
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 382.0ms | 8 256× | 0 | valid |
ival-div: 55.0ms (27.9% of total)ival-add: 52.0ms (26.4% of total)ival-sub: 42.0ms (21.3% of total)ival-neg: 39.0ms (19.8% of total)ival-true: 6.0ms (3% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (neg.f64 (+.f64 f n)) |
| 0 | 0 | - | 0 | - | (+.f64 f n) |
| 0 | 0 | - | 0 | - | (-.f64 f n) |
| 0 | 0 | - | 0 | - | f |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 24.0ms | 512× | 0 | valid |
Compiled 54 to 22 computations (59.3% saved)
ival-sub: 3.0ms (25.9% of total)ival-div: 3.0ms (25.9% of total)ival-add: 3.0ms (25.9% of total)ival-neg: 2.0ms (17.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 424× | times-frac |
| 310× | div-sub |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 214× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 61 | 35 |
| 2 | 171 | 35 |
| 3 | 414 | 35 |
| 4 | 1172 | 35 |
| 5 | 1446 | 35 |
| 6 | 1503 | 35 |
| 7 | 1571 | 35 |
| 8 | 1628 | 35 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 21 | 8 |
| 2 | 41 | 8 |
| 3 | 78 | 7 |
| 4 | 163 | 7 |
| 5 | 307 | 7 |
| 6 | 610 | 7 |
| 7 | 722 | 7 |
| 8 | 754 | 7 |
| 9 | 770 | 7 |
| 10 | 771 | 7 |
| 0 | 771 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
Compiled 10 to 6 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (neg.f64 (+.f64 f n)) | |
| cost-diff | 128 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 214× | div-sub |
| 176× | lower-*.f64 |
| 176× | lower-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 21 | 20 |
| 2 | 41 | 20 |
| 3 | 78 | 19 |
| 4 | 163 | 19 |
| 5 | 307 | 19 |
| 6 | 610 | 19 |
| 7 | 722 | 19 |
| 8 | 754 | 19 |
| 9 | 770 | 19 |
| 10 | 771 | 19 |
| 0 | 771 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
f |
n |
(-.f64 f n) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(neg.f64 (+.f64 f n)) |
(-.f64 (neg.f64 n) f) |
(+.f64 f n) |
f |
n |
(-.f64 f n) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0 | (neg.f64 (+.f64 f n)) | |
| accuracy | 0.021816259768442016 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 12.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
ival-div: 2.0ms (35.6% of total)ival-sub: 1.0ms (17.8% of total)ival-add: 1.0ms (17.8% of total)ival-neg: 1.0ms (17.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ()) |
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ()) |
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | 0 | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | -inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | n | @ | -inf | (/ (neg (+ f n)) (- f n)) |
| 1× | egg-herbie |
| 14 778× | lower-fma.f64 |
| 14 778× | lower-fma.f32 |
| 3 728× | lower-*.f64 |
| 3 728× | lower-*.f32 |
| 1 970× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5180 | 459 |
| 0 | 8647 | 432 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (+.f64 n n)) f) n)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(* -1 n) |
(neg.f64 n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
f |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 n) |
(neg.f64 n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
f |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
f |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(* -1 n) |
(neg.f64 n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(-.f64 f n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(-.f64 f n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(-.f64 f n) |
| 2 824× | lower-*.f64 |
| 2 824× | lower-*.f32 |
| 2 620× | lower-/.f32 |
| 2 618× | lower-/.f64 |
| 1 912× | lower-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 46 | 18 |
| 2 | 327 | 17 |
| 0 | 5530 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
(-.f64 f n) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 n (+.f64 f n)))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 f n))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f)) |
(+.f64 (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(+.f64 (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))))) |
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))))) |
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))))) |
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(fma.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))))) |
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f))) |
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(fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (+.f64 f n)) (-.f64 (*.f64 n (+.f64 f n)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f)))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(neg.f64 (-.f64 n f)) |
(/.f64 (-.f64 f n) #s(literal 1 binary64)) |
(/.f64 (-.f64 n f) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 n (+.f64 f n) (*.f64 f f))) |
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f (neg.f64 n))))) |
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n)) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (neg.f64 f) n)) |
(/.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))))) |
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) |
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (+.f64 f n) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)))))) |
(/.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (fma.f64 n n (*.f64 f f)))) |
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (-.f64 (*.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (+.f64 f n) (*.f64 n n))) (*.f64 (+.f64 f n) (+.f64 f n))) |
(/.f64 (*.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64)) (fma.f64 n (+.f64 f n) (*.f64 f f))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)))) (+.f64 f n))) |
(/.f64 (*.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 f n))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 f) n))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 f) n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (fma.f64 n (+.f64 f n) (*.f64 f f))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (fma.f64 n (+.f64 f n) (*.f64 f f))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (-.f64 (neg.f64 f) n)) |
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n)) |
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 n (+.f64 f n) (*.f64 f f))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)) (fma.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))) (fma.f64 (*.f64 f f) (/.f64 f (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))) (fma.f64 f (/.f64 f (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 n n (*.f64 f f))) |
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (+.f64 f n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64)) |
(*.f64 (+.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))) |
(*.f64 (-.f64 f n) #s(literal 1 binary64)) |
(*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) |
(*.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(*.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(*.f64 #s(literal 1 binary64) (-.f64 f n)) |
(*.f64 #s(literal -1 binary64) (-.f64 n f)) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 f n))) |
(*.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(*.f64 (/.f64 (+.f64 f n) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(*.f64 (/.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 (-.f64 f n) (+.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (+.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 n f)) |
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (+.f64 f n)) (-.f64 (*.f64 n (+.f64 f n)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f))))) |
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f)) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (neg.f64 (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))))) (*.f64 (+.f64 f n) (+.f64 f n))) |
Compiled 16 019 to 1 649 computations (89.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 9 | 659 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 651 | 9 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 52.9% | (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) | |
| 50.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| ▶ | 50.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) | |
| ▶ | 49.9% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
| ▶ | 50.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
| 49.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) | |
| ▶ | 49.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 200 to 110 computations (45% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 f f) | |
| cost-diff | 0 | (/.f64 (+.f64 f f) n) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) f) | |
| cost-diff | 0 | (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (neg.f64 f) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 7 448× | lower-fma.f32 |
| 7 444× | lower-fma.f64 |
| 2 088× | lower-*.f64 |
| 2 088× | lower-*.f32 |
| 1 560× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 131 |
| 0 | 41 | 131 |
| 1 | 71 | 131 |
| 2 | 134 | 128 |
| 3 | 278 | 128 |
| 4 | 536 | 128 |
| 5 | 1461 | 128 |
| 6 | 3893 | 128 |
| 7 | 5737 | 128 |
| 8 | 6423 | 128 |
| 9 | 6554 | 128 |
| 10 | 6583 | 128 |
| 11 | 6601 | 128 |
| 12 | 6605 | 128 |
| 13 | 6646 | 128 |
| 14 | 6762 | 128 |
| 15 | 6765 | 128 |
| 16 | 6765 | 128 |
| 17 | 7205 | 128 |
| 18 | 7433 | 128 |
| 19 | 7467 | 128 |
| 20 | 7467 | 128 |
| 21 | 7467 | 128 |
| 22 | 7467 | 128 |
| 23 | 7507 | 128 |
| 24 | 7764 | 128 |
| 0 | 7764 | 126 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 f n) |
f |
n |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
f |
(-.f64 f n) |
n |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
n |
(/.f64 #s(literal -2 binary64) f) |
#s(literal -2 binary64) |
f |
#s(literal -1 binary64) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
f |
n |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
#s(literal 1 binary64) |
(/.f64 f n) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 f n) |
f |
n |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
f |
(-.f64 f n) |
n |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
n |
(/.f64 #s(literal -2 binary64) f) |
#s(literal -2 binary64) |
f |
#s(literal -1 binary64) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (+.f64 f f) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 f f) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
f |
n |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
#s(literal 1 binary64) |
(/.f64 f n) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 f f) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 f n)) | |
| accuracy | 0.11166000976844202 | (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) | |
| accuracy | 32.07641413076949 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) f) | |
| accuracy | 0.125 | (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) | |
| accuracy | 31.52082702082772 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.021816259768442016 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| accuracy | 31.58894666923361 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| accuracy | 32.29538994321997 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0.021816259768442016 | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 41.0ms | 256× | 0 | valid |
Compiled 107 to 23 computations (78.5% saved)
ival-div: 8.0ms (33.1% of total)ival-add: 8.0ms (33.1% of total)ival-mult: 3.0ms (12.4% of total)ival-sub: 2.0ms (8.3% of total)ival-neg: 2.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ()) |
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ()) |
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ()) |
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ()) |
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ()) |
#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt n (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt n (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ f n)) (taylor inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf f) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor 0 n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor 0 n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor 0 n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor 0 n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ f n) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ f n) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ f n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | inf | (+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1) |
| 1.0ms | n | @ | inf | (/ (+ f n) (- n f)) |
| 1.0ms | f | @ | 0 | (+ (* n (/ -2 f)) -1) |
| 0.0ms | f | @ | inf | (/ (+ f f) n) |
| 0.0ms | n | @ | inf | (+ (* n (/ -2 f)) -1) |
| 1× | egg-herbie |
| 13 906× | lower-fma.f64 |
| 13 906× | lower-fma.f32 |
| 3 062× | lower--.f64 |
| 3 062× | lower--.f32 |
| 3 002× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 2803 |
| 1 | 762 | 2497 |
| 2 | 2376 | 2260 |
| 3 | 6710 | 2260 |
| 0 | 8074 | 2071 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(* -2 (/ n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -2 (/ n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -2 (/ n f)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ (+ (* -2 n) (* -1 f)) f) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
(/ -2 f) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(* 2 (/ (pow f 2) (pow n 2))) |
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2))))) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(* 2 (/ (pow f 2) (pow n 2))) |
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2))))) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(* 2 (/ (pow f 2) (pow n 2))) |
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2)) |
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2)) |
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2)) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2))))) |
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n))) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
1 |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
(/ f n) |
(* f (+ (/ 1 f) (/ 1 n))) |
(* f (+ (/ 1 f) (/ 1 n))) |
(* f (+ (/ 1 f) (/ 1 n))) |
(/ f n) |
(* f (+ (/ 1 f) (/ 1 n))) |
(* f (+ (/ 1 f) (/ 1 n))) |
(* f (+ (/ 1 f) (/ 1 n))) |
(/ f n) |
(/ (+ f n) n) |
(/ (+ f n) n) |
(/ (+ f n) n) |
1 |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
1 |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
(+ 1 (/ f n)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
f |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 f) |
(neg.f64 f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(* -1 n) |
(neg.f64 n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 n) f) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
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(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
| 5 028× | lower-/.f32 |
| 5 018× | lower-/.f64 |
| 4 610× | lower-*.f64 |
| 4 610× | lower-*.f32 |
| 2 714× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 116 |
| 0 | 41 | 116 |
| 1 | 170 | 116 |
| 2 | 1436 | 116 |
| 0 | 8305 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 f n) |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
(-.f64 f n) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) f) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (-.f64 f (neg.f64 n)) (neg.f64 (-.f64 n f)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (neg.f64 (-.f64 n f)))) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (neg.f64 (neg.f64 (-.f64 n f))))) |
(-.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 n f))) (/.f64 n (neg.f64 (-.f64 n f)))) |
(-.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 n f))) (/.f64 f (neg.f64 (-.f64 n f)))) |
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n)))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 f n) (neg.f64 (neg.f64 (-.f64 n f)))) |
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (-.f64 n f))) |
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))) |
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f))) |
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n)))) |
(/.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (-.f64 n f)) |
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (-.f64 f n)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (*.f64 (neg.f64 (-.f64 n f)) (+.f64 f n))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 n f)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64))) (neg.f64 (-.f64 n f))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (-.f64 f n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (fma.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))))) |
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n))) |
(*.f64 (-.f64 (neg.f64 n) f) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 n f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n)) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (-.f64 (neg.f64 n) f) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (-.f64 (neg.f64 n) f) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (-.f64 (neg.f64 n) f) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (neg.f64 (-.f64 f n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (+.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 f n))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (+.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(+.f64 f n) |
(+.f64 n f) |
(+.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f)) |
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n))) |
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f))) |
(neg.f64 (-.f64 (neg.f64 n) f)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n)))) |
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f n)))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f)) |
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f n))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f n))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (neg.f64 (-.f64 n f))) |
(/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 f n)) (*.f64 (-.f64 f n) (*.f64 n n))) (*.f64 (-.f64 f n) (-.f64 f n))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
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(/.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (*.f64 n (fma.f64 f f #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) #s(literal 1 binary64)) (*.f64 (fma.f64 f f #s(literal 0 binary64)) n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 f f)) n) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 f f)) (neg.f64 n)) |
(/.f64 (*.f64 (+.f64 f f) #s(literal 1 binary64)) n) |
(/.f64 (*.f64 (+.f64 f f) #s(literal 1 binary64)) (neg.f64 n)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (neg.f64 (*.f64 n (fma.f64 f f #s(literal 0 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (/.f64 #s(literal 1 binary64) n)) (fma.f64 f f #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 f f))) (neg.f64 n)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 f f))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f f) #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (*.f64 (+.f64 f f) #s(literal 1 binary64))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) n))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (fma.f64 f f #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) |
(pow.f64 (*.f64 n (+.f64 f f)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n (+.f64 f f)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f f) n)) |
(*.f64 #s(literal -2 binary64) (/.f64 f n)) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 f) n)) |
(*.f64 (+.f64 f f) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (+.f64 f f) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(*.f64 (+.f64 f f) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 f f) n) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) n)) |
(*.f64 #s(literal 2 binary64) (/.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 f f)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 f f)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (pow.f64 (/.f64 n (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 n #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 (/.f64 (+.f64 f f) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 binary64))) n)) |
(*.f64 (/.f64 (fma.f64 f f #s(literal 0 binary64)) n) (/.f64 (+.f64 f f) (fma.f64 f f #s(literal 0 binary64)))) |
(+.f64 f f) |
(+.f64 (neg.f64 f) (neg.f64 f)) |
(-.f64 #s(literal 0 binary64) (+.f64 f f)) |
(-.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64))) |
(fma.f64 f #s(literal -1 binary64) (neg.f64 f)) |
(fma.f64 #s(literal -1 binary64) f (neg.f64 f)) |
(neg.f64 (+.f64 f f)) |
(/.f64 #s(literal -1 binary64) (+.f64 f f)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f f #s(literal 0 binary64)) (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))))) |
(/.f64 #s(literal 1 binary64) (+.f64 f f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f #s(literal 0 binary64)) (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (fma.f64 f f #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (neg.f64 (fma.f64 f f #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (fma.f64 f f #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (neg.f64 (fma.f64 f f #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (neg.f64 (neg.f64 (fma.f64 f f #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 f f) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 f f))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)))) (neg.f64 (fma.f64 f f #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)))) (neg.f64 (neg.f64 (fma.f64 f f #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (neg.f64 f) (*.f64 f f) (neg.f64 (*.f64 f (*.f64 f f)))) (fma.f64 f f #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 f f) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 f f) (+.f64 f f) (*.f64 #s(literal 0 binary64) (+.f64 f f))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64)) (fma.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64)))))) |
(pow.f64 (+.f64 f f) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 f f #s(literal 0 binary64)) (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) #s(literal -1 binary64)) |
(*.f64 f #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 f f)) |
(*.f64 #s(literal -2 binary64) f) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 2 binary64) f) |
(*.f64 #s(literal 2 binary64) (neg.f64 f)) |
(*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+.f64 (/.f64 f n) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 f n) #s(literal 1 binary64)))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (neg.f64 n)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f n) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) f #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
Compiled 15 173 to 1 443 computations (90.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 823 | 2 | 825 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 824 | 10 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ▶ | 50.1% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ▶ | 52.9% | (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) |
| ▶ | 50.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 50.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
| ▶ | 49.5% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 49.9% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
| ✓ | 50.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
| ✓ | 49.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 172 to 93 computations (45.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (neg.f64 (+.f64 f n)) | |
| cost-diff | 128 | (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) | |
| cost-diff | 1600 | (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) | |
| cost-diff | 0 | (neg.f64 f) | |
| cost-diff | 0 | #s(approx (- n f) (neg.f64 f)) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) | |
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (neg.f64 n) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| cost-diff | 0 | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
| 10 260× | lower-fma.f32 |
| 10 258× | lower-fma.f64 |
| 3 160× | lower-*.f32 |
| 3 152× | lower-*.f64 |
| 2 320× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 183 |
| 0 | 48 | 183 |
| 1 | 92 | 181 |
| 2 | 219 | 169 |
| 3 | 685 | 164 |
| 4 | 2302 | 164 |
| 5 | 4757 | 160 |
| 0 | 8095 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
#s(literal 1 binary64) |
(-.f64 n f) |
n |
f |
(+.f64 f n) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
(+.f64 f n) |
f |
n |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
f |
n |
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) |
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) |
(*.f64 f f) |
(*.f64 (+.f64 f n) (-.f64 n f)) |
(-.f64 n f) |
(neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))) |
(/.f64 (*.f64 n n) (+.f64 f n)) |
(*.f64 n n) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
#s(literal 1 binary64) |
(-.f64 n f) |
n |
f |
(+.f64 f n) |
(+.f64 n f) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
(+.f64 f n) |
(+.f64 n f) |
f |
n |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) |
(/.f64 (+.f64 n f) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (fma.f64 f (neg.f64 f) (*.f64 n n)))) |
(neg.f64 (+.f64 f n)) |
(-.f64 (neg.f64 n) f) |
(+.f64 f n) |
(+.f64 n f) |
f |
n |
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (fma.f64 n (neg.f64 n) (*.f64 f f))) |
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (+.f64 n f))) |
(*.f64 f f) |
(*.f64 (+.f64 f n) (-.f64 n f)) |
(*.f64 (-.f64 n f) (+.f64 n f)) |
(-.f64 n f) |
(neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))) |
(*.f64 n (/.f64 n (-.f64 (neg.f64 n) f))) |
(/.f64 (*.f64 n n) (+.f64 f n)) |
(*.f64 n (/.f64 n (+.f64 n f))) |
(*.f64 n n) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) | |
| accuracy | 0.015625 | (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) | |
| accuracy | 18.0513336386331 | (/.f64 (*.f64 n n) (+.f64 f n)) | |
| accuracy | 22.173668511014448 | (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.015625 | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) | |
| accuracy | 31.624501974842392 | #s(approx (- n f) (neg.f64 f)) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 n) | |
| accuracy | 0.015625 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| accuracy | 31.664703751727203 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| accuracy | 32.07702300018066 | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
| 39.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 173 to 24 computations (86.1% saved)
ival-div: 9.0ms (34.5% of total)ival-mult: 7.0ms (26.9% of total)ival-neg: 4.0ms (15.3% of total)ival-sub: 3.0ms (11.5% of total)ival-add: 2.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ()) |
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ()) |
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ()) |
#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ()) |
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ()) |
#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ()) |
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) (patch (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) (patch (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) (taylor inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 f) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n (pow f 2))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ f n)) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ f n)) 1) n)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 n) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 n) (/ f (pow n 2))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ n f)) 1) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 f) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ n f)) f)) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt n (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt n (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt n (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) (taylor -inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ()) |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | n | @ | inf | (/ (neg (+ f n)) (+ (* (/ (* f f) (* (+ f n) (- n f))) (- n f)) (neg (/ (* n n) (+ f n))))) |
| 2.0ms | f | @ | inf | (+ (* (/ (* f f) (* (+ f n) (- n f))) (- n f)) (neg (/ (* n n) (+ f n)))) |
| 1.0ms | f | @ | 0 | (+ (* (/ (* f f) (* (+ f n) (- n f))) (- n f)) (neg (/ (* n n) (+ f n)))) |
| 1.0ms | n | @ | 0 | (+ (* (/ (* f f) (* (+ f n) (- n f))) (- n f)) (neg (/ (* n n) (+ f n)))) |
| 1.0ms | f | @ | -inf | (+ (* (/ (* f f) (* (+ f n) (- n f))) (- n f)) (neg (/ (* n n) (+ f n)))) |
| 1× | egg-herbie |
| 8 172× | lower-fma.f64 |
| 8 172× | lower-fma.f32 |
| 2 688× | lower-*.f64 |
| 2 688× | lower-*.f32 |
| 2 634× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 604 | 3984 |
| 1 | 1937 | 3372 |
| 2 | 6811 | 3178 |
| 0 | 8269 | 2974 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(/ -1 f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/ 1 n) |
(/ (+ 1 (/ f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/ 1 n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/ 1 n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ -1 f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/ -1 f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f))) |
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1))) |
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1)) |
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n))))) |
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2)))))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2)))))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(/ (pow f 2) (pow n 2)) |
(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4)))) |
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2)))) |
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2)))) |
-1 |
(- (* -1 (/ (+ n (* -1 n)) f)) 1) |
(- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f)))) |
(- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2))))))) |
-1 |
(- (+ (* -1 (/ n f)) (/ n f)) 1) |
(- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1) |
-1 |
(- (* -1 (/ (pow n 2) (pow f 2))) 1) |
(- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1) |
(- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1) |
(/ (pow f 2) (pow n 2)) |
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2)) |
(/ (pow f 2) (pow n 2)) |
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) |
(/ (pow n 2) f) |
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f))) |
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))) |
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1))) |
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* f (- (/ f n) 1))) |
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) |
(/ (pow n 2) f) |
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f) |
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f) |
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f) |
(/ (pow n 2) f) |
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (+.f64 f f) (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 n (/.f64 (neg.f64 (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 (fma.f64 (+.f64 n n) (/.f64 n f) n) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 (*.f64 n n) (/.f64 (+.f64 n n) f) (*.f64 n (+.f64 n n))) f)) f)) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f f)) (/.f64 n (*.f64 f (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 f (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 f (/.f64 f n) f) n))) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/.f64 (+.f64 (/.f64 (+.f64 f (/.f64 (fma.f64 f (/.f64 (*.f64 f f) n) (*.f64 f f)) n)) n) #s(literal 1 binary64)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+.f64 (/.f64 f (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n)))) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 f (*.f64 n n)))) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 n (/.f64 n f) n)) f) #s(literal -1 binary64)) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 n (/.f64 n f) n)) f) #s(literal -1 binary64)) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) (neg.f64 f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (*.f64 n (*.f64 n n)) f)) f) n) f)) (neg.f64 f)) |
(* -1 f) |
(neg.f64 f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(* f (- (/ n f) 1)) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
(* f (- (/ n f) 1)) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
(* f (- (/ n f) 1)) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 n f) f) f) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(* f (+ 1 (/ n f))) |
(fma.f64 f (/.f64 n f) f) |
(* f (+ 1 (/ n f))) |
(fma.f64 f (/.f64 n f) f) |
(* f (+ 1 (/ n f))) |
(fma.f64 f (/.f64 n f) f) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(fma.f64 f (/.f64 n f) f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(fma.f64 f (/.f64 n f) f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(fma.f64 f (/.f64 n f) f) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
n |
(* n (+ 1 (/ f n))) |
(fma.f64 n (/.f64 f n) n) |
(* n (+ 1 (/ f n))) |
(fma.f64 n (/.f64 f n) n) |
(* n (+ 1 (/ f n))) |
(fma.f64 n (/.f64 f n) n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(fma.f64 n (/.f64 f n) n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(fma.f64 n (/.f64 f n) n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(fma.f64 n (/.f64 f n) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 n (/.f64 (neg.f64 (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 (fma.f64 (+.f64 n n) (/.f64 n f) n) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 (*.f64 n n) (/.f64 (+.f64 n n) f) (*.f64 n (+.f64 n n))) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (+.f64 f f) (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f (neg.f64 f)))) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 (*.f64 n n) (/.f64 (+.f64 n n) f) (*.f64 n (+.f64 n n))) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
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(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4)))) |
(*.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) |
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2)))) |
(*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) |
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2)))) |
(*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ n (* -1 n)) f)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) |
(- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2))))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) |
-1 |
#s(literal -1 binary64) |
(- (+ (* -1 (/ n f)) (/ n f)) 1) |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (pow n 2) (pow f 2))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) |
(- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1) |
(fma.f64 (*.f64 n n) (fma.f64 (neg.f64 n) (/.f64 n (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) #s(literal -1 binary64)) |
(- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1) |
(fma.f64 (*.f64 n n) (fma.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 4 binary64))) (/.f64 (*.f64 n n) (pow.f64 f #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) #s(literal -1 binary64)) |
(/ (pow f 2) (pow n 2)) |
(/.f64 (*.f64 f f) (*.f64 n n)) |
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 f f) n) #s(literal 0 binary64)) n) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2)) |
(/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (*.f64 n n)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2)) |
(/.f64 (+.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64)))) (*.f64 n (*.f64 n n)))) (*.f64 n n)) |
(/ (pow f 2) (pow n 2)) |
(/.f64 (*.f64 f f) (*.f64 n n)) |
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 f f) n) #s(literal 0 binary64)) n) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) |
(/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (*.f64 n n)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) |
(/.f64 (fma.f64 f f (/.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64)))) n)) n) n)) (*.f64 n n)) |
(/ (pow n 2) f) |
(/.f64 (*.f64 n n) f) |
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f))) |
(*.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 n (*.f64 f f)))) |
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 (*.f64 n n) (fma.f64 n (+.f64 (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal 1 binary64) f))) |
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (*.f64 n (fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal 1 binary64) f)))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))) |
(+.f64 n (*.f64 (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n) n)) |
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) |
(*.f64 n (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))))) (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 n f) n)) |
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1))) |
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n)) n) |
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1))) |
(fma.f64 (neg.f64 n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 f (*.f64 f f)) n) (*.f64 f f)) n) f) n) n) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* f (- (/ f n) 1))) |
(fma.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) |
(fma.f64 f (fma.f64 f (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (*.f64 n n))) #s(literal -1 binary64)) n) |
(/ (pow n 2) f) |
(/.f64 (*.f64 n n) f) |
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f) |
(/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n (*.f64 n n)) f)) f) |
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f) |
(/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f) |
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f) |
(/.f64 (-.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) (/.f64 (pow.f64 n #s(literal 5 binary64)) (*.f64 f (*.f64 f f)))) f) |
(/ (pow n 2) f) |
(/.f64 (*.f64 n n) f) |
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f)) |
(/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n (*.f64 n n)) f)) f) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
(/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
(/.f64 (fma.f64 n n (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 5 binary64)) f) (pow.f64 n #s(literal 4 binary64))) (neg.f64 f)) (*.f64 n (*.f64 n n))) f)) f) |
| 4 964× | lower-fma.f32 |
| 4 962× | lower-fma.f64 |
| 4 148× | lower-/.f32 |
| 4 136× | lower-/.f64 |
| 3 312× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 48 | 100 |
| 1 | 172 | 100 |
| 2 | 1433 | 100 |
| 0 | 8747 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
(-.f64 n f) |
(+.f64 f n) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
(-.f64 f n) |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) |
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) |
(neg.f64 (+.f64 f n)) |
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 n n) (+.f64 f n)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f))) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))) |
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f))) |
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n)))) |
(-.f64 (/.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f))) |
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 n f))) (+.f64 n f) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 n (-.f64 n f))) |
(neg.f64 (/.f64 (+.f64 n f) (-.f64 f n))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (+.f64 n f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f))) (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (+.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 f n)) (*.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f)) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))) (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) (-.f64 f n)) (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 f n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (-.f64 n f)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))) |
(/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (-.f64 f n) (-.f64 f n))) |
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 n f))) |
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f))) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n)))) |
(/.f64 (*.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) #s(literal -1 binary64)) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 f n))) |
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64)) (*.f64 (-.f64 f n) (-.f64 f n))) |
(/.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (-.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(/.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (neg.f64 (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))) |
(/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f))))) (fma.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f)) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) |
(/.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n)) |
(/.f64 (/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (-.f64 n f)) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (neg.f64 (*.f64 (-.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 f n)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n)))) |
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(*.f64 (neg.f64 (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (*.f64 n n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 n (+.f64 n f)) n) |
(*.f64 (*.f64 (neg.f64 (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(*.f64 (/.f64 (*.f64 n n) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(*.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n)) |
(*.f64 (/.f64 (*.f64 n n) (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 n f)) |
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (*.f64 n n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 n f) (*.f64 n n)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 n n) (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(*.f64 (neg.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (+.f64 n f)))) (-.f64 f n)) |
Compiled 65 420 to 4 549 computations (93% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 125 | 1 | 2 126 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 126 | 10 | 2 136 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 50.1% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ▶ | 87.8% | (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
| ✓ | 50.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 50.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
| ✓ | 49.5% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 49.9% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
| ✓ | 50.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
| ✓ | 49.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 93 to 55 computations (40.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 f n)) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) | |
| cost-diff | 896 | (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
| 4 644× | lower-fma.f64 |
| 4 644× | lower-fma.f32 |
| 3 530× | lower-*.f32 |
| 3 528× | lower-*.f64 |
| 964× | div-sub |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 16 | 49 |
| 1 | 27 | 49 |
| 2 | 50 | 49 |
| 3 | 99 | 49 |
| 4 | 222 | 40 |
| 5 | 423 | 40 |
| 6 | 1147 | 40 |
| 7 | 1877 | 40 |
| 8 | 2494 | 40 |
| 9 | 2891 | 40 |
| 10 | 3035 | 40 |
| 11 | 3055 | 40 |
| 12 | 3057 | 40 |
| 13 | 3949 | 40 |
| 14 | 4866 | 40 |
| 15 | 6195 | 40 |
| 16 | 7059 | 40 |
| 17 | 7708 | 40 |
| 0 | 8184 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
n |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
#s(literal -1 binary64) |
(/.f64 f n) |
f |
(-.f64 f n) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) |
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(-.f64 (neg.f64 n) f) |
n |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
#s(literal -1 binary64) |
(/.f64 f n) |
f |
(-.f64 f n) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (/.f64 f n)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) | |
| accuracy | 7.470116578207813 | (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
| 20.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
Compiled 35 to 12 computations (65.7% saved)
ival-add: 4.0ms (29.7% of total)ival-div: 3.0ms (22.3% of total)ival-mult: 2.0ms (14.8% of total)ival-sub: 2.0ms (14.8% of total)ival-neg: 1.0ms (7.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 f) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor -inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) (taylor inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) (taylor inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) (taylor -inf n) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor -inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor 0 n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 n) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ f n)) (taylor inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ f n)) (taylor -inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor -inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor -inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ (/ 1 f) (/ 1 n)))) (taylor -inf f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ f n)) (taylor 0 n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 n) f) n) (taylor 0 n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 n) f) n) (taylor 0 n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 n) f) n) (taylor 0 n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor -inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor -inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ f n)) 1) (taylor -inf n) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (* n (- -1 (/ f n))) |
| 0.0ms | n | @ | inf | (* n (- -1 (/ f n))) |
| 0.0ms | f | @ | inf | (* n (- -1 (/ f n))) |
| 0.0ms | f | @ | 0 | (* n (- -1 (/ f n))) |
| 0.0ms | n | @ | -inf | (* n (- -1 (/ f n))) |
| 1× | egg-herbie |
| 12 488× | lower-fma.f64 |
| 12 488× | lower-fma.f32 |
| 3 834× | lower-*.f64 |
| 3 834× | lower-*.f32 |
| 1 708× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 623 |
| 1 | 421 | 588 |
| 2 | 1257 | 535 |
| 3 | 5148 | 527 |
| 0 | 8423 | 503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 f) |
(+ (* -1 f) (* -1 n)) |
(+ (* -1 f) (* -1 n)) |
(+ (* -1 f) (* -1 n)) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(+ (* -1 f) (* -1 n)) |
(+ (* -1 f) (* -1 n)) |
(+ (* -1 f) (* -1 n)) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
-1 |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
(* -1 (/ f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (/ f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(* -1 (/ f n)) |
(/ (- (* -1 n) f) n) |
(/ (- (* -1 n) f) n) |
(/ (- (* -1 n) f) n) |
-1 |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
-1 |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
(- (* -1 (/ f n)) 1) |
| Outputs |
|---|
(* -1 f) |
(neg.f64 f) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(* -1 n) |
(neg.f64 n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 n) |
(neg.f64 n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)))) f) (+.f64 n n)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(* -1 n) |
(neg.f64 n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(/.f64 (neg.f64 f) n) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(/.f64 (neg.f64 f) n) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (* f (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(/.f64 (neg.f64 f) n) |
(/ (- (* -1 n) f) n) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(/ (- (* -1 n) f) n) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(/ (- (* -1 n) f) n) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
(- (* -1 (/ f n)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
| 3 830× | lower-fma.f64 |
| 3 830× | lower-fma.f32 |
| 3 774× | lower-*.f32 |
| 3 772× | lower-*.f64 |
| 3 684× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 16 | 40 |
| 1 | 69 | 40 |
| 2 | 522 | 40 |
| 0 | 9117 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 f n)) |
| Outputs |
|---|
(+.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n)) |
(+.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n)) |
(+.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (neg.f64 n)) |
(+.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (*.f64 n #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 n (/.f64 (*.f64 n (neg.f64 f)) n))) |
(fma.f64 n #s(literal -1 binary64) (/.f64 (*.f64 n (neg.f64 f)) n)) |
(fma.f64 n (/.f64 (neg.f64 f) n) (neg.f64 n)) |
(fma.f64 n (/.f64 (neg.f64 f) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) n (/.f64 (*.f64 n (neg.f64 f)) n)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 f n) n) (neg.f64 n)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 f n) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (/.f64 f n) (neg.f64 n) (neg.f64 n)) |
(fma.f64 (/.f64 f n) (neg.f64 n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) n) n) (neg.f64 n)) |
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) n) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) (neg.f64 n)) |
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (/.f64 (neg.f64 f) n) n (neg.f64 n)) |
(fma.f64 (/.f64 (neg.f64 f) n) n (*.f64 n #s(literal -1 binary64))) |
(fma.f64 f (*.f64 (/.f64 #s(literal -1 binary64) n) n) (neg.f64 n)) |
(fma.f64 f (*.f64 (/.f64 #s(literal -1 binary64) n) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal 1 binary64) n) (neg.f64 n)) |
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal 1 binary64) n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 f n) (neg.f64 n)) |
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 f n) (*.f64 n #s(literal -1 binary64))) |
(fma.f64 (*.f64 n (/.f64 f n)) #s(literal -1 binary64) (neg.f64 n)) |
(fma.f64 (*.f64 n (/.f64 f n)) #s(literal -1 binary64) (*.f64 n #s(literal -1 binary64))) |
(/.f64 n (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n))) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(/.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(/.f64 (neg.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n)) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))) |
(/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (pow.f64 (/.f64 (*.f64 n (neg.f64 f)) n) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n)) (*.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (neg.f64 f)) n) #s(literal 3 binary64))) (fma.f64 (*.f64 n #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n)) (*.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n))))) |
(/.f64 (-.f64 (*.f64 n n) (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n))) (-.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n))) |
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n))) (-.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n))) |
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) n) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) n)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (/.f64 n (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) |
(*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (/.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(*.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(*.f64 (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (-.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(*.f64 (/.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(*.f64 (/.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (-.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
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(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 f) n) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (*.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f f) f))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f f) f)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f f) f)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (fma.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) f) (*.f64 n (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) |
(*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (-.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))) |
Compiled 8 059 to 763 computations (90.5% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 0 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 325 | 10 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 50.1% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ✓ | 87.8% | (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
| ✓ | 50.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 50.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
| ✓ | 49.5% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 49.9% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
| ✓ | 50.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
| ✓ | 49.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 206 to 91 computations (55.8% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
3 calls:
| 5.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 4.0ms | n |
| 4.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | f |
| 100.0% | 1 | n |
| 100.0% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
3 calls:
| 4.0ms | n |
| 3.0ms | f |
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | f |
| 77.8% | 3 | n |
| 98.2% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| Outputs |
|---|
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | n |
| 1.0ms | f |
| 1.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | f |
| 49.5% | 1 | n |
| 49.5% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9430721192154834 | 0.999997267156485 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9430721192154834 | 0.999997267156485 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9430721192154834 | 0.999997267156485 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9430721192154834 | 0.999997267156485 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -0.9430721192154834 | 0.999997267156485 |
| 4.0ms | 240× | 0 | valid |
Compiled 163 to 131 computations (19.6% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 62× | unsub-neg_binary64 |
| 38× | neg-mul-1_binary64 |
| 22× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 182 |
| 1 | 53 | 182 |
| 2 | 67 | 182 |
| 3 | 78 | 177 |
| 4 | 92 | 177 |
| 5 | 118 | 177 |
| 6 | 133 | 177 |
| 7 | 157 | 177 |
| 8 | 186 | 177 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
| 14 778× | lower-fma.f64 |
| 14 778× | lower-fma.f32 |
| 13 906× | lower-fma.f64 |
| 13 906× | lower-fma.f32 |
| 3 728× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 2803 |
| 1 | 762 | 2497 |
| 2 | 2376 | 2260 |
| 3 | 6710 | 2260 |
| 0 | 8074 | 2071 |
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 46 | 18 |
| 2 | 327 | 17 |
| 0 | 5530 | 17 |
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5180 | 459 |
| 0 | 8647 | 432 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 218 to 89 computations (59.2% saved)
Compiled 252 to 62 computations (75.4% saved)
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