
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 10 computations (28.6% saved)
| 485.0ms | 8 256× | 0 | valid |
ival-mult: 124.0ms (42% of total)ival-neg: 57.0ms (19.3% of total)ival-add: 55.0ms (18.6% of total)ival-div: 50.0ms (16.9% of total)ival-true: 6.0ms (2% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 0 | - | 2 | (-1.1428587530566115e-219 9.304856239730213e-288 -8.586873934168044e-33) | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 0 | 0 | - | 0 | - | t1 |
| 0 | 0 | - | 0 | - | (*.f64 (neg.f64 t1) v) |
| 0 | 0 | - | 0 | - | (neg.f64 t1) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
| 0 | 0 | - | 0 | - | (+.f64 t1 u) |
| 0 | 0 | - | 0 | - | u |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | o/o | 25 | 0 |
| ↳ | (*.f64 (neg.f64 t1) v) | overflow | 29 | |
| ↳ | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | overflow | 107 | |
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | n/o | 18 | 0 |
| ↳ | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | overflow | 107 | |
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | n/u | 9 | 0 |
| ↳ | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | underflow | 16 | |
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | u/n | 9 | 0 |
| ↳ | (*.f64 (neg.f64 t1) v) | underflow | 27 | |
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | o/n | 4 | 0 |
| ↳ | (*.f64 (neg.f64 t1) v) | overflow | 29 | |
/.f64 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | u/u | 3 | 0 |
| ↳ | (*.f64 (neg.f64 t1) v) | underflow | 27 | |
| ↳ | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | underflow | 16 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 68 | 2 |
| - | 0 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 68 | 0 | 2 |
| - | 0 | 0 | 186 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 68 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 81 to 28 computations (65.4% saved)
ival-mult: 7.0ms (44% of total)ival-div: 3.0ms (18.9% of total)ival-add: 3.0ms (18.9% of total)ival-neg: 2.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 064× | lower-fma.f64 |
| 2 064× | lower-fma.f32 |
| 1 616× | times-frac |
| 1 080× | unsub-neg |
| 880× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 109 |
| 1 | 179 | 105 |
| 2 | 651 | 103 |
| 3 | 2313 | 103 |
| 4 | 5734 | 103 |
| 5 | 7948 | 103 |
| 0 | 8 | 12 |
| 0 | 13 | 12 |
| 1 | 34 | 12 |
| 2 | 80 | 12 |
| 3 | 196 | 12 |
| 4 | 343 | 12 |
| 5 | 533 | 12 |
| 6 | 952 | 12 |
| 7 | 1745 | 12 |
| 8 | 2203 | 12 |
| 9 | 2731 | 12 |
| 10 | 3208 | 12 |
| 11 | 3335 | 12 |
| 12 | 3589 | 12 |
| 13 | 3633 | 12 |
| 14 | 3655 | 12 |
| 15 | 3675 | 12 |
| 16 | 3742 | 12 |
| 17 | 3766 | 12 |
| 18 | 3778 | 12 |
| 19 | 3780 | 12 |
| 20 | 3780 | 12 |
| 0 | 3780 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Outputs |
|---|
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) |
(negabs v)
Compiled 15 to 8 computations (46.7% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.9% | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | |
| cost-diff | 0 | (neg.f64 t1) | |
| cost-diff | 0 | (*.f64 (neg.f64 t1) v) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 2 064× | lower-fma.f64 |
| 2 064× | lower-fma.f32 |
| 880× | lower-*.f32 |
| 876× | lower-*.f64 |
| 568× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 34 | 31 |
| 2 | 80 | 31 |
| 3 | 196 | 31 |
| 4 | 343 | 31 |
| 5 | 533 | 31 |
| 6 | 952 | 31 |
| 7 | 1745 | 31 |
| 8 | 2203 | 31 |
| 9 | 2731 | 31 |
| 10 | 3208 | 31 |
| 11 | 3335 | 31 |
| 12 | 3589 | 31 |
| 13 | 3633 | 31 |
| 14 | 3655 | 31 |
| 15 | 3675 | 31 |
| 16 | 3742 | 31 |
| 17 | 3766 | 31 |
| 18 | 3778 | 31 |
| 19 | 3780 | 31 |
| 20 | 3780 | 31 |
| 0 | 3780 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(*.f64 (neg.f64 t1) v) |
(neg.f64 t1) |
t1 |
v |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
(+.f64 t1 u) |
u |
| Outputs |
|---|
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) |
(*.f64 (neg.f64 t1) v) |
(*.f64 t1 (neg.f64 v)) |
(neg.f64 t1) |
t1 |
v |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
(+.f64 t1 u) |
u |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (neg.f64 t1) v) | |
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | |
| accuracy | 15.924253085762665 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 15.0ms | 256× | 0 | valid |
Compiled 33 to 10 computations (69.7% saved)
ival-mult: 3.0ms (39.3% of total)ival-div: 2.0ms (26.2% of total)ival-add: 1.0ms (13.1% of total)ival-neg: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ()) |
#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor 0 u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) (taylor 0 u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) (taylor 0 u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) (taylor 0 u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor -inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf t1) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor 0 v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 v)) (taylor -inf v) (#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor 0 t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor 0 t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor 0 t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor 0 t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor -inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor -inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor -inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t1) (taylor -inf t1) (#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor 0 t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* t1 u)) (pow u 2)) (taylor 0 t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) (taylor 0 t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) (taylor 0 t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (pow t1 2) (taylor inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (* 2 (/ u t1)))) (taylor inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) (taylor inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) (taylor inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (pow t1 2) (taylor -inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (* 2 (/ u t1)))) (taylor -inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) (taylor -inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) (taylor -inf t1) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (pow t1 2) (taylor 0 u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* t1 u)) (pow t1 2)) (taylor 0 u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* u (+ u (* 2 t1))) (pow t1 2)) (taylor 0 u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* u (+ u (* 2 t1))) (pow t1 2)) (taylor 0 u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (* 2 (/ t1 u)))) (taylor inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) (taylor inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) (taylor inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (* 2 (/ t1 u)))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t1 | @ | inf | (* (+ t1 u) (+ t1 u)) |
| 1.0ms | v | @ | 0 | (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) |
| 1.0ms | u | @ | 0 | (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) |
| 1.0ms | t1 | @ | inf | (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) |
| 1.0ms | v | @ | inf | (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) |
| 1× | egg-herbie |
| 17 384× | lower-fma.f64 |
| 17 384× | lower-fma.f32 |
| 4 660× | lower-*.f64 |
| 4 660× | lower-*.f32 |
| 3 660× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 1167 |
| 1 | 690 | 1110 |
| 2 | 2300 | 1022 |
| 3 | 7292 | 1018 |
| 0 | 8297 | 976 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 (* t1 v)) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(pow u 2) |
(+ (* 2 (* t1 u)) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(pow t1 2) |
(+ (* 2 (* t1 u)) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
| Outputs |
|---|
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(*.f64 t1 (-.f64 (/.f64 (*.f64 v (*.f64 t1 #s(literal 2 binary64))) (*.f64 u (*.f64 u u))) (/.f64 v (*.f64 u u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 v (/.f64 #s(literal 2 binary64) (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 v #s(literal -3 binary64))) (pow.f64 u #s(literal 4 binary64)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 #s(literal 6 binary64) (/.f64 v (*.f64 u (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal -2 binary64)) (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 v #s(literal -3 binary64)) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* -1 (/ v t1)) |
(/.f64 (neg.f64 v) t1) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t1 t1)) (*.f64 u (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 u u)) t1))) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v)) t1) |
(* -1 (/ v t1)) |
(/.f64 (neg.f64 v) t1) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (*.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 v (*.f64 u #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 u (fma.f64 (/.f64 (*.f64 v (*.f64 u u)) t1) #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 u u)) t1))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) t1)) t1)) v) t1) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ v t1)) |
(/.f64 (neg.f64 v) t1) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(fma.f64 v (/.f64 (*.f64 (*.f64 u u) #s(literal -3 binary64)) (*.f64 t1 (*.f64 t1 t1))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(fma.f64 (*.f64 u u) (fma.f64 u (fma.f64 #s(literal 6 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))))) (/.f64 (*.f64 v #s(literal -3 binary64)) (*.f64 t1 (*.f64 t1 t1)))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u)) (*.f64 t1 v)) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 u u)) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) u) (/.f64 (*.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) u)) (-.f64 (fma.f64 (/.f64 v (*.f64 u u)) (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (*.f64 v (*.f64 #s(literal 2 binary64) (*.f64 t1 t1))) u)) (*.f64 t1 v))) (*.f64 u u)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 v) u)) (*.f64 #s(literal -2 binary64) (*.f64 t1 (*.f64 t1 v)))) u)) (*.f64 u u))) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 t1 (*.f64 t1 v))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 t1 (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64))) (*.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))))) u) (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)))) u)) u)) (*.f64 u u))) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 (* t1 v)) |
(*.f64 t1 (neg.f64 v)) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(pow u 2) |
(*.f64 u u) |
(+ (* 2 (* t1 u)) (pow u 2)) |
(*.f64 u (fma.f64 t1 #s(literal 2 binary64) u)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1)) |
(pow t1 2) |
(*.f64 t1 t1) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(*.f64 t1 (*.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64)))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(*.f64 (*.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(*.f64 (*.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64))) |
(pow t1 2) |
(*.f64 t1 t1) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(*.f64 t1 (*.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(*.f64 t1 (fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) (neg.f64 t1)) t1)) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(*.f64 t1 (fma.f64 t1 (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) (neg.f64 t1)) t1)) |
(pow t1 2) |
(*.f64 t1 t1) |
(+ (* 2 (* t1 u)) (pow t1 2)) |
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(fma.f64 u (fma.f64 t1 #s(literal 2 binary64) u) (*.f64 t1 t1)) |
(pow u 2) |
(*.f64 u u) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 #s(literal 2 binary64)) u) u)) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(*.f64 (*.f64 u u) (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(*.f64 (*.f64 u u) (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64))) |
(pow u 2) |
(*.f64 u u) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 #s(literal 2 binary64)) u) u)) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) (neg.f64 u)) u)) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(*.f64 u (fma.f64 u (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) (neg.f64 u)) u)) |
| 5 320× | lower-*.f32 |
| 5 316× | lower-*.f64 |
| 2 808× | lower-/.f32 |
| 2 806× | lower-/.f64 |
| 2 706× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 13 | 21 |
| 1 | 57 | 21 |
| 2 | 400 | 21 |
| 3 | 5115 | 21 |
| 0 | 8410 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(*.f64 (neg.f64 t1) v) |
(neg.f64 t1) |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 u (-.f64 u t1)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) (*.f64 t1 t1))) |
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) t1) (*.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (neg.f64 u))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))) |
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))))) |
(+.f64 (*.f64 t1 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))) (*.f64 (neg.f64 u) (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 t1 v)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (*.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
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(*.f64 (pow.f64 (-.f64 t1 u) #s(literal -2 binary64)) (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (-.f64 t1 u) (-.f64 t1 u)))) |
(*.f64 (exp.f64 (log.f64 (+.f64 t1 u))) (exp.f64 (log.f64 (+.f64 t1 u)))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1))))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u)) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u)))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (neg.f64 (-.f64 t1 u))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t1 u))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (-.f64 u t1)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 u t1)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (pow.f64 (-.f64 t1 u) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 t1 u) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 2 binary64)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) #s(literal 2 binary64)) (pow.f64 (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) #s(literal 2 binary64)) (pow.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (*.f64 (-.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 t1 u))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (-.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 t1 u) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (-.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (-.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (+.f64 t1 u)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (+.f64 t1 u)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 t1 (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (*.f64 t1 (*.f64 t1 (+.f64 t1 u)))) (*.f64 (*.f64 u (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (*.f64 u (*.f64 u (+.f64 t1 u)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 (*.f64 (+.f64 t1 u) (*.f64 t1 (+.f64 t1 u))) (*.f64 (*.f64 u (+.f64 t1 u)) (-.f64 (*.f64 u (+.f64 t1 u)) (*.f64 t1 (+.f64 t1 u)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (+.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (+.f64 t1 u))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (-.f64 u t1)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (fma.f64 u (*.f64 u u) (*.f64 t1 (*.f64 t1 t1)))) (*.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (+.f64 t1 u)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) #s(literal 1 binary64))) |
Compiled 13 815 to 1 497 computations (89.2% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 12 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 13 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
| 97.8% | (/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u))) | |
| 97.5% | (/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u))) | |
| ✓ | 74.9% | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| ▶ | 43.6% | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
| 83.9% | (/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (neg.f64 (+.f64 t1 u)))) | |
| 98.1% | (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) | |
| 78.0% | (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) | |
| 77.9% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) (neg.f64 v)) | |
| ▶ | 75.3% | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
| ▶ | 57.0% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
| 47.6% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) | |
| ▶ | 55.1% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
Compiled 359 to 202 computations (43.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) | |
| cost-diff | 0 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) | |
| cost-diff | 0 | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | |
| cost-diff | 0 | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) | |
| cost-diff | 192 | (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) | |
| cost-diff | 0 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| cost-diff | 0 | (neg.f64 t1) | |
| cost-diff | 0 | (*.f64 (neg.f64 t1) v) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| cost-diff | 0 | (neg.f64 v) | |
| cost-diff | 0 | (/.f64 (neg.f64 v) t1) | |
| cost-diff | 0 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) | |
| cost-diff | 0 | (+.f64 t1 u) | |
| cost-diff | 0 | (/.f64 v (+.f64 t1 u)) | |
| cost-diff | 128 | (neg.f64 (/.f64 (+.f64 t1 u) t1)) | |
| cost-diff | 640 | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
| 4 606× | lower-fma.f32 |
| 4 604× | lower-fma.f64 |
| 2 828× | lower-*.f32 |
| 2 816× | lower-*.f64 |
| 1 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 208 |
| 0 | 55 | 207 |
| 1 | 107 | 206 |
| 2 | 247 | 206 |
| 3 | 591 | 206 |
| 4 | 1199 | 201 |
| 5 | 2189 | 201 |
| 6 | 5200 | 201 |
| 0 | 8236 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(/.f64 v (+.f64 t1 u)) |
v |
(+.f64 t1 u) |
t1 |
u |
(neg.f64 (/.f64 (+.f64 t1 u) t1)) |
(/.f64 (+.f64 t1 u) t1) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
(/.f64 (neg.f64 v) t1) |
(neg.f64 v) |
v |
t1 |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (neg.f64 t1) v) |
(neg.f64 t1) |
t1 |
v |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
t1 |
(*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
v |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
(+.f64 t1 u) |
u |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
(/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) |
(fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) |
(/.f64 v t1) |
v |
t1 |
(*.f64 u #s(literal -2 binary64)) |
u |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 v (+.f64 t1 u)) |
v |
(+.f64 t1 u) |
t1 |
u |
(neg.f64 (/.f64 (+.f64 t1 u) t1)) |
(-.f64 #s(literal -1 binary64) (/.f64 u t1)) |
(/.f64 (+.f64 t1 u) t1) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1))) |
(/.f64 (neg.f64 v) t1) |
(/.f64 v (neg.f64 t1)) |
(neg.f64 v) |
v |
t1 |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (*.f64 v (neg.f64 t1)) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (neg.f64 t1) v) |
(*.f64 v (neg.f64 t1)) |
(neg.f64 t1) |
t1 |
v |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
t1 |
(*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) |
v |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
(+.f64 t1 u) |
u |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (*.f64 v (fma.f64 #s(literal 2 binary64) (/.f64 u t1) #s(literal -1 binary64))) t1)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
(/.f64 (*.f64 v (fma.f64 #s(literal 2 binary64) (/.f64 u t1) #s(literal -1 binary64))) t1) |
(/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) |
(/.f64 (fma.f64 v (*.f64 #s(literal -2 binary64) (/.f64 u t1)) v) t1) |
(fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) |
(fma.f64 v (*.f64 #s(literal -2 binary64) (/.f64 u t1)) v) |
(/.f64 v t1) |
v |
t1 |
(*.f64 u #s(literal -2 binary64)) |
(-.f64 (neg.f64 u) u) |
u |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) | |
| accuracy | 1.0027128583015783 | (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) | |
| accuracy | 3.928352242593304 | (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) | |
| accuracy | 28.368993648531365 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 t1 u) (+.f64 t1 u)) | |
| accuracy | 0.2454381066824837 | (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) | |
| accuracy | 6.258183613446828 | (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) | |
| accuracy | 10.211555399262311 | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) | |
| accuracy | 0 | (*.f64 u u) | |
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 15.924253085762665 | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| accuracy | 28.855266167047144 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| accuracy | 0 | (/.f64 (neg.f64 v) t1) | |
| accuracy | 0 | (neg.f64 v) | |
| accuracy | 27.488621342759007 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) | |
| accuracy | 0 | (neg.f64 (/.f64 (+.f64 t1 u) t1)) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 t1 u) t1) | |
| accuracy | 0.0078125 | (/.f64 v (+.f64 t1 u)) | |
| accuracy | 1.2346040814739654 | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
| 63.0ms | 256× | 0 | valid |
Compiled 188 to 28 computations (85.1% saved)
ival-div: 14.0ms (41.9% of total)ival-mult: 11.0ms (33% of total)ival-neg: 5.0ms (15% of total)ival-add: 3.0ms (9% 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 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ()) |
#s(alt (/.f64 v (+.f64 t1 u)) (patch (/.f64 v (+.f64 t1 u)) #<representation binary64>) () ()) |
#s(alt (+.f64 t1 u) (patch (+.f64 t1 u) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) (patch #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 v) t1) (patch (/.f64 (neg.f64 v) t1) #<representation binary64>) () ()) |
#s(alt (neg.f64 v) (patch (neg.f64 v) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (patch (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t1) v) (patch (*.f64 (neg.f64 t1) v) #<representation binary64>) () ()) |
#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (patch #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) #<representation binary64>) () ()) |
#s(alt (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (patch (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #<representation binary64>) () ()) |
#s(alt (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (patch (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (patch (*.f64 (+.f64 t1 u) (+.f64 t1 u)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) (patch #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) (patch (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ()) |
#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor 0 v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor -inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor -inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor -inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) (taylor -inf v) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor 0 t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) (taylor 0 t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) (taylor 0 t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) (taylor 0 t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) (taylor inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) (taylor inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) (taylor inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor -inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor 0 u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) (taylor 0 u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) (taylor 0 u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) (taylor 0 u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor -inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ u t1)) (taylor 0 t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 t1) u) t1) (taylor 0 t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 t1) u) t1) (taylor 0 t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 t1) u) t1) (taylor 0 t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ u t1)) 1) (taylor inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ u t1)) 1) (taylor inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ u t1)) 1) (taylor inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ u t1)) 1) (taylor -inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ u t1)) 1) (taylor -inf t1) (#s(alt (neg.f64 (/.f64 (+.f64 t1 u) t1)) (patch (neg.f64 (/.f64 (+.f64 t1 u) t1)) #<representation binary64>) () ())) ()) |
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#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor 0 v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor 0 v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor 0 v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* v (+ 1 (* -2 (/ u t1)))) (taylor inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- (* 2 (/ u t1)) 1))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- (* 2 (/ u t1)) 1))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- (* 2 (/ u t1)) 1))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (- (* 2 (/ u t1)) 1))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* u v) t1)) (taylor 0 t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* u v)) (* t1 v)) t1) (taylor 0 t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* u v)) (* t1 v)) t1) (taylor 0 t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* u v)) (* t1 v)) t1) (taylor 0 t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt v (taylor inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt v (taylor -inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor -inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor -inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor -inf t1) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor 0 u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor 0 u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -2 (/ (* u v) t1))) (taylor 0 u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* u v) t1)) (taylor inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (* -2 (/ v t1)) (/ v u))) (taylor inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (* -2 (/ v t1)) (/ v u))) (taylor inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (* -2 (/ v t1)) (/ v u))) (taylor inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* u v) t1)) (taylor -inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) (taylor -inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) (taylor -inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) (taylor -inf u) (#s(alt (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) (patch (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ u t1) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) t1) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) t1) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) t1) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ u t1)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (/ u t1) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (/ u t1) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 t1) (/ 1 u))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) t1) (patch (/.f64 (+.f64 t1 u) t1) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor 0 u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor 0 u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor 0 u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor 0 u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor -inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor -inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor -inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
#s(alt (pow u 2) (taylor -inf u) (#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | (/ (neg v) t1) |
| 2.0ms | t1 | @ | -inf | (/ -1 (* (+ t1 u) (+ t1 u))) |
| 1.0ms | v | @ | 0 | (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) |
| 1.0ms | v | @ | 0 | (neg (/ (+ (* (/ v t1) (* u -2)) v) t1)) |
| 1.0ms | v | @ | inf | (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) |
| 1× | egg-herbie |
| 9 858× | lower-fma.f64 |
| 9 858× | lower-fma.f32 |
| 5 324× | lower-*.f64 |
| 5 324× | lower-*.f32 |
| 3 110× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 636 | 7694 |
| 1 | 2033 | 7356 |
| 2 | 6586 | 7254 |
| 0 | 8405 | 6891 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(* -1 (/ u t1)) |
(/ (- (* -1 t1) u) t1) |
(/ (- (* -1 t1) u) t1) |
(/ (- (* -1 t1) u) t1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(* -1 (/ u t1)) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
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(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(/ -1 (pow u 2)) |
(- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2))) |
(- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))) |
(- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))) |
(/ -1 (pow t1 2)) |
(/ (- (* 2 (/ u t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) (pow t1 2)) |
(/ (- (* -1 (/ (+ (* -2 (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2))))) (* 2 (pow u 3))) (pow t1 3))) (+ 1 (+ (* -2 (/ u t1)) (+ (* -1 (/ (pow u 2) (pow t1 2))) (* 4 (/ (pow u 2) (pow t1 2))))))) (pow t1 2)) |
(/ -1 (pow t1 2)) |
(/ (- (* 2 (/ u t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow u 2) t1)) (* 4 (/ (pow u 2) t1))) (* 2 u)) t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow u 3) t1)) (* 2 (/ (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1))) (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1)) (* 2 u)) t1)) 1) (pow t1 2)) |
(/ -1 (pow t1 2)) |
(- (* 2 (/ u (pow t1 3))) (/ 1 (pow t1 2))) |
(- (* u (+ (* -3 (/ u (pow t1 4))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2))) |
(- (* u (+ (* u (- (* 4 (/ u (pow t1 5))) (* 3 (/ 1 (pow t1 4))))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2))) |
(/ -1 (pow u 2)) |
(/ (- (* 2 (/ t1 u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))) (pow u 2))) (+ 1 (* -2 (/ t1 u)))) (pow u 2)) |
(/ (- (* -1 (/ (+ (* -2 (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))))) (* 2 (pow t1 3))) (pow u 3))) (+ 1 (+ (* -2 (/ t1 u)) (+ (* -1 (/ (pow t1 2) (pow u 2))) (* 4 (/ (pow t1 2) (pow u 2))))))) (pow u 2)) |
(/ -1 (pow u 2)) |
(/ (- (* 2 (/ t1 u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow t1 2) u)) (* 4 (/ (pow t1 2) u))) (* 2 t1)) u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow t1 3) u)) (* 2 (/ (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u))) (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u)) (* 2 t1)) u)) 1) (pow u 2)) |
(pow u 2) |
(+ (* 2 (* t1 u)) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(pow t1 2) |
(+ (* 2 (* t1 u)) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (+ (* -2 (/ u (pow t1 2))) (/ 1 t1)))) |
(* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2)))))) |
(* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2)))))) |
(* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2)))))) |
(* -1 (* v (- (/ 1 t1) (* 2 (/ u (pow t1 2)))))) |
(* 2 (/ (* u v) (pow t1 2))) |
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2)) |
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2)) |
(/ (- (* -1 (* t1 v)) (* -2 (* u v))) (pow t1 2)) |
(* -1 (/ v t1)) |
(/ (- (* 2 (/ (* u v) t1)) v) t1) |
(/ (- (* 2 (/ (* u v) t1)) v) t1) |
(/ (- (* 2 (/ (* u v) t1)) v) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1)) |
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1)) |
(* -1 (/ (- (* -2 (/ (* u v) t1)) (* -1 v)) t1)) |
(* -1 (/ v t1)) |
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(- (* 2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(* 2 (/ (* u v) (pow t1 2))) |
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2))))) |
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2))))) |
(* u (- (* -1 (/ v (* t1 u))) (* -2 (/ v (pow t1 2))))) |
(* 2 (/ (* u v) (pow t1 2))) |
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2)))))) |
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2)))))) |
(* -1 (* u (- (/ v (* t1 u)) (* 2 (/ v (pow t1 2)))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(/ (* v (+ 1 (* -2 (/ u t1)))) t1) |
(* -1 (/ (* v (- (* 2 (/ u t1)) 1)) t1)) |
(* -1 (/ (* v (- (* 2 (/ u t1)) 1)) t1)) |
(* -1 (/ (* v (- (* 2 (/ u t1)) 1)) t1)) |
(* -1 (/ (* v (- (* 2 (/ u t1)) 1)) t1)) |
(* -2 (/ (* u v) (pow t1 2))) |
(/ (+ (* -2 (* u v)) (* t1 v)) (pow t1 2)) |
(/ (+ (* -2 (* u v)) (* t1 v)) (pow t1 2)) |
(/ (+ (* -2 (* u v)) (* t1 v)) (pow t1 2)) |
(/ v t1) |
(/ (+ v (* -2 (/ (* u v) t1))) t1) |
(/ (+ v (* -2 (/ (* u v) t1))) t1) |
(/ (+ v (* -2 (/ (* u v) t1))) t1) |
(/ v t1) |
(* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)) |
(/ v t1) |
(+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(+ (* -2 (/ (* u v) (pow t1 2))) (/ v t1)) |
(* -2 (/ (* u v) (pow t1 2))) |
(* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))) |
(* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))) |
(* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))) |
(* -2 (/ (* u v) (pow t1 2))) |
(* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))) |
(* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))) |
(* -1 (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* v (+ 1 (* -2 (/ u t1)))) |
(* -1 (* v (- (* 2 (/ u t1)) 1))) |
(* -1 (* v (- (* 2 (/ u t1)) 1))) |
(* -1 (* v (- (* 2 (/ u t1)) 1))) |
(* -1 (* v (- (* 2 (/ u t1)) 1))) |
(* -2 (/ (* u v) t1)) |
(/ (+ (* -2 (* u v)) (* t1 v)) t1) |
(/ (+ (* -2 (* u v)) (* t1 v)) t1) |
(/ (+ (* -2 (* u v)) (* t1 v)) t1) |
v |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
v |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
v |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
(+ v (* -2 (/ (* u v) t1))) |
(* -2 (/ (* u v) t1)) |
(* u (+ (* -2 (/ v t1)) (/ v u))) |
(* u (+ (* -2 (/ v t1)) (/ v u))) |
(* u (+ (* -2 (/ v t1)) (/ v u))) |
(* -2 (/ (* u v) t1)) |
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) |
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) |
(* -1 (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))) |
(/ u t1) |
(/ (+ t1 u) t1) |
(/ (+ t1 u) t1) |
(/ (+ t1 u) t1) |
1 |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
1 |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
1 |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
(+ 1 (/ u t1)) |
(/ u t1) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(/ u t1) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
(pow u 2) |
| Outputs |
|---|
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(neg.f64 (*.f64 t1 (/.f64 v (*.f64 u u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(*.f64 t1 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v t1) #s(literal 2 binary64)) u) v) (*.f64 u u))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(*.f64 t1 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v t1) #s(literal 2 binary64)) u) v) (*.f64 u u)) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 (*.f64 u u) (*.f64 u u))) (*.f64 t1 t1)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(*.f64 t1 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 v t1) #s(literal 2 binary64)) u) v) (*.f64 u u)) (*.f64 (fma.f64 (/.f64 v (*.f64 (*.f64 u u) (*.f64 u u))) #s(literal -3 binary64) (*.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (*.f64 (*.f64 u u) (*.f64 u u))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))))) (*.f64 t1 t1)))) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/.f64 (*.f64 (neg.f64 v) (fma.f64 u #s(literal -2 binary64) t1)) (*.f64 t1 t1)) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/.f64 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 v (*.f64 u (/.f64 u (*.f64 t1 t1))) (*.f64 v (fma.f64 (/.f64 u t1) #s(literal 2 binary64) #s(literal -1 binary64))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(/.f64 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (/.f64 u (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 v (*.f64 u (/.f64 u (*.f64 t1 t1))) (*.f64 v (fma.f64 (/.f64 u t1) #s(literal 2 binary64) #s(literal -1 binary64)))))) t1) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(/.f64 (*.f64 (neg.f64 v) (fma.f64 u #s(literal -2 binary64) t1)) (*.f64 t1 t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v u) (*.f64 (*.f64 v (/.f64 (*.f64 u u) t1)) #s(literal -3 binary64))) t1)) (neg.f64 t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v u) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 u (*.f64 (*.f64 v (/.f64 (*.f64 u u) t1)) #s(literal -3 binary64)) (*.f64 u (*.f64 v (/.f64 (*.f64 u u) t1)))) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) (neg.f64 t1))) t1)) (neg.f64 t1)) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
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(*.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v t1) (/.f64 v u))) |
(/ u t1) |
(/.f64 u t1) |
(/ (+ t1 u) t1) |
(/.f64 (+.f64 u t1) t1) |
(/ (+ t1 u) t1) |
(/.f64 (+.f64 u t1) t1) |
(/ (+ t1 u) t1) |
(/.f64 (+.f64 u t1) t1) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(+ 1 (/ u t1)) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(/ u t1) |
(/.f64 u t1) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(/ u t1) |
(/.f64 u t1) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(* u (+ (/ 1 t1) (/ 1 u))) |
(+.f64 #s(literal 1 binary64) (/.f64 u t1)) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
(pow u 2) |
(*.f64 u u) |
| 5 202× | lower-*.f32 |
| 5 190× | lower-*.f64 |
| 4 824× | lower-fma.f32 |
| 4 822× | lower-fma.f64 |
| 3 690× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 183 |
| 0 | 55 | 168 |
| 1 | 183 | 162 |
| 2 | 1216 | 162 |
| 0 | 8603 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(neg.f64 (/.f64 (+.f64 t1 u) t1)) |
(/.f64 v (+.f64 t1 u)) |
(+.f64 t1 u) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
(/.f64 (neg.f64 v) t1) |
(neg.f64 v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (neg.f64 t1) v) |
(neg.f64 t1) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(*.f64 (+.f64 t1 u) (+.f64 t1 u)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1) |
(fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) |
(/.f64 (+.f64 t1 u) t1) |
(*.f64 u u) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)))) |
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1))) |
(+.f64 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(+.f64 (*.f64 t1 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (*.f64 (neg.f64 u) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 t1) u) t1)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 t1))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v))) |
(fma.f64 t1 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (*.f64 (neg.f64 u) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))))) |
(fma.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(fma.f64 (*.f64 u (-.f64 u t1)) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 t1 t1) (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(fma.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(fma.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)))) |
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)) (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1))) |
(fma.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1 (*.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u))) |
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(neg.f64 (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (+.f64 t1 u) v))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v (neg.f64 t1)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 v))) |
(neg.f64 (/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (+.f64 t1 u))) |
(neg.f64 (/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (-.f64 (neg.f64 t1) u))) |
(/.f64 v (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 t1))) |
(/.f64 t1 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (neg.f64 v))) |
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) t1)) |
(/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1))) |
(/.f64 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) t1)) |
(/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) t1)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1)))) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) |
(/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 (+.f64 t1 u) v)) |
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (-.f64 (neg.f64 t1) u) v)) |
(/.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (+.f64 t1 u)) |
(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1)) |
(/.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v (neg.f64 t1))) #s(literal -1 binary64)) |
(*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 v (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (+.f64 t1 u))) |
(*.f64 t1 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 t1 (-.f64 (neg.f64 t1) u))) |
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))) |
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1))) |
(*.f64 (neg.f64 v) (neg.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (neg.f64 t1) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (*.f64 v (neg.f64 t1)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 v (/.f64 #s(literal 1 binary64) t1))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v (neg.f64 t1)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 t1 (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) |
(*.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 t1 (+.f64 t1 u))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (*.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 v (+.f64 t1 u))) |
(*.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (-.f64 (neg.f64 t1) u))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) t1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) t1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 t1 (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v (neg.f64 t1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 v t1)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 v (/.f64 #s(literal -1 binary64) t1))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (neg.f64 t1) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal -1 binary64) t1))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))) |
(*.f64 (*.f64 t1 (/.f64 v (-.f64 (neg.f64 t1) u))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) #s(literal -1 binary64))) |
(*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (neg.f64 t1)) |
(*.f64 (neg.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (neg.f64 v)) |
(*.f64 (*.f64 t1 (/.f64 v (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) (+.f64 t1 u))) |
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(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)) (neg.f64 v)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (*.f64 u u)) #s(literal -8 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v (*.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 u u) #s(literal 4 binary64))) (*.f64 t1 t1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (*.f64 u u)) #s(literal -8 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 u (*.f64 #s(literal -2 binary64) (/.f64 v t1))) (fma.f64 u (*.f64 #s(literal -2 binary64) (/.f64 v t1)) (neg.f64 v)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 u u) #s(literal 4 binary64))) (*.f64 t1 t1)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)) v))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (*.f64 u u)) #s(literal -8 binary64)) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 v (+.f64 v (*.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 u u) #s(literal 4 binary64))) (*.f64 t1 t1)))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 u u) #s(literal 4 binary64))) (*.f64 t1 t1)) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)) v))) |
(*.f64 (-.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 u u) #s(literal 4 binary64))) (*.f64 t1 t1))) (/.f64 #s(literal 1 binary64) (+.f64 v (*.f64 #s(literal 2 binary64) (*.f64 u (/.f64 v t1)))))) |
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) u) (*.f64 (/.f64 #s(literal 1 binary64) t1) t1)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) t1) (*.f64 (/.f64 #s(literal 1 binary64) t1) u)) |
(+.f64 (*.f64 t1 (/.f64 #s(literal 1 binary64) t1)) (*.f64 u (/.f64 #s(literal 1 binary64) t1))) |
(+.f64 (*.f64 u (/.f64 #s(literal 1 binary64) t1)) (*.f64 t1 (/.f64 #s(literal 1 binary64) t1))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t1 (+.f64 t1 u))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 t1) u) t1)) |
(-.f64 (/.f64 (/.f64 (*.f64 t1 t1) (-.f64 t1 u)) t1) (/.f64 (/.f64 (*.f64 u u) (-.f64 t1 u)) t1)) |
(-.f64 (/.f64 (*.f64 t1 t1) (*.f64 t1 (-.f64 t1 u))) (/.f64 (*.f64 u u) (*.f64 t1 (-.f64 t1 u)))) |
(fma.f64 t1 (/.f64 #s(literal 1 binary64) t1) (*.f64 u (/.f64 #s(literal 1 binary64) t1))) |
(fma.f64 u (/.f64 #s(literal 1 binary64) t1) (*.f64 t1 (/.f64 #s(literal 1 binary64) t1))) |
(fma.f64 (/.f64 #s(literal 1 binary64) t1) t1 (*.f64 (/.f64 #s(literal 1 binary64) t1) u)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t1) u (*.f64 (/.f64 #s(literal 1 binary64) t1) t1)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 t1) u) t1)) |
(/.f64 (+.f64 t1 u) t1) |
(/.f64 #s(literal -1 binary64) (/.f64 t1 (-.f64 (neg.f64 t1) u))) |
(/.f64 (-.f64 (neg.f64 t1) u) (neg.f64 t1)) |
(/.f64 #s(literal 1 binary64) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 t1 u)) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 t1 u) t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) t1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t1 u) (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) t1))) |
(/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (*.f64 t1 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1)) |
(/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (neg.f64 (*.f64 (neg.f64 t1) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))))) |
(/.f64 (/.f64 #s(literal 1 binary64) t1) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))) |
(/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 t1 (-.f64 t1 u))) |
(/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (-.f64 t1 u) t1)) |
(/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (neg.f64 (neg.f64 (*.f64 t1 (-.f64 t1 u))))) |
(/.f64 (neg.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (neg.f64 t1) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(/.f64 (neg.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (neg.f64 (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1))) |
(/.f64 (*.f64 (+.f64 t1 u) (neg.f64 (-.f64 t1 u))) (neg.f64 (*.f64 t1 (-.f64 t1 u)))) |
(/.f64 (*.f64 (+.f64 t1 u) (neg.f64 (-.f64 t1 u))) (neg.f64 (*.f64 (-.f64 t1 u) t1))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1)))) (neg.f64 (fma.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1))) (/.f64 (-.f64 (neg.f64 t1) u) t1)) |
(/.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) t1) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) |
(/.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) t1) (-.f64 t1 u)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1))))) (fma.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1)))) (/.f64 (+.f64 t1 u) t1)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) t1)) (neg.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) t1)) (neg.f64 (-.f64 t1 u))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 (neg.f64 t1) u) t1) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1) #s(literal 0 binary64))) |
(pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64)) |
(*.f64 (+.f64 t1 u) (/.f64 #s(literal 1 binary64) t1)) |
(*.f64 (/.f64 (+.f64 t1 u) t1) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (-.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (/.f64 (-.f64 (neg.f64 t1) u) t1) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 t1) u) t1)) |
(*.f64 (-.f64 (neg.f64 t1) u) (/.f64 #s(literal -1 binary64) t1)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) t1)) |
(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (/.f64 #s(literal 1 binary64) (*.f64 t1 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))))) |
(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1))) |
(*.f64 (/.f64 #s(literal 1 binary64) t1) (+.f64 t1 u)) |
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (*.f64 t1 (-.f64 t1 u)))) |
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t1 u) t1))) |
(*.f64 (/.f64 #s(literal -1 binary64) t1) (-.f64 (neg.f64 t1) u)) |
(*.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) t1) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) t1) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (pow.f64 (/.f64 t1 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (pow.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (/.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) t1) (/.f64 (+.f64 t1 u) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal -1 binary64) t1)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(exp.f64 (*.f64 (log.f64 u) #s(literal 2 binary64))) |
(pow.f64 u #s(literal 2 binary64)) |
(pow.f64 (*.f64 u u) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 u)) #s(literal 2 binary64)) |
(*.f64 u u) |
(*.f64 (exp.f64 (log.f64 u)) (exp.f64 (log.f64 u))) |
Compiled 42 103 to 4 332 computations (89.7% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 982 | 11 | 1 993 |
| Fresh | 5 | 2 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 989 | 17 | 2 006 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 #s(approx (/ (+ t1 u) t1) (/.f64 u t1)))) | |
| 66.6% | (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) | |
| 97.5% | (/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u))) | |
| ✓ | 74.9% | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| ✓ | 43.6% | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
| 47.7% | (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) | |
| ▶ | 83.9% | (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
| ▶ | 98.1% | (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
| ▶ | 47.6% | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
| ▶ | 44.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
| 44.4% | (*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) | |
| 47.6% | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) | |
| 93.9% | #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) | |
| ✓ | 57.0% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
| 56.8% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) | |
| ▶ | 56.9% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
| ✓ | 55.1% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
Compiled 386 to 229 computations (40.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 t1 u) | |
| cost-diff | 0 | (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) | |
| cost-diff | 0 | (neg.f64 t1) | |
| cost-diff | 384 | (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) | |
| cost-diff | 0 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) | |
| cost-diff | 0 | (*.f64 u u) | |
| cost-diff | 0 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| cost-diff | 0 | (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| cost-diff | 0 | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t1) | |
| cost-diff | 0 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) t1) v) | |
| cost-diff | 0 | (+.f64 t1 u) | |
| cost-diff | 0 | (neg.f64 v) | |
| cost-diff | 0 | (/.f64 (neg.f64 v) (+.f64 t1 u)) | |
| cost-diff | 384 | (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
| 5 680× | lower-fma.f64 |
| 5 680× | lower-fma.f32 |
| 2 112× | lower-*.f32 |
| 2 098× | lower-*.f64 |
| 1 416× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 209 |
| 0 | 46 | 205 |
| 1 | 94 | 203 |
| 2 | 240 | 203 |
| 3 | 588 | 203 |
| 4 | 1117 | 203 |
| 5 | 1924 | 203 |
| 6 | 3114 | 203 |
| 7 | 4970 | 203 |
| 8 | 6020 | 203 |
| 9 | 6589 | 203 |
| 10 | 6850 | 203 |
| 11 | 6868 | 203 |
| 12 | 6878 | 203 |
| 13 | 6882 | 203 |
| 14 | 6914 | 203 |
| 15 | 7000 | 203 |
| 16 | 7120 | 203 |
| 17 | 7120 | 203 |
| 18 | 7120 | 203 |
| 19 | 7608 | 203 |
| 20 | 7828 | 203 |
| 21 | 7970 | 203 |
| 22 | 7970 | 203 |
| 23 | 7970 | 203 |
| 24 | 7970 | 203 |
| 25 | 7970 | 203 |
| 0 | 7970 | 203 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 v) (+.f64 t1 u)) |
(neg.f64 v) |
v |
(+.f64 t1 u) |
t1 |
u |
(/.f64 t1 (+.f64 t1 u)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(*.f64 (/.f64 #s(literal -1 binary64) t1) v) |
(/.f64 #s(literal -1 binary64) t1) |
#s(literal -1 binary64) |
t1 |
v |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
v |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(neg.f64 t1) |
t1 |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(literal 1 binary64) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(neg.f64 t1) |
t1 |
v |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(neg.f64 t1) |
t1 |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(+.f64 t1 u) |
u |
(/.f64 (+.f64 t1 u) v) |
v |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(/.f64 (neg.f64 v) (+.f64 t1 u)) |
(/.f64 v (-.f64 (neg.f64 t1) u)) |
(neg.f64 v) |
v |
(+.f64 t1 u) |
t1 |
u |
(/.f64 t1 (+.f64 t1 u)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1))) |
(*.f64 (/.f64 #s(literal -1 binary64) t1) v) |
(/.f64 v (neg.f64 t1)) |
(/.f64 #s(literal -1 binary64) t1) |
#s(literal -1 binary64) |
t1 |
v |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(/.f64 (*.f64 v (neg.f64 t1)) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
v |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(neg.f64 t1) |
t1 |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(/.f64 (*.f64 v (neg.f64 t1)) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(literal 1 binary64) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
(neg.f64 t1) |
t1 |
v |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(neg.f64 t1) |
t1 |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(+.f64 t1 u) |
u |
(/.f64 (+.f64 t1 u) v) |
v |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 t1 u) v) | |
| accuracy | 0.10546875 | (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) | |
| accuracy | 10.280739320656773 | (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) | |
| accuracy | 0.2454381066824837 | (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| accuracy | 4.017337380072462 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) | |
| accuracy | 17.842415855999207 | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) | |
| accuracy | 28.855266167047184 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 6.375336585577334 | (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| accuracy | 10.211555399262311 | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) | |
| accuracy | 28.855266167047184 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) t1) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -1 binary64) t1) v) | |
| accuracy | 27.488621342759007 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) | |
| accuracy | 0 | (+.f64 t1 u) | |
| accuracy | 0 | (neg.f64 v) | |
| accuracy | 0.0078125 | (/.f64 (neg.f64 v) (+.f64 t1 u)) | |
| accuracy | 1.2362253217055235 | (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
| 58.0ms | 256× | 0 | valid |
Compiled 177 to 27 computations (84.7% saved)
ival-div: 24.0ms (57.7% of total)ival-mult: 13.0ms (31.3% of total)ival-neg: 3.0ms (7.2% of total)ival-add: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 v) (+.f64 t1 u)) (patch (/.f64 (neg.f64 v) (+.f64 t1 u)) #<representation binary64>) () ()) |
#s(alt (neg.f64 v) (patch (neg.f64 v) #<representation binary64>) () ()) |
#s(alt (+.f64 t1 u) (patch (+.f64 t1 u) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) t1) v) (patch (*.f64 (/.f64 #s(literal -1 binary64) t1) v) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) (patch #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t1) (patch (/.f64 #s(literal -1 binary64) t1) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) (patch (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) #<representation binary64>) () ()) |
#s(alt (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (patch (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (patch #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) #<representation binary64>) () ()) |
#s(alt (*.f64 u u) (patch (*.f64 u u) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) (patch (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) #<representation binary64>) () ()) |
#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor 0 t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) (taylor 0 t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) (taylor 0 t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) (taylor 0 t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) (taylor inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) (taylor inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) (taylor inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor -inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) (taylor -inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor 0 u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) (taylor 0 u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) (taylor 0 u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) (taylor 0 u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) (taylor inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) (taylor inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor -inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor -inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) (taylor -inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) (taylor -inf u) (#s(alt (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow u 2) v) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) (taylor -inf u) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor 0 v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor 0 v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor 0 v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor 0 v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) (patch (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) #<representation binary64>) () ())) ()) |
#s(alt (/ u v) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ t1 v) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (/ 1 v) (/ u (* t1 v)))) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (/ 1 v) (/ u (* t1 v)))) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (/ 1 v) (/ u (* t1 v)))) (taylor inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ t1 v) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) (taylor -inf t1) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ t1 v) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ t1 v) (/ u v)) (taylor 0 u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ u v) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 v) (/ t1 (* u v)))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 v) (/ t1 (* u v)))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* u (+ (/ 1 v) (/ t1 (* u v)))) (taylor inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ u v) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) (taylor -inf u) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor 0 v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor 0 v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor 0 v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor 0 v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor -inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor -inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor -inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ t1 u) v) (taylor -inf v) (#s(alt (/.f64 (+.f64 t1 u) v) (patch (/.f64 (+.f64 t1 u) v) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | u | @ | 0 | (/ (+ t1 u) v) |
| 5.0ms | t1 | @ | 0 | (* (/ 1 (* (+ t1 u) (+ t1 u))) (neg t1)) |
| 1.0ms | u | @ | inf | (* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u))) |
| 1.0ms | u | @ | 0 | (* (+ t1 u) (/ (+ t1 u) v)) |
| 0.0ms | u | @ | inf | (* (/ 1 (* (+ t1 u) (+ t1 u))) (neg t1)) |
| 1× | egg-herbie |
| 9 022× | lower-fma.f64 |
| 9 022× | lower-fma.f32 |
| 5 268× | lower-*.f64 |
| 5 268× | lower-*.f32 |
| 3 846× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 719 | 7196 |
| 1 | 2229 | 6831 |
| 2 | 7243 | 6794 |
| 0 | 8180 | 6511 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v (+ t1 u))) |
(* -1 (/ v u)) |
(+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2))) |
(+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))) |
(+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (/ (* u v) t1)) t1) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2))) |
(+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2))))) |
(+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2))))) |
(* -1 (/ v u)) |
(/ (+ (* -1 v) (/ (* t1 v) u)) u) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u) |
(* -1 (/ v u)) |
(* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u)) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
(* -1 v) |
u |
(+ t1 u) |
(+ t1 u) |
(+ t1 u) |
t1 |
(* t1 (+ 1 (/ u t1))) |
(* t1 (+ 1 (/ u t1))) |
(* t1 (+ 1 (/ u t1))) |
t1 |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
t1 |
(+ t1 u) |
(+ t1 u) |
(+ t1 u) |
u |
(* u (+ 1 (/ t1 u))) |
(* u (+ 1 (/ t1 u))) |
(* u (+ 1 (/ t1 u))) |
u |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
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(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
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(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(/ (pow u 2) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow u 2) v)) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(/ (pow t1 2) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(/ (pow t1 2) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(/ (pow t1 2) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow t1 2) v)) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(/ (pow u 2) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(/ (pow u 2) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ u v) |
(+ (/ t1 v) (/ u v)) |
(+ (/ t1 v) (/ u v)) |
(+ (/ t1 v) (/ u v)) |
(/ t1 v) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(/ t1 v) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(/ t1 v) |
(+ (/ t1 v) (/ u v)) |
(+ (/ t1 v) (/ u v)) |
(+ (/ t1 v) (/ u v)) |
(/ u v) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(/ u v) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
(/ (+ t1 u) v) |
| Outputs |
|---|
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(*.f64 t1 (fma.f64 t1 (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (*.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u))))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 #s(literal -2 binary64) (/.f64 v (pow.f64 u #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 v (pow.f64 u #s(literal 4 binary64)))) u)) (*.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 v (*.f64 u (*.f64 u u))))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v)) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/.f64 (fma.f64 (*.f64 v (*.f64 u u)) (/.f64 #s(literal -4 binary64) (*.f64 t1 t1)) (fma.f64 (*.f64 u u) (/.f64 v (*.f64 t1 t1)) (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v)))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 v (*.f64 u u)) (*.f64 t1 t1)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (/.f64 u (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 (*.f64 u u) (/.f64 v (*.f64 t1 t1)) (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v))))) t1) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 v u) (/.f64 #s(literal -2 binary64) t1) v) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v u) (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1)) t1)) (neg.f64 t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 v (/.f64 (*.f64 u (*.f64 u u)) t1) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 v (*.f64 u (*.f64 u u)))) t1)) (*.f64 #s(literal 3 binary64) (*.f64 v (*.f64 u u)))) t1)) t1)) (neg.f64 t1)) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(/.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal 2 binary64)) (neg.f64 v)) t1) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(fma.f64 u (fma.f64 u (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1))) (/.f64 v (neg.f64 t1))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(fma.f64 u (fma.f64 u (fma.f64 (*.f64 u #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (*.f64 t1 (*.f64 t1 t1))) t1) (/.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1))))) (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1))) (/.f64 v (neg.f64 t1))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (-.f64 (fma.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u u)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t1 (*.f64 t1 v))) u)) (*.f64 t1 v))) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) #s(literal -3 binary64)) (/.f64 t1 (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v)))) (*.f64 u (*.f64 u u)))) (-.f64 (fma.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u u)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t1 (*.f64 t1 v))) u)) (*.f64 t1 v)))) (*.f64 u u)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t1 (*.f64 t1 v)) u) (*.f64 t1 (neg.f64 v))) (*.f64 u u)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 v (*.f64 t1 (*.f64 t1 #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 t1 (*.f64 t1 (*.f64 t1 v)))) u)) u))) (*.f64 u u)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (-.f64 (*.f64 v (*.f64 t1 (*.f64 t1 #s(literal -2 binary64)))) (/.f64 (fma.f64 t1 (*.f64 (*.f64 t1 (*.f64 t1 v)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 #s(literal -3 binary64) (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))))))) u)) u)) u))) (*.f64 u u)) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v (+ t1 u))) |
(neg.f64 (/.f64 v (+.f64 t1 u))) |
(* -1 (/ v u)) |
(/.f64 v (neg.f64 u)) |
(+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 t1 v) u) v) u) |
(+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2))))) |
(fma.f64 t1 (-.f64 (/.f64 v (*.f64 u u)) (/.f64 (*.f64 t1 v) (*.f64 u (*.f64 u u)))) (/.f64 v (neg.f64 u))) |
(+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2))))) |
(fma.f64 (*.f64 t1 t1) (-.f64 (/.f64 (*.f64 t1 v) (pow.f64 u #s(literal 4 binary64))) (/.f64 v (*.f64 u (*.f64 u u)))) (/.f64 (-.f64 (/.f64 (*.f64 t1 v) u) v) u)) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(/ (+ (* -1 v) (/ (* u v) t1)) t1) |
(/.f64 (fma.f64 v (/.f64 u t1) (neg.f64 v)) t1) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1) |
(/.f64 (-.f64 (/.f64 (fma.f64 v u (/.f64 (*.f64 (*.f64 u (neg.f64 u)) v) t1)) t1) v) t1) |
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1) |
(/.f64 (-.f64 (fma.f64 (*.f64 u u) (/.f64 (*.f64 v u) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (fma.f64 v u (/.f64 (*.f64 (*.f64 u (neg.f64 u)) v) t1)) t1)) v) t1) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1)) |
(neg.f64 (/.f64 (fma.f64 u (/.f64 v (neg.f64 t1)) v) t1)) |
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(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 v (*.f64 u u))) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 v (*.f64 u u))) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(/ (pow u 2) v) |
(/.f64 (*.f64 u u) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(*.f64 (*.f64 u u) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 t1 (/.f64 #s(literal -2 binary64) v) (/.f64 (*.f64 t1 t1) (*.f64 (neg.f64 v) u))) u))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(*.f64 (*.f64 u u) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 t1 (/.f64 #s(literal -2 binary64) v) (/.f64 (*.f64 t1 t1) (*.f64 (neg.f64 v) u))) u))) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ (pow (+ t1 u) 2) v) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/ u v) |
(/.f64 u v) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(/ t1 v) |
(/.f64 t1 v) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(fma.f64 t1 (/.f64 u (*.f64 t1 v)) (/.f64 t1 v)) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(fma.f64 t1 (/.f64 u (*.f64 t1 v)) (/.f64 t1 v)) |
(* t1 (+ (/ 1 v) (/ u (* t1 v)))) |
(fma.f64 t1 (/.f64 u (*.f64 t1 v)) (/.f64 t1 v)) |
(/ t1 v) |
(/.f64 t1 v) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(*.f64 (neg.f64 t1) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 u (*.f64 t1 v)))) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(*.f64 (neg.f64 t1) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 u (*.f64 t1 v)))) |
(* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v)))) |
(*.f64 (neg.f64 t1) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 u (*.f64 t1 v)))) |
(/ t1 v) |
(/.f64 t1 v) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(+ (/ t1 v) (/ u v)) |
(+.f64 (/.f64 u v) (/.f64 t1 v)) |
(/ u v) |
(/.f64 u v) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(fma.f64 u (/.f64 t1 (*.f64 v u)) (/.f64 u v)) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(fma.f64 u (/.f64 t1 (*.f64 v u)) (/.f64 u v)) |
(* u (+ (/ 1 v) (/ t1 (* u v)))) |
(fma.f64 u (/.f64 t1 (*.f64 v u)) (/.f64 u v)) |
(/ u v) |
(/.f64 u v) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 t1 (*.f64 v u))) (neg.f64 u)) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 t1 (*.f64 v u))) (neg.f64 u)) |
(* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 t1 (*.f64 v u))) (neg.f64 u)) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
(/ (+ t1 u) v) |
(/.f64 (+.f64 t1 u) v) |
| 5 598× | lower-*.f32 |
| 5 584× | lower-*.f64 |
| 4 668× | lower-/.f32 |
| 4 654× | lower-/.f64 |
| 2 832× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 167 |
| 0 | 46 | 143 |
| 1 | 157 | 141 |
| 2 | 979 | 141 |
| 0 | 8302 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 v) (+.f64 t1 u)) |
(neg.f64 v) |
(+.f64 t1 u) |
(*.f64 (/.f64 #s(literal -1 binary64) t1) v) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 #s(literal -1 binary64) t1) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(neg.f64 t1) |
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)) |
(/.f64 (+.f64 t1 u) v) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)) (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1))) (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) t1) (*.f64 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) (neg.f64 u))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(+.f64 (*.f64 (*.f64 t1 t1) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(+.f64 (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))))) (*.f64 (*.f64 t1 t1) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(+.f64 (*.f64 t1 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u))) (*.f64 (neg.f64 u) (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))) (/.f64 (neg.f64 v) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 t1 u) v))) (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(fma.f64 t1 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) (*.f64 (neg.f64 u) (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)))) |
(fma.f64 #s(literal 0 binary64) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(fma.f64 (*.f64 t1 t1) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 u (-.f64 u t1)) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(fma.f64 (*.f64 u (-.f64 u t1)) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 (*.f64 t1 t1) (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))))) |
(fma.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1) (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (-.f64 u t1)) (*.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) t1 (*.f64 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) (neg.f64 u))) |
(fma.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64) (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(neg.f64 (/.f64 (neg.f64 v) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 v t1))) |
(/.f64 v (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))) |
(/.f64 (neg.f64 v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1)) |
(/.f64 (neg.f64 v) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1)))) |
(/.f64 t1 (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))) |
(/.f64 (neg.f64 (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1)) |
(/.f64 (/.f64 t1 (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1))) |
(/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 (neg.f64 t1) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (*.f64 v t1)))) |
(/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 1 binary64)) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 (neg.f64 t1) u))) |
(/.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v)) |
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 (+.f64 t1 u) (*.f64 v (neg.f64 t1)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) (*.f64 v t1))) |
(/.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u)) |
(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1)) |
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) (*.f64 v (neg.f64 t1))))) |
(/.f64 (neg.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) t1)) |
(/.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(/.f64 (/.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(/.f64 (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) t1)) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) (/.f64 t1 (+.f64 t1 u)))) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) (/.f64 (+.f64 t1 u) v))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v))) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) (neg.f64 t1))) (*.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) (neg.f64 (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v)))) |
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(*.f64 (-.f64 (neg.f64 t1) u) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (/.f64 #s(literal 1 binary64) (*.f64 v (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))))) |
(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) v))) |
(*.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 t1 u)) |
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (*.f64 v (-.f64 t1 u)))) |
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t1 u) v))) |
(*.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 #s(literal -1 binary64) v) (-.f64 (neg.f64 t1) u)) |
(*.f64 (pow.f64 (/.f64 v (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (pow.f64 (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) (neg.f64 v))) |
(*.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1))) v)) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (neg.f64 v))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) v)) |
(*.f64 (/.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) v) (/.f64 (+.f64 t1 u) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) v) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) v) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (pow.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 t1) u)) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))) |
(*.f64 (/.f64 (-.f64 (neg.f64 t1) u) (neg.f64 (*.f64 v (*.f64 v v)))) (fma.f64 v v #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 (neg.f64 t1) u) (neg.f64 (*.f64 v v))) v) |
(*.f64 (/.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) v) (fma.f64 t1 (*.f64 (*.f64 t1 t1) (*.f64 t1 (*.f64 t1 t1))) (*.f64 (*.f64 u (-.f64 u t1)) (*.f64 u (*.f64 (-.f64 u t1) (*.f64 u (-.f64 u t1))))))) (fma.f64 t1 (*.f64 t1 (*.f64 t1 t1)) (*.f64 (*.f64 u (-.f64 u t1)) (-.f64 (*.f64 u (-.f64 u t1)) (*.f64 t1 t1))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u))) v) (*.f64 (fma.f64 u (-.f64 u t1) (*.f64 t1 t1)) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1))))) (-.f64 (*.f64 t1 t1) (*.f64 u (-.f64 u t1)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) v) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (+.f64 t1 u)) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) v) (*.f64 (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u))) (-.f64 t1 u))) (fma.f64 t1 t1 (*.f64 u (+.f64 t1 u)))) |
Compiled 44 187 to 4 016 computations (90.9% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 161 | 6 | 2 167 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 166 | 18 | 2 184 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 #s(approx (/ (+ t1 u) t1) (/.f64 u t1)))) | |
| ▶ | 66.6% | (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
| ✓ | 74.9% | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| ✓ | 43.6% | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
| ▶ | 97.5% | (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
| ▶ | 47.7% | (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
| 54.0% | (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) | |
| 44.4% | (/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) | |
| 44.4% | (*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) | |
| ✓ | 47.6% | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
| ▶ | 44.3% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
| 50.4% | (*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) | |
| 47.6% | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) | |
| 93.9% | #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) | |
| ✓ | 57.0% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
| ▶ | 56.8% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
| ✓ | 56.9% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
| ✓ | 55.1% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
Compiled 379 to 226 computations (40.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) | |
| cost-diff | 0 | (neg.f64 t1) | |
| cost-diff | 384 | (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) | |
| cost-diff | 0 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) | |
| cost-diff | 0 | #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 t1 u) | |
| cost-diff | 0 | (/.f64 v (+.f64 t1 u)) | |
| cost-diff | 384 | (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 t1 v) | |
| cost-diff | 0 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 t1 v)) | |
| cost-diff | 0 | (+.f64 t1 u) | |
| cost-diff | 0 | (/.f64 t1 (+.f64 t1 u)) | |
| cost-diff | 0 | (*.f64 v (/.f64 t1 (+.f64 t1 u))) | |
| cost-diff | 384 | (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
| 5 416× | lower-fma.f64 |
| 5 416× | lower-fma.f32 |
| 2 192× | lower-*.f32 |
| 2 184× | lower-*.f64 |
| 1 536× | div-sub |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 210 |
| 0 | 47 | 208 |
| 1 | 88 | 208 |
| 2 | 187 | 206 |
| 3 | 389 | 206 |
| 4 | 730 | 204 |
| 5 | 1257 | 204 |
| 6 | 2533 | 204 |
| 7 | 3951 | 204 |
| 8 | 4562 | 204 |
| 9 | 4999 | 204 |
| 10 | 5037 | 204 |
| 11 | 5048 | 204 |
| 12 | 5052 | 204 |
| 13 | 5328 | 204 |
| 14 | 5768 | 204 |
| 15 | 6620 | 204 |
| 16 | 7208 | 204 |
| 17 | 7349 | 204 |
| 18 | 7541 | 204 |
| 19 | 7551 | 204 |
| 20 | 7563 | 204 |
| 21 | 7573 | 204 |
| 22 | 7603 | 204 |
| 23 | 7603 | 204 |
| 24 | 7763 | 204 |
| 0 | 8071 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(*.f64 v (/.f64 t1 (+.f64 t1 u))) |
v |
(/.f64 t1 (+.f64 t1 u)) |
t1 |
(+.f64 t1 u) |
u |
(-.f64 (neg.f64 t1) u) |
(neg.f64 t1) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 t1 v)) |
#s(literal -1 binary64) |
(/.f64 t1 v) |
t1 |
v |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(/.f64 v (+.f64 t1 u)) |
v |
(+.f64 t1 u) |
t1 |
u |
#s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(literal -1 binary64) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
t1 |
v |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(neg.f64 t1) |
t1 |
(/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
v |
| Outputs |
|---|
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(neg.f64 (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) |
(*.f64 v (/.f64 t1 (+.f64 t1 u))) |
v |
(/.f64 t1 (+.f64 t1 u)) |
t1 |
(+.f64 t1 u) |
u |
(-.f64 (neg.f64 t1) u) |
(neg.f64 t1) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1))) |
(/.f64 #s(literal -1 binary64) (/.f64 t1 v)) |
(/.f64 v (neg.f64 t1)) |
#s(literal -1 binary64) |
(/.f64 t1 v) |
t1 |
v |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(/.f64 v (+.f64 t1 u)) |
v |
(+.f64 t1 u) |
t1 |
u |
#s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v (neg.f64 t1)) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(literal -1 binary64) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
t1 |
v |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 (*.f64 v (neg.f64 t1)) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(neg.f64 t1) |
t1 |
(/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 u u) |
u |
v |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 6.2251226616917466 | (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) | |
| accuracy | 10.280739320656773 | (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) | |
| accuracy | 28.855266167047184 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| accuracy | 0.2454381066824837 | (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| accuracy | 4.017337380072462 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) | |
| accuracy | 17.842415855999207 | (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) | |
| accuracy | 28.855266167047184 | #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) | |
| accuracy | 0 | (+.f64 t1 u) | |
| accuracy | 0.0078125 | (/.f64 v (+.f64 t1 u)) | |
| accuracy | 1.2346040814739654 | (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) | |
| accuracy | 29.929255163890762 | #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) | |
| accuracy | 0 | (/.f64 t1 v) | |
| accuracy | 0.46879860817675945 | (/.f64 #s(literal -1 binary64) (/.f64 t1 v)) | |
| accuracy | 27.488621342759007 | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) | |
| accuracy | 0 | (+.f64 t1 u) | |
| accuracy | 0 | (neg.f64 t1) | |
| accuracy | 0.8999687921668634 | (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) | |
| accuracy | 2.302142606299757 | (*.f64 v (/.f64 t1 (+.f64 t1 u))) |
| 117.0ms | 256× | 0 | valid |
Compiled 174 to 27 computations (84.5% saved)
ival-mult: 41.0ms (64.5% of total)ival-div: 17.0ms (26.8% of total)ival-add: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.6% 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 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ()) |
#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ()) |
#s(alt (/.f64 t1 (+.f64 t1 u)) (patch (/.f64 t1 (+.f64 t1 u)) #<representation binary64>) () ()) |
#s(alt (+.f64 t1 u) (patch (+.f64 t1 u) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 t1 v)) (patch (/.f64 #s(literal -1 binary64) (/.f64 t1 v)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) (patch #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) #<representation binary64>) () ()) |
#s(alt (/.f64 t1 v) (patch (/.f64 t1 v) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) (patch (/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 v (+.f64 t1 u)) (patch (/.f64 v (+.f64 t1 u)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (patch #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) (patch (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (patch (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (patch #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) (patch (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t1) (patch (neg.f64 t1) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (patch (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor 0 v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) (taylor 0 t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) (taylor inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (+ (* -1 (/ (+ (* -2 (* (pow u 3) v)) (* 2 (* u (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v)))))) t1)) (* 4 (* (pow u 2) v)))) t1)) (* 2 (* u v))) t1))) t1)) (taylor -inf t1) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ v t1)) (taylor 0 u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) (taylor 0 u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) (taylor 0 u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) (taylor 0 u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) (taylor inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t1 v) (pow u 2))) (taylor -inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) (taylor -inf u) (#s(alt (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) (patch (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor 0 v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor 0 v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor 0 v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor 0 v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor -inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor -inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor -inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) (+ t1 u)) (taylor -inf v) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) u) (taylor 0 t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))) (taylor 0 t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))) (taylor 0 t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))) (taylor 0 t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt v (taylor inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -1 (/ (* u v) t1))) (taylor inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) (taylor inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) (taylor inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt v (taylor -inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -1 (/ (* u v) t1))) (taylor -inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) (taylor -inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) (taylor -inf t1) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt v (taylor 0 u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* -1 (/ (* u v) t1))) (taylor 0 u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1)))) (taylor 0 u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1)))) (taylor 0 u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t1 v) u) (taylor inf u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u) (taylor inf u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u) (taylor inf u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u) (taylor inf u) (#s(alt (*.f64 v (/.f64 t1 (+.f64 t1 u))) (patch (*.f64 v (/.f64 t1 (+.f64 t1 u))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (patch (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (patch (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (patch (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ t1 u) 2) v) (taylor -inf v) (#s(alt (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (patch (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t1 | @ | -inf | (/ (* v (/ t1 (+ t1 u))) (- (neg t1) u)) |
| 0.0ms | v | @ | 0 | (* v (/ t1 (+ t1 u))) |
| 0.0ms | t1 | @ | -inf | (/ t1 v) |
| 0.0ms | u | @ | inf | (/ t1 (+ t1 u)) |
| 0.0ms | u | @ | 0 | (* v (/ t1 (+ t1 u))) |
| 1× | egg-herbie |
| 9 080× | lower-fma.f64 |
| 9 080× | lower-fma.f32 |
| 5 556× | lower-*.f64 |
| 5 556× | lower-*.f32 |
| 3 528× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 794 | 7144 |
| 1 | 2541 | 6758 |
| 2 | 7791 | 6715 |
| 0 | 8509 | 6438 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (+ (* -1 (/ (+ (* -2 (* (pow u 3) v)) (* 2 (* u (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v)))))) t1)) (* 4 (* (pow u 2) v)))) t1)) (* 2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) (+ t1 u)) |
(/ (* t1 v) u) |
(* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))) |
(* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))) |
(* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))) |
v |
(+ v (* -1 (/ (* u v) t1))) |
(- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) |
(- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) |
v |
(+ v (* -1 (/ (* u v) t1))) |
(+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) |
(+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) |
v |
(+ v (* -1 (/ (* u v) t1))) |
(+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1)))) |
(+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1)))) |
(/ (* t1 v) u) |
(/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u) |
(/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u) |
(/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u) |
(/ (* t1 v) u) |
(* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u)) |
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u)) |
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u)) |
(/ t1 u) |
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u))) |
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u))) |
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u))) |
1 |
(+ 1 (* -1 (/ u t1))) |
(- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1)) |
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1))) |
1 |
(+ 1 (* -1 (/ u t1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1))) |
1 |
(+ 1 (* -1 (/ u t1))) |
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1)))) |
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1)))) |
(/ t1 u) |
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u) |
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u) |
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u) |
(/ t1 u) |
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u)) |
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u)) |
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u)) |
u |
(+ t1 u) |
(+ t1 u) |
(+ t1 u) |
t1 |
(* t1 (+ 1 (/ u t1))) |
(* t1 (+ 1 (/ u t1))) |
(* t1 (+ 1 (/ u t1))) |
t1 |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
(* -1 (* t1 (- (* -1 (/ u t1)) 1))) |
t1 |
(+ t1 u) |
(+ t1 u) |
(+ t1 u) |
u |
(* u (+ 1 (/ t1 u))) |
(* u (+ 1 (/ t1 u))) |
(* u (+ 1 (/ t1 u))) |
u |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (* u (- (* -1 (/ t1 u)) 1))) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ v t1)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(/ t1 v) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u)))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v (+ t1 u)) |
(/ v u) |
(+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)) |
(+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)) |
(+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)) |
(/ v t1) |
(/ (+ v (* -1 (/ (* u v) t1))) t1) |
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1) |
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1) |
(/ v t1) |
(* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1)) |
(/ v t1) |
(+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1)) |
(+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1)) |
(+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1)) |
(/ v u) |
(/ (+ v (* -1 (/ (* t1 v) u))) u) |
(/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u) |
(/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u) |
(/ v u) |
(* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u)) |
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u)) |
(* -1 (/ u t1)) |
(/ (- (* -1 t1) u) t1) |
(/ (- (* -1 t1) u) t1) |
(/ (- (* -1 t1) u) t1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
-1 |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(- (* -1 (/ u t1)) 1) |
(* -1 (/ u t1)) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (/ u t1)) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (* u (+ (/ 1 t1) (/ 1 u)))) |
(* -1 (/ t1 (pow u 2))) |
(* t1 (- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2)))) |
(* t1 (- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(* t1 (- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(/ -1 t1) |
(/ (- (* 2 (/ u t1)) 1) t1) |
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) t1) |
(/ (- (* -1 (/ (+ (* -2 (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2))))) (* 2 (pow u 3))) (pow t1 3))) (+ 1 (+ (* -2 (/ u t1)) (+ (* -1 (/ (pow u 2) (pow t1 2))) (* 4 (/ (pow u 2) (pow t1 2))))))) t1) |
(/ -1 t1) |
(* -1 (/ (+ 1 (* -2 (/ u t1))) t1)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -4 (/ (pow u 2) t1)) (/ (pow u 2) t1)) (* -2 u)) t1))) t1)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (pow u 2)) (pow u 2))) t1)) (* 2 (/ (pow u 3) t1))) (+ (* -4 (pow u 2)) (pow u 2))) t1)) (* -2 u)) t1))) t1)) |
(/ -1 t1) |
(- (* 2 (/ u (pow t1 2))) (/ 1 t1)) |
(- (* u (+ (* -3 (/ u (pow t1 3))) (* 2 (/ 1 (pow t1 2))))) (/ 1 t1)) |
(- (* u (+ (* u (- (* 4 (/ u (pow t1 4))) (* 3 (/ 1 (pow t1 3))))) (* 2 (/ 1 (pow t1 2))))) (/ 1 t1)) |
(* -1 (/ t1 (pow u 2))) |
(/ (+ (* -1 t1) (* 2 (/ (pow t1 2) u))) (pow u 2)) |
(/ (+ (* -4 (/ (pow t1 3) (pow u 2))) (+ (* -1 t1) (+ (* 2 (/ (pow t1 2) u)) (/ (pow t1 3) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (pow t1 3) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (pow t1 3)) (pow t1 3))) (pow u 3))) (+ (* -2 (/ (pow t1 4) (pow u 3))) (+ (* -1 t1) (+ (* 2 (/ (pow t1 2) u)) (/ (pow t1 3) (pow u 2))))))) (pow u 2)) |
(* -1 (/ t1 (pow u 2))) |
(/ (+ (* -1 t1) (* 2 (/ (pow t1 2) u))) (pow u 2)) |
(/ (+ (* -1 t1) (* -1 (/ (+ (* -2 (pow t1 2)) (* -1 (/ (+ (* -4 (pow t1 3)) (pow t1 3)) u))) u))) (pow u 2)) |
(/ (+ (* -1 t1) (* -1 (/ (+ (* -2 (pow t1 2)) (* -1 (/ (+ (* -4 (pow t1 3)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (pow t1 3)) (pow t1 3)))) (* 2 (pow t1 4))) u)) (pow t1 3))) u))) u))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/ -1 (pow u 2)) |
(- (* 2 (/ t1 (pow u 3))) (/ 1 (pow u 2))) |
(- (* t1 (+ (* -3 (/ t1 (pow u 4))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))) |
(- (* t1 (+ (* t1 (- (* 4 (/ t1 (pow u 5))) (* 3 (/ 1 (pow u 4))))) (* 2 (/ 1 (pow u 3))))) (/ 1 (pow u 2))) |
(/ -1 (pow t1 2)) |
(/ (- (* 2 (/ u t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow u 2)) (* 4 (pow u 2))) (pow t1 2))) (+ 1 (* -2 (/ u t1)))) (pow t1 2)) |
(/ (- (* -1 (/ (+ (* -2 (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2))))) (* 2 (pow u 3))) (pow t1 3))) (+ 1 (+ (* -2 (/ u t1)) (+ (* -1 (/ (pow u 2) (pow t1 2))) (* 4 (/ (pow u 2) (pow t1 2))))))) (pow t1 2)) |
(/ -1 (pow t1 2)) |
(/ (- (* 2 (/ u t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow u 2) t1)) (* 4 (/ (pow u 2) t1))) (* 2 u)) t1)) 1) (pow t1 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow u 3) t1)) (* 2 (/ (* u (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1))) (+ (* -1 (pow u 2)) (* 4 (pow u 2)))) t1)) (* 2 u)) t1)) 1) (pow t1 2)) |
(/ -1 (pow t1 2)) |
(- (* 2 (/ u (pow t1 3))) (/ 1 (pow t1 2))) |
(- (* u (+ (* -3 (/ u (pow t1 4))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2))) |
(- (* u (+ (* u (- (* 4 (/ u (pow t1 5))) (* 3 (/ 1 (pow t1 4))))) (* 2 (/ 1 (pow t1 3))))) (/ 1 (pow t1 2))) |
(/ -1 (pow u 2)) |
(/ (- (* 2 (/ t1 u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))) (pow u 2))) (+ 1 (* -2 (/ t1 u)))) (pow u 2)) |
(/ (- (* -1 (/ (+ (* -2 (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2))))) (* 2 (pow t1 3))) (pow u 3))) (+ 1 (+ (* -2 (/ t1 u)) (+ (* -1 (/ (pow t1 2) (pow u 2))) (* 4 (/ (pow t1 2) (pow u 2))))))) (pow u 2)) |
(/ -1 (pow u 2)) |
(/ (- (* 2 (/ t1 u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow t1 2) u)) (* 4 (/ (pow t1 2) u))) (* 2 t1)) u)) 1) (pow u 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow t1 3) u)) (* 2 (/ (* t1 (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u))) (+ (* -1 (pow t1 2)) (* 4 (pow t1 2)))) u)) (* 2 t1)) u)) 1) (pow u 2)) |
(pow u 2) |
(+ (* 2 (* t1 u)) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(+ (* t1 (+ t1 (* 2 u))) (pow u 2)) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2))))) |
(pow t1 2) |
(* (pow t1 2) (+ 1 (* 2 (/ u t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1)))) |
(pow t1 2) |
(+ (* 2 (* t1 u)) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(+ (* u (+ u (* 2 t1))) (pow t1 2)) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2))))) |
(pow u 2) |
(* (pow u 2) (+ 1 (* 2 (/ t1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u)))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(* -1 (/ v t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(* -1 (/ v t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(* -1 (/ v t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(* -1 t1) |
(/ (pow u 2) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow u 2) v)) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(/ (pow t1 2) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(/ (pow t1 2) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(/ (pow t1 2) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow t1 2) v)) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(/ (pow u 2) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(/ (pow u 2) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
(/ (pow (+ t1 u) 2) v) |
| Outputs |
|---|
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(neg.f64 (*.f64 v (/.f64 t1 (*.f64 u u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3))))) |
(*.f64 t1 (-.f64 (/.f64 (*.f64 (*.f64 t1 v) #s(literal 2 binary64)) (*.f64 u (*.f64 u u))) (/.f64 v (*.f64 u u)))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -3 binary64)) (/.f64 v (pow.f64 u #s(literal 4 binary64))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
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(*.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -3 binary64)) (/.f64 v (pow.f64 u #s(literal 4 binary64))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))))) |
(*.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 (*.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 u (*.f64 u u)))) (/.f64 v (*.f64 u (neg.f64 u))))) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (/.f64 u t1)) (neg.f64 v)) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1) |
(/.f64 (fma.f64 (*.f64 v (*.f64 u u)) (/.f64 #s(literal -4 binary64) (*.f64 t1 t1)) (fma.f64 v (/.f64 (*.f64 u u) (*.f64 t1 t1)) (fma.f64 #s(literal 2 binary64) (*.f64 v (/.f64 u t1)) (neg.f64 v)))) t1) |
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1) |
(/.f64 (fma.f64 (*.f64 u u) (*.f64 (/.f64 v (*.f64 t1 t1)) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) (fma.f64 u (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v (*.f64 u (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1)))) (fma.f64 v (/.f64 (*.f64 u u) (*.f64 t1 t1)) (fma.f64 #s(literal 2 binary64) (*.f64 v (/.f64 u t1)) (neg.f64 v))))) t1) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1)) |
(/.f64 (fma.f64 u (*.f64 (/.f64 v t1) #s(literal -2 binary64)) v) (neg.f64 t1)) |
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (fma.f64 v (*.f64 u #s(literal 2 binary64)) (/.f64 (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64))) t1)) t1)) (neg.f64 t1)) |
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1)) |
(/.f64 (-.f64 v (/.f64 (fma.f64 v (*.f64 u #s(literal 2 binary64)) (/.f64 (fma.f64 v (*.f64 u (*.f64 u #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 v (*.f64 u (/.f64 (*.f64 u u) t1)) (/.f64 (*.f64 u (*.f64 v (*.f64 (*.f64 u u) #s(literal -3 binary64)))) t1)))) (neg.f64 t1))) t1)) (neg.f64 t1)) |
(* -1 (/ v t1)) |
(/.f64 v (neg.f64 t1)) |
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 v (/.f64 u t1)) (neg.f64 v)) t1) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))))))) |
(fma.f64 u (fma.f64 (*.f64 u #s(literal -3 binary64)) (/.f64 v (*.f64 t1 (*.f64 t1 t1))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1))) (/.f64 v (neg.f64 t1))) |
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3)))))))) |
(fma.f64 u (fma.f64 u (fma.f64 u (fma.f64 #s(literal -2 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 #s(literal 6 binary64) (/.f64 v (*.f64 t1 (*.f64 t1 t1)))) t1)) (/.f64 (*.f64 #s(literal -3 binary64) v) (*.f64 t1 (*.f64 t1 t1)))) (/.f64 (*.f64 v #s(literal 2 binary64)) (*.f64 t1 t1))) (/.f64 v (neg.f64 t1))) |
(* -1 (/ (* t1 v) (pow u 2))) |
(neg.f64 (*.f64 v (/.f64 t1 (*.f64 u u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64))) (*.f64 t1 v)) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (-.f64 (fma.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u u)) (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64)))) (*.f64 t1 v))) (*.f64 u u)) |
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 u u)) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64))) (/.f64 t1 (*.f64 u (*.f64 u u))) (/.f64 (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v)))) (*.f64 u (*.f64 u u)))) (-.f64 (fma.f64 v (/.f64 (*.f64 t1 (*.f64 t1 t1)) (*.f64 u u)) (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64)))) (*.f64 t1 v)))) (*.f64 u u)) |
(* -1 (/ (* t1 v) (pow u 2))) |
(neg.f64 (*.f64 v (/.f64 t1 (*.f64 u u)))) |
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2)) |
(/.f64 (-.f64 (*.f64 (*.f64 t1 t1) (*.f64 (/.f64 v u) #s(literal 2 binary64))) (*.f64 t1 v)) (*.f64 u u)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2)) |
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 v (*.f64 t1 (/.f64 (*.f64 t1 t1) u))) (*.f64 v (*.f64 t1 (*.f64 t1 #s(literal -2 binary64))))) u))) (*.f64 u u)) |
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2)) |
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 v (*.f64 t1 (*.f64 t1 #s(literal -2 binary64))) (/.f64 (fma.f64 v (*.f64 (*.f64 t1 (*.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))) (*.f64 #s(literal -3 binary64) (*.f64 t1 (*.f64 t1 (*.f64 t1 (*.f64 t1 v))))))) u)) (neg.f64 u))) u))) (*.f64 u u)) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 (/ (* t1 v) (pow (+ t1 u) 2))) |
(/.f64 (*.f64 t1 (neg.f64 v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(* -1 t1) |
(neg.f64 t1) |
(/ (pow u 2) v) |
(/.f64 (*.f64 u u) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow u 2) v)) |
(*.f64 u (fma.f64 t1 (/.f64 #s(literal 2 binary64) v) (/.f64 u v))) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(fma.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) v) (/.f64 t1 v)) (/.f64 (*.f64 u u) v)) |
(+ (* t1 (+ (* 2 (/ u v)) (/ t1 v))) (/ (pow u 2) v)) |
(fma.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) v) (/.f64 t1 v)) (/.f64 (*.f64 u u) v)) |
(/ (pow t1 2) v) |
(/.f64 (*.f64 t1 t1) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(*.f64 (*.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) (*.f64 t1 v)) (/.f64 #s(literal 1 binary64) v))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(*.f64 (*.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) (*.f64 t1 v)) (fma.f64 u (/.f64 u (*.f64 t1 (*.f64 t1 v))) (/.f64 #s(literal 1 binary64) v)))) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (+ (/ 1 v) (/ (pow u 2) (* (pow t1 2) v))))) |
(*.f64 (*.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) (*.f64 t1 v)) (fma.f64 u (/.f64 u (*.f64 t1 (*.f64 t1 v))) (/.f64 #s(literal 1 binary64) v)))) |
(/ (pow t1 2) v) |
(/.f64 (*.f64 t1 t1) v) |
(* (pow t1 2) (+ (* 2 (/ u (* t1 v))) (/ 1 v))) |
(*.f64 (*.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) (*.f64 t1 v)) (/.f64 #s(literal 1 binary64) v))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(*.f64 (*.f64 t1 t1) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 (*.f64 u #s(literal -2 binary64)) v) (*.f64 u (/.f64 u (*.f64 t1 v)))) t1))) |
(* (pow t1 2) (+ (* -1 (/ (+ (* -2 (/ u v)) (* -1 (/ (pow u 2) (* t1 v)))) t1)) (/ 1 v))) |
(*.f64 (*.f64 t1 t1) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 (*.f64 u #s(literal -2 binary64)) v) (*.f64 u (/.f64 u (*.f64 t1 v)))) t1))) |
(/ (pow t1 2) v) |
(/.f64 (*.f64 t1 t1) v) |
(+ (* 2 (/ (* t1 u) v)) (/ (pow t1 2) v)) |
(*.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) v) (/.f64 t1 v))) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(fma.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) v) (/.f64 t1 v)) (/.f64 (*.f64 u u) v)) |
(+ (* u (+ (* 2 (/ t1 v)) (/ u v))) (/ (pow t1 2) v)) |
(fma.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) v) (/.f64 t1 v)) (/.f64 (*.f64 u u) v)) |
(/ (pow u 2) v) |
(/.f64 (*.f64 u u) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(*.f64 u (*.f64 u (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 v (*.f64 u u))) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (+ (/ 1 v) (/ (pow t1 2) (* (pow u 2) v))))) |
(*.f64 (*.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 v (*.f64 u u))) (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(/ (pow u 2) v) |
(/.f64 (*.f64 u u) v) |
(* (pow u 2) (+ (* 2 (/ t1 (* u v))) (/ 1 v))) |
(*.f64 u (*.f64 u (fma.f64 t1 (/.f64 #s(literal 2 binary64) (*.f64 v u)) (/.f64 #s(literal 1 binary64) v)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(*.f64 (*.f64 u u) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 (*.f64 t1 #s(literal -2 binary64)) v) (/.f64 (*.f64 t1 t1) (*.f64 v u))) u))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -2 (/ t1 v)) (* -1 (/ (pow t1 2) (* u v)))) u)) (/ 1 v))) |
(*.f64 (*.f64 u u) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 (*.f64 t1 #s(literal -2 binary64)) v) (/.f64 (*.f64 t1 t1) (*.f64 v u))) u))) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
(/ (pow (+ t1 u) 2) v) |
(/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) v) |
| 4 010× | lower-*.f32 |
| 4 002× | lower-*.f64 |
| 3 118× | lower-fma.f64 |
| 3 118× | lower-fma.f32 |
| 2 854× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 167 |
| 0 | 47 | 151 |
| 1 | 177 | 147 |
| 2 | 1212 | 137 |
| 0 | 9689 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(*.f64 v (/.f64 t1 (+.f64 t1 u))) |
(/.f64 t1 (+.f64 t1 u)) |
(+.f64 t1 u) |
(/.f64 #s(literal -1 binary64) (/.f64 t1 v)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
(/.f64 t1 v) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(/.f64 v (+.f64 t1 u)) |
#s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(neg.f64 t1) |
(/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 v (fma.f64 t1 t1 (*.f64 u u))) #s(literal 0 binary64)) (*.f64 v (/.f64 t1 (fma.f64 t1 t1 (*.f64 u u))))) |
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (+.f64 t1 u))) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1))) |
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 t1)) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 u (+.f64 t1 u)))) |
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (fma.f64 t1 t1 (*.f64 u u))) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (fma.f64 t1 (*.f64 t1 t1) (*.f64 u (*.f64 u u)))) (*.f64 t1 u))) |
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) u) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1)) |
(+.f64 (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) t1) (*.f64 (/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (neg.f64 u))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) |
#s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(+.f64 (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal 0 binary64)) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(fma.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal 0 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(neg.f64 (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) t1)) |
(/.f64 t1 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 t1 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1))) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (*.f64 v t1) (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(/.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal 1 binary64) v)) |
(/.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal -1 binary64) v)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) t1)) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v))) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) t1)) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1))) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) (*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) (/.f64 #s(literal 1 binary64) v))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (*.f64 t1 (*.f64 t1 t1))) (fma.f64 t1 t1 #s(literal 0 binary64))) |
(/.f64 (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (*.f64 t1 t1)) t1) |
(pow.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1)) #s(literal -1 binary64)) |
(*.f64 v (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 t1 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 t1 (/.f64 (neg.f64 v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (*.f64 v t1)) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 v t1)) #s(literal -1 binary64))) |
(*.f64 (*.f64 v t1) (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (*.f64 v t1) (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (pow.f64 (/.f64 #s(literal -1 binary64) t1) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (*.f64 v t1)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 v t1)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 (*.f64 v t1) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 v)) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v))) |
(*.f64 (/.f64 (neg.f64 v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(*.f64 (*.f64 v #s(literal -1 binary64)) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v)) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal 1 binary64)) (*.f64 v t1)) |
(*.f64 (pow.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (*.f64 v t1)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) (*.f64 v t1)) |
(*.f64 (*.f64 (/.f64 (neg.f64 v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) t1) |
(*.f64 (*.f64 (/.f64 (neg.f64 v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal 1 binary64)) t1) |
t1 |
(+.f64 #s(literal 0 binary64) t1) |
(-.f64 #s(literal 0 binary64) t1) |
(-.f64 (/.f64 #s(literal 0 binary64) t1) t1) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t1 t1 #s(literal 0 binary64))) t1) |
(neg.f64 t1) |
(/.f64 t1 #s(literal -1 binary64)) |
(/.f64 t1 #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t1)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (*.f64 t1 (*.f64 t1 t1)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t1 (*.f64 t1 t1))) |
(/.f64 (*.f64 t1 (*.f64 t1 t1)) (fma.f64 t1 t1 #s(literal 0 binary64))) |
(/.f64 (*.f64 t1 (*.f64 t1 t1)) (neg.f64 (fma.f64 t1 t1 #s(literal 0 binary64)))) |
(/.f64 (*.f64 t1 (*.f64 t1 t1)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t1 t1) #s(literal 0 binary64)))) |
(/.f64 (*.f64 t1 t1) t1) |
(*.f64 t1 #s(literal -1 binary64)) |
(*.f64 t1 #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) t1) |
(*.f64 #s(literal 1 binary64) t1) |
(*.f64 (*.f64 t1 (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 #s(literal 0 binary64)))) |
(*.f64 (*.f64 t1 t1) (/.f64 #s(literal -1 binary64) t1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v))) |
(neg.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) |
(/.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(/.f64 (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 v)) |
(pow.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #s(literal 1 binary64)) |
(pow.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 v))) |
(*.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (/.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(*.f64 (neg.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (/.f64 #s(literal -1 binary64) v)) |
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v)) |
(*.f64 (pow.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) #s(literal -1/2 binary64))) |
Compiled 30 827 to 3 109 computations (89.9% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 581 | 8 | 1 589 |
| Fresh | 0 | 7 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 584 | 23 | 1 607 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 #s(approx (/ (+ t1 u) t1) (/.f64 u t1)))) | |
| ✓ | 74.9% | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| ✓ | 43.6% | (/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
| 49.4% | (/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) | |
| 52.0% | (/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) | |
| 26.7% | (/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) | |
| ✓ | 47.7% | (/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
| 54.0% | (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) | |
| 44.4% | (/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) | |
| 66.6% | (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) | |
| 66.8% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))) | |
| 44.4% | (*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) | |
| ✓ | 47.6% | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
| 29.4% | (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) | |
| 26.9% | (*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) | |
| ✓ | 44.3% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
| 50.4% | (*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) | |
| 47.6% | (*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) | |
| 93.9% | #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) | |
| ✓ | 57.0% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
| 17.6% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) | |
| ✓ | 56.9% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
| ✓ | 55.1% | #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
Compiled 666 to 268 computations (59.8% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) |
(/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) |
(/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
#s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) (neg.f64 v)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (neg.f64 (+.f64 t1 u)))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 #s(approx (/ (+ t1 u) t1) (/.f64 u t1)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
| Outputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
4 calls:
| 60.0ms | v |
| 13.0ms | t1 |
| 11.0ms | u |
| 10.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | u |
| 98.1% | 1 | v |
| 98.1% | 1 | t1 |
| 98.1% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) |
(/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) |
(/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
#s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) (neg.f64 v)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 t1 (*.f64 (/.f64 (+.f64 t1 u) v) (neg.f64 (+.f64 t1 u)))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))) |
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
(/.f64 (*.f64 (/.f64 v (+.f64 t1 u)) t1) (neg.f64 (+.f64 t1 u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 #s(approx (/ (+ t1 u) t1) (/.f64 u t1)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 t1 (+.f64 t1 u))) (neg.f64 v)) (neg.f64 (+.f64 t1 u))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
4 calls:
| 13.0ms | v |
| 13.0ms | u |
| 12.0ms | t1 |
| 9.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | u |
| 98.1% | 1 | v |
| 98.1% | 1 | t1 |
| 98.1% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) |
(/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) |
(/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
#s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) t1) (neg.f64 v)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (neg.f64 (/.f64 (fma.f64 (/.f64 v t1) (*.f64 u #s(literal -2 binary64)) v) t1))) |
| Outputs |
|---|
(/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
#s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1)))) |
4 calls:
| 11.0ms | t1 |
| 10.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 9.0ms | v |
| 9.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | u |
| 93.9% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 93.9% | 1 | v |
| 93.9% | 1 | t1 |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) |
(/.f64 v (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) (neg.f64 t1))) |
(/.f64 (neg.f64 t1) (/.f64 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)) v)) |
(/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) v))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))) |
(*.f64 #s(approx (/ (neg v) (+ t1 u)) (/.f64 v (neg.f64 u))) (/.f64 t1 (+.f64 t1 u))) |
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) #s(approx (/ (+ t1 u) v) (/.f64 u v)))) |
(/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
4 calls:
| 60.0ms | u |
| 41.0ms | v |
| 8.0ms | t1 |
| 7.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 4 | v |
| 88.7% | 3 | t1 |
| 87.3% | 2 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 88.0% | 5 | u |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(*.f64 (neg.f64 v) (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) |
(*.f64 (/.f64 (neg.f64 t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 (*.f64 (neg.f64 t1) v) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
(/.f64 (/.f64 v (+.f64 t1 u)) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64))) |
(*.f64 t1 (*.f64 v (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) v) |
(/.f64 (*.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) (neg.f64 t1)) v) |
| Outputs |
|---|
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
3 calls:
| 7.0ms | u |
| 6.0ms | t1 |
| 5.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | u |
| 82.5% | 3 | t1 |
| 75.4% | 3 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
Compiled 23 to 14 computations (39.1% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
(/.f64 (*.f64 v t1) #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 #s(literal -1 binary64) (/.f64 t1 v))) |
| Outputs |
|---|
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
(*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) |
4 calls:
| 4.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 3.0ms | t1 |
| 3.0ms | v |
| 3.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 72.4% | 3 | u |
| 66.6% | 1 | v |
| 70.3% | 3 | t1 |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
| Outputs |
|---|
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) |
1 calls:
| 2.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 3 | u |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
3 calls:
| 2.0ms | u |
| 2.0ms | t1 |
| 2.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 66.6% | 1 | t1 |
| 66.6% | 1 | u |
Compiled 23 to 14 computations (39.1% saved)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (/.f64 #s(literal -1 binary64) t1) v)) |
| Outputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
4 calls:
| 11.0ms | t1 |
| 2.0ms | v |
| 2.0ms | u |
| 2.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 1 | u |
| 57.0% | 1 | v |
| 57.0% | 1 | t1 |
| 57.0% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
Compiled 27 to 17 computations (37% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
| Outputs |
|---|
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
4 calls:
| 1.0ms | t1 |
| 1.0ms | u |
| 1.0ms | v |
| 1.0ms | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.6% | 1 | (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) |
| 17.6% | 1 | v |
| 17.6% | 1 | t1 |
| 17.6% | 1 | u |
Compiled 27 to 17 computations (37% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -3.1011542039762282e+177 | -1.3333480455621236e+167 |
| 8.0ms | 160× | 0 | valid |
Compiled 328 to 204 computations (37.8% saved)
ival-mult: 2.0ms (42% of total)ival-div: 1.0ms (21% of total)ival-add: 1.0ms (21% of total)ival-neg: 1.0ms (21% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5072799418207525e+229 | 1.6282672279078199e+268 |
Compiled 18 to 14 computations (22.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.0574864807236428e-51 | 2.3588408323657647e-51 |
| 11.0ms | -2.4793549709206555e-83 | -8.322166827819246e-85 |
| 9.0ms | 144× | 0 | valid |
Compiled 243 to 158 computations (35% saved)
ival-mult: 2.0ms (36.4% of total)ival-neg: 2.0ms (36.4% of total)ival-div: 1.0ms (18.2% of total)ival-add: 1.0ms (18.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 4.3985911515435006e+102 | 6.114403313937045e+105 |
| 6.0ms | -1.494661072162286e+109 | -1.0134516342606623e+109 |
| 13.0ms | 192× | 0 | valid |
Compiled 270 to 170 computations (37% saved)
ival-mult: 2.0ms (36% of total)ival-div: 1.0ms (18% of total)ival-add: 1.0ms (18% of total)ival-neg: 1.0ms (18% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.1776458607603904e+195 | 1.3416561601994537e+196 |
| 14.0ms | -2.284650129957761e+146 | -4.921150095779683e+144 |
| 15.0ms | 208× | 0 | valid |
Compiled 330 to 209 computations (36.7% saved)
ival-mult: 3.0ms (49.8% of total)ival-div: 1.0ms (16.6% of total)ival-add: 1.0ms (16.6% of total)ival-neg: 1.0ms (16.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 72× | *-commutative_binary64 |
| 50× | neg-sub0_binary64 |
| 50× | neg-mul-1_binary64 |
| 48× | +-commutative_binary64 |
| 48× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 323 |
| 1 | 117 | 323 |
| 2 | 166 | 323 |
| 3 | 218 | 323 |
| 4 | 250 | 323 |
| 5 | 268 | 323 |
| 6 | 275 | 323 |
| 7 | 278 | 323 |
| 8 | 279 | 323 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(if (<=.f64 u #s(literal -5699999999999999887809027174401247722107109948218350673804124043853662896228079304971286459748874690711230350014624269288703669819734937283332099016746009561782562372714496000 binary64)) (/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))))) |
(if (<=.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1))) |
(if (<=.f64 t1 #s(literal -1161976947540975/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (if (<=.f64 t1 #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))))) |
(if (<=.f64 u #s(literal -10199999999999999355975416583534778507456559298750022551242766612234935462157933933614900282196507260792864768 binary64)) (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) (if (<=.f64 u #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1))) |
(if (<=.f64 u #s(literal -61999999999999997659795976820248100239017288328638203398253850655806929772195852154122714716661932556054641693106167312786276544603273792713654272 binary64)) (*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) (if (<=.f64 u #s(literal 1200000000000000128100151556352898979465053121444597799496070517778481906654574938072783060281547415358322256471727333773738687898601812378898086704683063334161811519733176917846449537655418912768 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v))) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
| Outputs |
|---|
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1))) |
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (+.f64 t1 u) (neg.f64 t1))) |
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) |
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 t1 (-.f64 (neg.f64 t1) u))) |
(if (<=.f64 u #s(literal -5699999999999999887809027174401247722107109948218350673804124043853662896228079304971286459748874690711230350014624269288703669819734937283332099016746009561782562372714496000 binary64)) (/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (+.f64 u t1))))) |
(if (<=.f64 u #s(literal -5699999999999999887809027174401247722107109948218350673804124043853662896228079304971286459748874690711230350014624269288703669819734937283332099016746009561782562372714496000 binary64)) (/.f64 (*.f64 v #s(approx (/ t1 (+ t1 u)) (/.f64 t1 u))) (-.f64 (neg.f64 t1) u)) #s(approx (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1))) (/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))))) |
(if (<=.f64 (/.f64 (*.f64 (neg.f64 t1) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (*.f64 (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1))) |
(if (<=.f64 (/.f64 (*.f64 v (neg.f64 t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (*.f64 v (/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1)))) |
(if (<=.f64 t1 #s(literal -1161976947540975/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (if (<=.f64 t1 #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 t1 (/.f64 v (*.f64 u (neg.f64 u))))) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))))) |
(if (<=.f64 t1 #s(literal -1161976947540975/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (if (<=.f64 t1 #s(literal 3706992666733213/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (*.f64 (neg.f64 t1) (/.f64 v (*.f64 u u)))) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))))) |
(if (<=.f64 u #s(literal -10199999999999999355975416583534778507456559298750022551242766612234935462157933933614900282196507260792864768 binary64)) (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1) (if (<=.f64 u #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) (*.f64 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) t1))) |
(if (<=.f64 u #s(literal -10199999999999999355975416583534778507456559298750022551242766612234935462157933933614900282196507260792864768 binary64)) (*.f64 t1 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) (if (<=.f64 u #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1))) (*.f64 t1 (/.f64 v #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))))) |
(if (<=.f64 u #s(literal -61999999999999997659795976820248100239017288328638203398253850655806929772195852154122714716661932556054641693106167312786276544603273792713654272 binary64)) (*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v) (if (<=.f64 u #s(literal 1200000000000000128100151556352898979465053121444597799496070517778481906654574938072783060281547415358322256471727333773738687898601812378898086704683063334161811519733176917846449537655418912768 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (*.f64 (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u))) v))) |
(if (<=.f64 u #s(literal -61999999999999997659795976820248100239017288328638203398253850655806929772195852154122714716661932556054641693106167312786276544603273792713654272 binary64)) (*.f64 v (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))) (if (<=.f64 u #s(literal 1200000000000000128100151556352898979465053121444597799496070517778481906654574938072783060281547415358322256471727333773738687898601812378898086704683063334161811519733176917846449537655418912768 binary64)) (/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) (*.f64 v (/.f64 t1 #s(approx (* (+ t1 u) (+ t1 u)) (*.f64 u u)))))) |
(/.f64 v (*.f64 (+.f64 t1 u) #s(approx (neg (/ (+ t1 u) t1)) #s(literal -1 binary64)))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 (neg.f64 v) t1)) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v (neg.f64 t1))) |
#s(approx (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))) (/.f64 v t1)) |
| 17 384× | lower-fma.f64 |
| 17 384× | lower-fma.f32 |
| 9 858× | lower-fma.f64 |
| 9 858× | lower-fma.f32 |
| 9 080× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 1167 |
| 1 | 690 | 1110 |
| 2 | 2300 | 1022 |
| 3 | 7292 | 1018 |
| 0 | 8297 | 976 |
| 0 | 30 | 167 |
| 0 | 47 | 151 |
| 1 | 177 | 147 |
| 2 | 1212 | 137 |
| 0 | 9689 | 137 |
| 0 | 636 | 7694 |
| 1 | 2033 | 7356 |
| 2 | 6586 | 7254 |
| 0 | 8405 | 6891 |
| 0 | 33 | 183 |
| 0 | 55 | 168 |
| 1 | 183 | 162 |
| 2 | 1216 | 162 |
| 0 | 8603 | 162 |
| 0 | 8 | 25 |
| 0 | 13 | 21 |
| 1 | 57 | 21 |
| 2 | 400 | 21 |
| 3 | 5115 | 21 |
| 0 | 8410 | 21 |
| 0 | 794 | 7144 |
| 1 | 2541 | 6758 |
| 2 | 7791 | 6715 |
| 0 | 8509 | 6438 |
| 0 | 29 | 167 |
| 0 | 46 | 143 |
| 1 | 157 | 141 |
| 2 | 979 | 141 |
| 0 | 8302 | 141 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 740 to 341 computations (53.9% saved)
(negabs v)
Compiled 544 to 196 computations (64% saved)
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