z |
| 82.9% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 83.1% | 2 | (/.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 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 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))) (*.f64 (/.f64 x y) (/.f64 x y))) |
4 calls:
| 5.0ms | t |
| 3.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 3.0ms | (*.f64 t t) |
| 3.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 2 | t |
| 69.4% | 2 | (*.f64 t t) |
| 77.6% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 83.1% | 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 x (*.f64 y y)) x)) |
#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 x x) (*.f64 y 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))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#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 x (*.f64 y y)) x)) |
9 calls:
| 7.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 z z) |
| 2.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 69.0% | 2 | z |
| 69.0% | 2 | (*.f64 z z) |
| 70.7% | 2 | x |
| 70.7% | 2 | (*.f64 x x) |
| 54.1% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 68.0% | 2 | y |
| 68.0% | 2 | (*.f64 y y) |
| 74.5% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 41 to 52 computations (-26.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
10 calls:
| 3.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | t |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (*.f64 y y) |
| 54.1% | 1 | y |
| 54.1% | 1 | z |
| 54.1% | 1 | (*.f64 z z) |
| 54.1% | 1 | (*.f64 t t) |
| 54.1% | 1 | t |
| 54.1% | 1 | x |
| 54.1% | 1 | (*.f64 x x) |
| 54.1% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 54.1% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 30 to 50 computations (-66.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6819387747054546e+290 | +inf |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6819387747054546e+290 | +inf |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 9e-323 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6819387747054546e+290 | +inf |
| 0.0ms | 0.0 | 9e-323 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.9069754019418306e+101 | 4.893836135765964e+137 |
Compiled 18 to 18 computations (0% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 689 |
| 1 | 81 | 689 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.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 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) #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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* 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 (*.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) (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 (*.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (*.f64 (/.f64 z t) (/.f64 z t)) (/.f64 x (*.f64 (/.f64 y x) y))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.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 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) #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 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 x y) (/.f64 y x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* 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 (*.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) (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 (*.f64 t t)) z)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x (*.f64 y y)) x)) |
| 9 106× | lower-fma.f64 |
| 9 106× | lower-fma.f32 |
| 8 170× | lower-fma.f64 |
| 8 170× | lower-fma.f32 |
| 5 876× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 219 |
| 0 | 54 | 193 |
| 1 | 186 | 163 |
| 2 | 2091 | 163 |
| 0 | 8527 | 147 |
| 0 | 11 | 480 |
| 1 | 15 | 480 |
| 2 | 27 | 480 |
| 3 | 39 | 480 |
| 4 | 39 | 480 |
| 0 | 39 | 480 |
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 48 | 22 |
| 2 | 209 | 22 |
| 3 | 1084 | 22 |
| 4 | 7277 | 22 |
| 0 | 8504 | 22 |
| 0 | 28 | 128 |
| 0 | 46 | 128 |
| 1 | 148 | 104 |
| 2 | 1163 | 104 |
| 0 | 8204 | 104 |
| 0 | 36 | 2832 |
| 1 | 67 | 2832 |
| 2 | 200 | 2832 |
| 3 | 840 | 2832 |
| 4 | 2872 | 2832 |
| 5 | 3986 | 2832 |
| 6 | 6331 | 2832 |
| 7 | 7819 | 2832 |
| 0 | 8123 | 2544 |
| 0 | 33 | 163 |
| 0 | 51 | 129 |
| 1 | 180 | 129 |
| 2 | 2007 | 129 |
| 0 | 8331 | 121 |
| 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 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 173 to 639 computations (45.5% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 060 to 328 computations (69.1% saved)
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