
Time bar (total: 9.0s)
| 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)
| 664.0ms | 8 256× | 0 | valid |
ival-mult: 222.0ms (60.5% of total)ival-div: 97.0ms (26.4% of total)ival-add: 38.0ms (10.3% of total)ival-true: 7.0ms (1.9% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 0 | - | 1 | (-1.6035614368777114e-134 3.83974382215399e-158 5.261498928634852e+270 1.5673812227748568e-46) | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 55 | 1 | (1.9982814178184495e-74 -3.1809496401847745e+67 1.4151510230190868e+115 -4.134570308207854e+276) | 1 | (1.1821968397539606e-278 -7.301025313053853e+291 3.246032451651944e-98 -1.9686116452376868e-158) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 13 | 0 |
| ↳ | (*.f64 z z) | underflow | 61 | |
| ↳ | (*.f64 t t) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 11 | 0 |
| ↳ | (*.f64 x x) | underflow | 64 | |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 11 | 0 |
| ↳ | (*.f64 x x) | overflow | 61 | |
| ↳ | (*.f64 y y) | overflow | 67 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 10 | 0 |
| ↳ | (*.f64 z z) | overflow | 59 | |
| ↳ | (*.f64 t t) | overflow | 63 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 8 | 0 |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 7 | 0 |
| ↳ | (*.f64 t t) | underflow | 65 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 6 | 0 |
| ↳ | (*.f64 x x) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 6 | 0 |
| ↳ | (*.f64 x x) | underflow | 64 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 5 | 0 |
| ↳ | (*.f64 y y) | overflow | 67 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 5 | 0 |
| ↳ | (*.f64 z z) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 4 | 0 |
| ↳ | (*.f64 z z) | underflow | 61 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 3 | 0 |
| ↳ | (*.f64 t t) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 7 |
| - | 15 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 7 |
| - | 15 | 0 | 163 |
| number | freq |
|---|---|
| 0 | 170 |
| 1 | 83 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 16.0ms (65.7% of total)ival-div: 6.0ms (24.6% of total)ival-add: 2.0ms (8.2% 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 | 14 |
| 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(abs t)
(abs z)
(abs y)
(abs x)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 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 | 44 |
| 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 12.67074746050187 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 14.638926811824035 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 20.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 7.0ms (60.8% of total)ival-div: 3.0ms (26% of total)ival-add: 1.0ms (8.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<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 z) (patch (*.f64 z z) #<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 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 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>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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) (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 x 2) (pow y 2)) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor -inf t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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) (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 x 2) (pow y 2)) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) (taylor 0 z) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | y | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | x | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | t | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | t | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1× | egg-herbie |
| 9 376× | lower-fma.f64 |
| 9 376× | lower-fma.f32 |
| 5 820× | lower-*.f64 |
| 5 820× | lower-*.f32 |
| 1 774× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 1128 |
| 1 | 60 | 1128 |
| 2 | 192 | 1128 |
| 3 | 823 | 1128 |
| 4 | 2853 | 1128 |
| 5 | 3973 | 1128 |
| 6 | 6262 | 1128 |
| 7 | 7756 | 1128 |
| 0 | 8060 | 1092 |
| 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(pow t 2) |
(*.f64 t t) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(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 x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(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 x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 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 (/.f64 x y) y) x) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y 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 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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(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 z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 (/.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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 (/.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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.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 (/.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) |
| 9 024× | lower-fma.f64 |
| 9 024× | lower-fma.f32 |
| 6 696× | lower-*.f32 |
| 6 688× | lower-*.f64 |
| 4 106× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8377 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (neg.f64 y)) y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y)))) |
(*.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y)))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t y)))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) (neg.f64 t) (*.f64 (*.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 t)) t))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y t) t))) |
(*.f64 (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t)))) |
(*.f64 (fma.f64 t t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x t) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y t)))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) t))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (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 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)) (neg.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))) (neg.f64 (*.f64 (*.f64 t (neg.f64 y)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(/.f64 (neg.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x))) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 t y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) (*.f64 t y))) |
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(*.f64 (neg.f64 x) (*.f64 x (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) |
(*.f64 (*.f64 x (/.f64 x y)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (/.f64 x y)) (pow.f64 y #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 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 x (/.f64 x y)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z) |
(*.f64 (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t))) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z (/.f64 z t))) |
(*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (/.f64 #s(literal 1 binary64) (neg.f64 t))) |
(*.f64 (neg.f64 z) (*.f64 z (neg.f64 (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (*.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) z) |
(*.f64 (*.f64 z (/.f64 z t)) (*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z (/.f64 z t)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) (*.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (pow.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (*.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t))) |
(*.f64 z (*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (pow.f64 t #s(literal -2 binary64)) z)) |
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) t) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t t) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 (*.f64 z (/.f64 z t)) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z (/.f64 z t)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(-.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 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (neg.f64 t)) t) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 (neg.f64 t))) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 10 577 to 1 105 computations (89.6% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 21 | 562 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 541 | 22 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 60.6% | (/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) | |
| 68.4% | (/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) | |
| 55.3% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) | |
| 79.2% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) | |
| 58.3% | (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) | |
| 65.0% | (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| 85.3% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 82.5% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 82.1% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| ▶ | 80.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| ✓ | 70.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 75.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| ▶ | 80.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
| 78.2% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 85.2% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 82.5% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 46.7% | (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) | |
| 98.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) | |
| 70.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| ▶ | 63.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
Compiled 695 to 491 computations (29.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 1 112× | div-sub |
| 1 040× | lower-fma.f32 |
| 1 038× | lower-fma.f64 |
| 896× | lower-*.f32 |
| 880× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 229 |
| 0 | 57 | 201 |
| 1 | 91 | 201 |
| 2 | 160 | 201 |
| 3 | 344 | 201 |
| 4 | 631 | 201 |
| 5 | 1060 | 201 |
| 6 | 1862 | 201 |
| 7 | 2193 | 201 |
| 8 | 2478 | 201 |
| 9 | 3030 | 201 |
| 10 | 3372 | 201 |
| 11 | 3378 | 201 |
| 12 | 3378 | 201 |
| 13 | 3494 | 201 |
| 14 | 3704 | 201 |
| 15 | 4130 | 201 |
| 16 | 4568 | 201 |
| 17 | 4653 | 201 |
| 18 | 4661 | 201 |
| 19 | 4661 | 201 |
| 20 | 4717 | 201 |
| 21 | 4741 | 201 |
| 22 | 4741 | 201 |
| 23 | 4741 | 201 |
| 0 | 4741 | 201 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(neg.f64 x) |
x |
(/.f64 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 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
t |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(neg.f64 x) |
x |
(/.f64 x y) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
t |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (/.f64 z t) z) | |
| accuracy | 0.42421335345465117 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) | |
| accuracy | 3.0433272133528644 | (/.f64 t (*.f64 (/.f64 z t) z)) | |
| accuracy | 14.638926811824035 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.1328125 | (*.f64 (neg.f64 x) (/.f64 x y)) | |
| accuracy | 4.015810959375488 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) | |
| accuracy | 12.67074746050187 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 z t) z) | |
| accuracy | 3.1024748867715424 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| accuracy | 14.638926811824035 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 z t) (/.f64 z t)) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0.228847509768442 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| 67.0ms | 256× | 0 | valid |
Compiled 224 to 32 computations (85.7% saved)
ival-add: 18.0ms (38.8% of total)ival-div: 12.0ms (25.9% of total)ival-mult: 12.0ms (25.9% of total)ival-pow2: 3.0ms (6.5% of total)ival-neg: 1.0ms (2.2% 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 (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z t) (/.f64 z t)) (patch (*.f64 (/.f64 z t) (/.f64 z t)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<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 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 x y)) (patch (*.f64 (neg.f64 x) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<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 t) z) (patch (*.f64 (/.f64 z t) z) #<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 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #<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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.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 (*.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 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) 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 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) 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 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) 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 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.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 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.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 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.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 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<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 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<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 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<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 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) (patch (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<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) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (/.f64 z t) z)) (patch (/.f64 t (*.f64 (/.f64 z t) z)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z))) |
| 2.0ms | x | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z))) |
| 2.0ms | t | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z))) |
| 2.0ms | y | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z t) (/ z t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (neg x) (/ 1 (/ t (* (/ z t) z))) (+ (/ (* x x) (* y y)) (/ 1 (/ t (* (/ z t) z)))) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (* (/ -1 y) (* (neg x) (/ x y))) (/ t (* (/ z t) z))) |
| 1× | egg-herbie |
| 5 414× | lower-*.f64 |
| 5 414× | lower-*.f32 |
| 4 408× | lower-fma.f64 |
| 4 408× | lower-fma.f32 |
| 2 296× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 5124 |
| 1 | 75 | 5124 |
| 2 | 219 | 5124 |
| 3 | 876 | 5124 |
| 4 | 2920 | 5124 |
| 5 | 4200 | 5124 |
| 6 | 7372 | 5124 |
| 0 | 8157 | 4944 |
| 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)) |
(/ 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)) |
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(/ (pow z 2) (pow t 2)) |
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(/ (+ (/ (* (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)) |
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
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(/ (pow z 2) t) |
(/ (pow z 2) t) |
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(/ (pow t 2) (pow z 2)) |
(/ (pow t 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))) |
(/ 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))) |
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(/ (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))) |
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(/ (pow z 2) (pow t 2)) |
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(/ (pow x 2) (pow y 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow z 2) (pow t 2)) |
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(/ (pow z 2) (pow t 2)) |
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(/ (pow x 2) (pow y 2)) |
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(/ (pow z 2) t) |
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(/ (pow x 2) (pow y 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
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(/ 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))) |
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(+ (/ (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))) |
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(+ (/ (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))) |
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(/ (pow z 2) (pow t 2)) |
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(/ z t) |
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(/ (pow x 2) (pow y 2)) |
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(/ z t) |
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(/ (pow z 2) t) |
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(/ z t) |
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(/ (pow z 2) (pow t 2)) |
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(/ (pow z 2) t) |
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(pow y 2) |
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(pow y 2) |
(pow y 2) |
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(/ (pow z 2) (pow t 2)) |
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(+ (/ (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 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 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 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))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) y)) |
(* -1 (/ (pow x 2) 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 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 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 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 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)) |
(/ (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)) |
(/ 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) (+ (/ 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) (+ (/ 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 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)) |
(/ (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)) |
(/ 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) (+ (/ 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) (+ (/ 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 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)) |
(/ (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 t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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 z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ 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 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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 z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
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(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow x 2) (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) (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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) |
(/ 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 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow 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) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* -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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) (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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) |
(/ 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 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow 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) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* -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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) (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) |
| 6 080× | lower-fma.f32 |
| 6 078× | lower-fma.f64 |
| 5 092× | lower-/.f32 |
| 5 076× | lower-/.f64 |
| 3 172× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 172 |
| 0 | 57 | 131 |
| 1 | 216 | 129 |
| 2 | 2329 | 129 |
| 0 | 8562 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 z t) z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (*.f64 y y) t) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (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 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x) (*.f64 y y)) (*.f64 y y))) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 y y))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 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) (/.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
(/.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 y #s(literal -1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) |
(/.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 (neg.f64 x) (/.f64 x y)) (*.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x y) x))) |
(neg.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 x y) x) (*.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 y x)) (/.f64 (/.f64 x (neg.f64 y)) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 t z) t) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 t t)) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) z) #s(literal 1 binary64)) t) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 t z) t)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t)) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 t t)) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) (neg.f64 t)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 t z) t)) |
(*.f64 (*.f64 (/.f64 t z) t) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(*.f64 (/.f64 t z) (/.f64 t z)) |
(*.f64 (neg.f64 t) (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(*.f64 t (pow.f64 (/.f64 (/.f64 t z) z) #s(literal 1 binary64))) |
(*.f64 t (/.f64 (/.f64 t z) z)) |
(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 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (pow.f64 t #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 t z) z)) (neg.f64 (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 (*.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (neg.f64 (/.f64 t z)) (neg.f64 (/.f64 z t))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 (/.f64 z t) z)) |
(/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (/.f64 t z) t) z) |
(/.f64 (/.f64 (/.f64 t z) z) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (/.f64 t z) (/.f64 z t)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 t #s(literal 1 binary64)))) |
(/.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 t t) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 t t) (*.f64 (neg.f64 z) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal -2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
Compiled 63 643 to 3 542 computations (94.4% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 293 | 11 | 3 304 |
| Fresh | 12 | 4 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 309 | 17 | 3 326 |
| Status | Accuracy | Program |
|---|---|---|
| 95.8% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 58.3% | (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) | |
| ▶ | 82.5% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 70.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 84.3% | (+.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 78.2% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 85.2% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 70.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| 61.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| ▶ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
| 63.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 62.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ▶ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 61.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ▶ | 62.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
| ✓ | 63.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
Compiled 395 to 308 computations (22% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 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)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| cost-diff | -384 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 96× | lower-*.f32 |
| 84× | lower-/.f32 |
| 82× | lower-*.f64 |
| 70× | lower-/.f64 |
| 40× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 221 |
| 0 | 51 | 205 |
| 1 | 78 | 205 |
| 2 | 111 | 205 |
| 3 | 149 | 205 |
| 4 | 195 | 205 |
| 5 | 207 | 205 |
| 0 | 207 | 205 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) |
t |
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
#s(literal 1 binary64) |
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
t |
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 z t) z) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (*.f64 (/.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 | 0.1328125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 3.9588384496070446 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 12.67074746050187 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 z t) z) | |
| accuracy | 0.42421335345465117 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) | |
| accuracy | 3.0433272133528644 | (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 x y) y) | |
| accuracy | 2.4854646928646815 | (*.f64 (/.f64 (/.f64 x y) y) x) | |
| accuracy | 27.335513992254793 | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 12.67074746050187 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| accuracy | 0.228847509768442 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 74.0ms | 256× | 0 | valid |
Compiled 196 to 30 computations (84.7% saved)
ival-mult: 37.0ms (67.2% of total)ival-div: 13.0ms (23.6% of total)ival-add: 4.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #<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 #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t 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 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) #<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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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>) () ())) ()) |
#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 z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow t 2) (pow z 2)) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (patch (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ())) ()) |
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#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 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) #<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 (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) (patch (fma.f64 (/.f64 z t) (/.f64 z 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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<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 t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) y) x) (patch (*.f64 (/.f64 (/.f64 x y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<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 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.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 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) (patch (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) #<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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z)) |
| 2.0ms | x | @ | inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z)) |
| 2.0ms | t | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z)) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* (/ (/ x y) y) x) (/ (/ x y) y) (/ 1 (/ t (* (* (/ z t) z) 1))) (* (* (/ z t) z) 1) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t (* (* (/ z t) z) 1)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (* (/ z t) z)) |
| 1× | egg-herbie |
| 8 838× | lower-fma.f64 |
| 8 838× | lower-fma.f32 |
| 5 934× | lower-*.f64 |
| 5 934× | lower-*.f32 |
| 1 826× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 4944 |
| 1 | 66 | 4944 |
| 2 | 202 | 4944 |
| 3 | 851 | 4944 |
| 4 | 2871 | 4944 |
| 5 | 3994 | 4944 |
| 6 | 6338 | 4944 |
| 7 | 7829 | 4944 |
| 0 | 8133 | 4764 |
| 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)) |
(/ 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 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 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 z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) 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 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 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) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) 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))) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
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(/ (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) (+ (/ 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 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) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
| Outputs |
|---|
(/ (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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 (/.f64 z t) t) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(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) (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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ 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 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow t 2) |
(*.f64 t t) |
(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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ 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 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow t 2) |
(*.f64 t t) |
(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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ 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 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow 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 x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow 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) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
| 7 418× | lower-fma.f32 |
| 7 416× | lower-fma.f64 |
| 5 254× | lower-/.f32 |
| 5 240× | lower-/.f64 |
| 3 848× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 184 |
| 0 | 51 | 137 |
| 1 | 205 | 135 |
| 2 | 2141 | 135 |
| 0 | 8615 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 z t) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
(/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) |
(+.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 (/.f64 z t) z) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) y) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y y) t)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 t t) y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) y (*.f64 (neg.f64 t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) y))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 y y) (*.f64 (neg.f64 t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (neg.f64 y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) y))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (neg.f64 y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)))) |
(*.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) y))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (neg.f64 y) (*.f64 t (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (neg.f64 y)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 t) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) t (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) t))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 t t) (*.f64 (neg.f64 y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) t))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 t t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 t) (*.f64 y (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 t)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 t) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (neg.f64 t)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) (/.f64 x y))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 z t) z) |
(*.f64 z (*.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 z (/.f64 z t)) |
(pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 t z))) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t z) z))) |
(/.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) z)) |
(/.f64 (*.f64 z z) t) |
(/.f64 z (/.f64 t z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 z t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t z) z)) #s(literal -1 binary64))) |
Compiled 38 508 to 2 884 computations (92.5% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 269 | 9 | 2 278 |
| Fresh | 6 | 4 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2 278 | 17 | 2 295 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 58.3% | (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) | |
| 61.3% | #s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| ▶ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) | |
| 46.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| 51.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) | |
| 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) | |
| ✓ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
| ▶ | 51.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| ▶ | 63.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| ▶ | 62.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 61.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ▶ | 62.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
| ✓ | 63.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
Compiled 284 to 263 computations (7.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (*.f64 (/.f64 t z) (/.f64 t z)) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t 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 | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| cost-diff | -384 | (*.f64 (/.f64 x (*.f64 y y)) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| cost-diff | 384 | (/.f64 (/.f64 z t) (/.f64 t z)) |
| 96× | lower-*.f32 |
| 86× | lower-*.f64 |
| 72× | lower-/.f32 |
| 56× | lower-/.f64 |
| 42× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 205 |
| 0 | 47 | 201 |
| 1 | 70 | 201 |
| 2 | 82 | 201 |
| 3 | 98 | 201 |
| 4 | 117 | 201 |
| 5 | 168 | 201 |
| 6 | 187 | 201 |
| 0 | 187 | 196 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 t z) (/.f64 t z)) |
(/.f64 t z) |
t |
z |
| Outputs |
|---|
#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 (/.f64 z t) z) t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.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 |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
#s(literal 1 binary64) |
(*.f64 (/.f64 t z) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/.f64 t z) |
t |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0.19597626953688402 | (*.f64 (/.f64 t z) (/.f64 t z)) | |
| accuracy | 0.42421335345465117 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 3.9588384496070446 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 27.335513992254793 | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 z t) z) | |
| accuracy | 3.1024748867715424 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 2.4854646928646815 | (*.f64 (/.f64 x (*.f64 y y)) x) | |
| accuracy | 8.08818682161559 | (/.f64 x (*.f64 y y)) | |
| accuracy | 27.335513992254793 | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0.146816259768442 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| accuracy | 23.515640030593985 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 51.0ms | 256× | 0 | valid |
Compiled 165 to 27 computations (83.6% saved)
ival-div: 16.0ms (44.1% of total)ival-mult: 13.0ms (35.8% of total)ival-add: 7.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 z t) (/.f64 t z)) (patch (/.f64 (/.f64 z t) (/.f64 t z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.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 (*.f64 (/.f64 x (*.f64 y y)) x) (patch (*.f64 (/.f64 x (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 z t) z) t) (patch (/.f64 (*.f64 (/.f64 z t) z) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z t) z) (patch (*.f64 (/.f64 z t) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 t z) (/.f64 t z)) (patch (*.f64 (/.f64 t z) (/.f64 t z)) #<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 (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.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 (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow z 2) (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
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#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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<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 z t) (/.f64 t z))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<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 t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<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 t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<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 t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #<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>) () ())) ()) |
#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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) 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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) 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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) 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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) 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 t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) 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 t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) 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 t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.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) (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 #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<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 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) (patch #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z))) |
| 3.0ms | z | @ | 0 | ((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z))) |
| 2.0ms | x | @ | -inf | ((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z))) |
| 2.0ms | t | @ | -inf | ((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z))) |
| 2.0ms | z | @ | -inf | ((/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z t) (/ t z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ x (* y y)) (* y y) (* (/ x (* y y)) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ z t) z) t) (* (/ z t) z) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/ (* (/ x y) x) y) (* (/ x y) x) (/ x y) (/ 1 (* (/ t z) (/ t z))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ t z) (/ t z))) |
| 1× | egg-herbie |
| 8 838× | lower-fma.f64 |
| 8 838× | lower-fma.f32 |
| 5 934× | lower-*.f64 |
| 5 934× | lower-*.f32 |
| 1 826× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 4860 |
| 1 | 67 | 4860 |
| 2 | 202 | 4860 |
| 3 | 852 | 4860 |
| 4 | 2892 | 4860 |
| 5 | 4010 | 4860 |
| 6 | 6356 | 4860 |
| 7 | 7847 | 4860 |
| 0 | 8151 | 4680 |
| 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)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (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 z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) 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 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 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 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))) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (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) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow x 2) (pow y 2)) |
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(* (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))))) |
| 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z 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 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 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) 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 x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) 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 x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) z) t) |
(/ (pow t 2) (pow z 2)) |
(*.f64 (/.f64 (/.f64 t z) 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 x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(/ (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))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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 x y) (/.f64 x y)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
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(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ 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 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 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 z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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 z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ 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 z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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 z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ 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 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ 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 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow 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) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
| 5 330× | lower-/.f32 |
| 5 314× | lower-/.f64 |
| 3 226× | lower-fma.f64 |
| 3 226× | lower-fma.f32 |
| 3 212× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 188 |
| 0 | 47 | 182 |
| 1 | 169 | 142 |
| 2 | 2478 | 142 |
| 0 | 8386 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 z t) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 z t) |
(/.f64 t z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
(*.f64 (/.f64 t z) (/.f64 t z)) |
| Outputs |
|---|
(*.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 z) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 t) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -2 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (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)) (neg.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) 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)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z)) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 z (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t z))) |
(*.f64 z (*.f64 z (pow.f64 t #s(literal -2 binary64)))) |
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))) (/.f64 t z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (/.f64 (neg.f64 t) z)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t)))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t)) (/.f64 (neg.f64 t) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)) t) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 t t)) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 t z) t)) |
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 t z) t)) |
(/.f64 (*.f64 z (pow.f64 t #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 t) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(/.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 (/.f64 t z) (neg.f64 t)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 t) z) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (/.f64 z t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (pow.f64 t #s(literal -2 binary64))))) |
(/.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 (/.f64 z t) z) t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) t)) |
(neg.f64 (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 t))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 t z) t))) (/.f64 z (neg.f64 (*.f64 (/.f64 t z) t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 t z) (neg.f64 t))) (/.f64 z (*.f64 (/.f64 t z) (neg.f64 t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) z)) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 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 (/.f64 t z)) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) (neg.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 t) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 t z) t) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 t t) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1/2 binary64)) (pow.f64 t #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z t)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z t)) |
(*.f64 (/.f64 z t) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 z (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (pow.f64 t #s(literal -1 binary64))) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) t) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (neg.f64 t)) |
(/.f64 (/.f64 (neg.f64 z) t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
(/.f64 (/.f64 z t) #s(literal 1 binary64)) |
(/.f64 z t) |
(neg.f64 (/.f64 (neg.f64 z) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 z) t)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) t) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (neg.f64 t)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) t) |
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 t z)) |
(*.f64 t (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 t (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 t z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) z) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (neg.f64 t) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 t) z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z t)) |
(/.f64 (/.f64 t z) #s(literal 1 binary64)) |
(/.f64 t z) |
(neg.f64 (/.f64 (neg.f64 t) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 t) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal 1 binary64))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(*.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 (neg.f64 x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(*.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)) |
(pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y x))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (neg.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 y (/.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
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(pow.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t z) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 t z) z)) (neg.f64 (pow.f64 t #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 t z) t))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t z))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) (neg.f64 t))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) #s(literal 1 binary64))) (/.f64 (neg.f64 z) t)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (/.f64 (/.f64 t z) z) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 (*.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 t z) t)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 (/.f64 z t) z)) |
(/.f64 (*.f64 (/.f64 t z) #s(literal 1 binary64)) (/.f64 z t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 z t) z)) |
(/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (/.f64 t z) t) z) |
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.f64 (/.f64 (neg.f64 t) z) (/.f64 (neg.f64 z) t)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 t z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (neg.f64 t) (/.f64 t z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 (neg.f64 t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z t) (*.f64 (/.f64 t z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 #s(literal 1 binary64) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 #s(literal 1 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) |
(/.f64 (*.f64 t t) (*.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (*.f64 t t) (*.f64 z z)) |
(/.f64 (/.f64 t z) (/.f64 z t)) |
(/.f64 t (*.f64 (/.f64 z t) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 z t))) (/.f64 t (*.f64 (neg.f64 z) (/.f64 z t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t)) (/.f64 (/.f64 t z) (/.f64 (neg.f64 z) t))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
Compiled 15 695 to 1 679 computations (89.3% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 389 | 3 | 1 392 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 394 | 15 | 1 409 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 58.3% | (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) | |
| 61.3% | #s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| 50.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) | |
| 46.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) | |
| ✓ | 51.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| 58.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) | |
| ✓ | 63.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| ✓ | 62.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 61.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ✓ | 62.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
| ✓ | 63.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
Compiled 722 to 270 computations (62.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 z z) (*.f64 t 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 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
11 calls:
| 43.0ms | (*.f64 y y) |
| 42.0ms | (*.f64 z z) |
| 33.0ms | z |
| 30.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 29.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 99.7% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 99.7% | 1 | (*.f64 x x) |
| 99.7% | 1 | (*.f64 y y) |
| 99.7% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 99.7% | 1 | (*.f64 z z) |
| 99.7% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) |
11 calls:
| 53.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 49.0ms | z |
| 36.0ms | (*.f64 x x) |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | y |
| 98.2% | 1 | z |
| 98.2% | 1 | t |
| 98.2% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 98.2% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 98.2% | 1 | (*.f64 x x) |
| 98.2% | 1 | (*.f64 y y) |
| 98.2% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 98.2% | 1 | (*.f64 z z) |
| 98.2% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
11 calls:
| 24.0ms | (*.f64 z z) |
| 18.0ms | z |
| 11.0ms | (*.f64 x x) |
| 8.0ms | y |
| 8.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | x |
| 90.2% | 3 | y |
| 92.1% | 3 | z |
| 91.4% | 3 | t |
| 87.7% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 91.8% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 85.2% | 1 | (*.f64 x x) |
| 89.4% | 3 | (*.f64 y y) |
| 93.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 91.8% | 3 | (*.f64 z z) |
| 91.4% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.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 y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
1 calls:
| 35.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
11 calls:
| 20.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 9.0ms | (*.f64 y y) |
| 7.0ms | t |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | (*.f64 x x) |
| 83.8% | 3 | x |
| 84.4% | 3 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 81.5% | 3 | (*.f64 y y) |
| 81.5% | 3 | y |
| 84.7% | 3 | (*.f64 t t) |
| 84.7% | 3 | t |
| 83.8% | 3 | (*.f64 z z) |
| 87.2% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 84.2% | 3 | z |
| 88.1% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
1 calls:
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (*.f64 y (/.f64 y x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 x (/.f64 (*.f64 y y) x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 (/.f64 x y) x) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (/.f64 (*.f64 x x) y) y)) |
#s(approx (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
2 calls:
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 4.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 85.6% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
| Outputs |
|---|
#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 z t) (/.f64 z t))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 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 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
9 calls:
| 48.0ms | (*.f64 z z) |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 2 | x |
| 74.8% | 2 | (*.f64 x x) |
| 72.0% | 2 | (*.f64 z z) |
| 72.0% | 2 | z |
| 65.1% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 76.7% | 2 | t |
| 76.7% | 2 | (*.f64 t t) |
| 83.3% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 80.0% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 41 to 52 computations (-26.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (/.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 2.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 2 | y |
| 69.2% | 2 | (*.f64 y y) |
| 79.5% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 75.3% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 18 to 23 computations (-27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
11 calls:
| 37.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 56.7% | 1 | y |
| 56.7% | 1 | (*.f64 y y) |
| 56.7% | 1 | z |
| 56.7% | 1 | (*.f64 z z) |
| 56.7% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 56.7% | 1 | x |
| 56.7% | 1 | (*.f64 x x) |
| 56.7% | 1 | t |
| 56.7% | 1 | (*.f64 t t) |
| 56.7% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1362354277110011e+167 | 8.051192336463889e+170 |
| 0.0ms | 1.2415851906778938e-198 | 3.785756309446613e-192 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9356327977531177e-146 | 8.239519172099334e-131 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9356327977531177e-146 | 8.239519172099334e-131 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9356327977531177e-146 | 8.239519172099334e-131 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.205631388583136e-32 | 4.974967182481031e-29 |
Compiled 18 to 18 computations (0% saved)
| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | +inf | NaN |
| 12.0ms | 3.785756309446613e-192 | 1.1777342348987015e-183 |
| 7.0ms | 144× | 0 | valid |
| 5.0ms | 101× | 0 | invalid |
Compiled 108 to 153 computations (-41.7% saved)
ival-mult: 3.0ms (50.6% of total)ival-div: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 582 |
| 1 | 75 | 582 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #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 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #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 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5740878879676573/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) 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 z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 (*.f64 (/.f64 z t) z) t) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 x y) (/.f64 x y))) #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 2693189581592767/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #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 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #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 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5740878879676573/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) 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 z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (*.f64 (/.f64 x (*.f64 y y)) x)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 9 376× | lower-fma.f64 |
| 9 376× | lower-fma.f32 |
| 9 024× | lower-fma.f64 |
| 9 024× | lower-fma.f32 |
| 7 418× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 1128 |
| 1 | 60 | 1128 |
| 2 | 192 | 1128 |
| 3 | 823 | 1128 |
| 4 | 2853 | 1128 |
| 5 | 3973 | 1128 |
| 6 | 6262 | 1128 |
| 7 | 7756 | 1128 |
| 0 | 8060 | 1092 |
| 0 | 37 | 172 |
| 0 | 57 | 131 |
| 1 | 216 | 129 |
| 2 | 2329 | 129 |
| 0 | 8562 | 129 |
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8377 | 33 |
| 0 | 38 | 5124 |
| 1 | 75 | 5124 |
| 2 | 219 | 5124 |
| 3 | 876 | 5124 |
| 4 | 2920 | 5124 |
| 5 | 4200 | 5124 |
| 6 | 7372 | 5124 |
| 0 | 8157 | 4944 |
| 0 | 35 | 184 |
| 0 | 51 | 137 |
| 1 | 205 | 135 |
| 2 | 2141 | 135 |
| 0 | 8615 | 135 |
| 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× | node limit |
Compiled 826 to 378 computations (54.2% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 818 to 222 computations (72.9% saved)
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