
Time bar (total: 7.3s)
| 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)
| 349.0ms | 8 256× | 0 | valid |
ival-div: 60.0ms (30.8% of total)ival-add: 49.0ms (25.2% of total)ival-sub: 39.0ms (20% of total)ival-neg: 39.0ms (20% of total)ival-true: 5.0ms (2.6% 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 |
| 32.0ms | 512× | 0 | valid |
Compiled 54 to 22 computations (59.3% saved)
ival-sub: 3.0ms (26% of total)ival-div: 3.0ms (26% of total)ival-add: 3.0ms (26% 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 |
|---|---|---|
| ▶ | 99.9% | (/.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 | 0.037441259768442016 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 28.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
ival-div: 18.0ms (81.7% of total)ival-sub: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)ival-neg: 1.0ms (4.5% 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))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 10 | 659 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 650 | 10 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 50.2% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| ▶ | 51.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) | |
| ▶ | 100.0% | (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
| 49.4% | #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))) | |
| 51.1% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) | |
| ▶ | 50.1% | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
| 48.9% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) | |
| ▶ | 49.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 188 to 110 computations (41.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| cost-diff | 0 | (+.f64 f f) | |
| cost-diff | 0 | (/.f64 (+.f64 f f) n) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) | |
| 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 f n) | |
| cost-diff | 0 | (neg.f64 n) | |
| cost-diff | 128 | (/.f64 (neg.f64 n) (-.f64 f n)) | |
| cost-diff | 896 | (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
| 768× | lower-fma.f64 |
| 768× | lower-fma.f32 |
| 432× | lower-*.f64 |
| 432× | lower-*.f32 |
| 306× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 37 | 120 |
| 1 | 58 | 120 |
| 2 | 99 | 107 |
| 3 | 168 | 107 |
| 4 | 274 | 107 |
| 5 | 465 | 107 |
| 6 | 985 | 107 |
| 7 | 1348 | 107 |
| 8 | 1622 | 107 |
| 9 | 1719 | 107 |
| 10 | 1783 | 107 |
| 11 | 1800 | 107 |
| 0 | 1800 | 105 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
(/.f64 f (-.f64 f n)) |
#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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
f |
n |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 f n) |
f |
n |
(-.f64 n f) |
| Outputs |
|---|
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 n (-.f64 n f)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
(/.f64 f (-.f64 f n)) |
#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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
f |
n |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 f n) |
(+.f64 n f) |
f |
n |
(-.f64 n f) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0.037441259768442016 | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| accuracy | 0 | (/.f64 (+.f64 f f) n) | |
| accuracy | 0 | (+.f64 f f) | |
| accuracy | 0.009070031620653759 | (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) | |
| accuracy | 31.921281224064625 | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.037441259768442016 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| accuracy | 31.51831276874132 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| accuracy | 32.113225812055056 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| accuracy | 0 | (neg.f64 n) | |
| accuracy | 0.0078125 | (/.f64 f (-.f64 f n)) | |
| accuracy | 0.02734375 | (/.f64 (neg.f64 n) (-.f64 f n)) | |
| accuracy | 0.0390625 | (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
| 66.0ms | 256× | 0 | valid |
Compiled 101 to 20 computations (80.2% saved)
ival-div: 8.0ms (43.2% of total)ival-sub: 3.0ms (16.2% of total)ival-add: 3.0ms (16.2% of total)ival-neg: 3.0ms (16.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f 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 #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 #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) #<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 (+.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 (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 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 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 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 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 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 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 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 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ n f)) (taylor 0 n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) (taylor inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ n f)) (taylor inf f) (#s(alt (/.f64 (neg.f64 n) (-.f64 f n)) (patch (/.f64 (neg.f64 n) (-.f64 f n)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
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#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
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#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ n f)) (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ f (/ (pow f 2) n)) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) (taylor -inf n) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | n | @ | 0 | (+ 1 (/ (+ f f) n)) |
| 1.0ms | f | @ | inf | (- (/ (neg n) (- f n)) (/ f (- f n))) |
| 1.0ms | n | @ | -inf | (- (/ (neg n) (- f n)) (/ f (- f n))) |
| 0.0ms | f | @ | inf | (/ (+ f f) n) |
| 0.0ms | f | @ | inf | (+ 1 (/ (+ f f) n)) |
| 1× | egg-herbie |
| 15 882× | lower-fma.f64 |
| 15 882× | lower-fma.f32 |
| 4 010× | lower-*.f64 |
| 4 010× | lower-*.f32 |
| 3 146× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 430 | 3158 |
| 1 | 1356 | 2774 |
| 2 | 4024 | 2555 |
| 0 | 8607 | 2315 |
| 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 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 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 |
(- (* -2 (/ n f)) 1) |
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1) |
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f) |
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(* -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 (* -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 |
(+ 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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 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 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 (* 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 (/ f n)) |
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
1 |
(+ 1 (/ n f)) |
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) |
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) |
1 |
(+ 1 (/ n f)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) |
1 |
(+ 1 (/ n f)) |
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2))))) |
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))) |
(* -1 (/ f n)) |
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(* -1 (/ f n)) |
(* -1 (/ (+ f (/ (pow f 2) n)) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
| 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 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #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 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64)) |
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 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f)) |
(* -1 (/ n f)) |
(/.f64 n (neg.f64 f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (fma.f64 n (neg.f64 (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
(* 2 f) |
(+.f64 f f) |
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 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) 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))) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f) #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 (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) 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 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #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))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) 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))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64)) |
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 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 f n) n)) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 f n) n)) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (/.f64 (*.f64 f n) n)) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 f n) n)) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 f n) n)) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (/.f64 (*.f64 f n) 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 f n) f) f) |
(* f (- (/ n f) 1)) |
(-.f64 (/.f64 (*.f64 f n) f) f) |
(* f (- (/ n f) 1)) |
(-.f64 (/.f64 (*.f64 f n) f) f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 f n) f) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 f n) f) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 (/.f64 (*.f64 f n) f) f) |
(* -1 (/ f n)) |
(/.f64 f (neg.f64 n)) |
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (/.f64 #s(literal -1 binary64) n))) |
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (fma.f64 f (fma.f64 f (/.f64 (neg.f64 f) (pow.f64 n #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal -1 binary64) (*.f64 n n)))) (/.f64 #s(literal -1 binary64) n))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ n f)) |
(+.f64 (/.f64 n f) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) |
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ n f)) |
(+.f64 (/.f64 n f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) |
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ n f)) |
(+.f64 (/.f64 n f) #s(literal 1 binary64)) |
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2))))) |
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f)) |
(* -1 (/ f n)) |
(/.f64 f (neg.f64 n)) |
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n) |
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n) |
(neg.f64 (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (*.f64 n (*.f64 n n)))) (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f)) n) |
(* -1 (/ f n)) |
(/.f64 f (neg.f64 n)) |
(* -1 (/ (+ f (/ (pow f 2) n)) n)) |
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) |
(neg.f64 (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(neg.f64 (/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n)) |
| 5 618× | lower-*.f64 |
| 5 618× | lower-*.f32 |
| 5 242× | lower-/.f32 |
| 5 232× | lower-/.f64 |
| 2 612× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 102 |
| 0 | 37 | 99 |
| 1 | 153 | 94 |
| 2 | 1407 | 94 |
| 0 | 8963 | 92 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(neg.f64 n) |
(-.f64 f n) |
#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) |
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(/.f64 (+.f64 f f) n) |
(+.f64 f f) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 f n) |
(-.f64 n f) |
(/.f64 f (-.f64 f n)) |
| Outputs |
|---|
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))))) |
(+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n)))) |
(+.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 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))) |
(-.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) |
(-.f64 (/.f64 (neg.f64 (*.f64 n (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))) |
(-.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (-.f64 f (neg.f64 n)) (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f)))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))))))) (/.f64 (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))))) (/.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))))) |
(-.f64 (/.f64 (+.f64 (neg.f64 f) #s(literal 0 binary64)) (-.f64 f n)) (/.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 (neg.f64 n) (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 n f))) (/.f64 (*.f64 (-.f64 f n) (neg.f64 f)) (*.f64 (-.f64 f n) (-.f64 n f)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (-.f64 f n) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) f) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 n f))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 n f)))) |
(-.f64 (/.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f)))) |
(-.f64 (/.f64 (*.f64 n (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 (-.f64 n f) f) (*.f64 (-.f64 n f) (-.f64 f n)))) |
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(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))) |
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f))) |
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f)) |
(*.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 (-.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (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 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (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 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 (-.f64 n f) (-.f64 f n))) |
(+.f64 n (neg.f64 f)) |
(+.f64 (neg.f64 f) n) |
(-.f64 n f) |
(-.f64 #s(literal 0 binary64) (-.f64 f n)) |
(-.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (+.f64 n f) (*.f64 n n))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f (+.f64 n f) (*.f64 n n)))) |
(-.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f))) |
(-.f64 (+.f64 n #s(literal 0 binary64)) f) |
(-.f64 (/.f64 (*.f64 f (*.f64 f f)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 (*.f64 n (*.f64 n n)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f))))) |
(-.f64 (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) f)) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f))) |
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (neg.f64 f))) (/.f64 (*.f64 f f) (-.f64 n (neg.f64 f)))) |
(fma.f64 f #s(literal -1 binary64) n) |
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (neg.f64 f)) |
(fma.f64 #s(literal -1 binary64) f n) |
(fma.f64 #s(literal 1 binary64) n (neg.f64 f)) |
(neg.f64 (-.f64 f n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f)))) |
(/.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))) |
(/.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f)) (fma.f64 f (+.f64 n f) (*.f64 n n))) |
(/.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f)) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n (neg.f64 f))))) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (neg.f64 n) f)) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (+.f64 n f)) |
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n (neg.f64 f))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (neg.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n (neg.f64 f)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 (neg.f64 n) f)) |
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (neg.f64 (-.f64 n (neg.f64 f)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f))))) |
(/.f64 (-.f64 (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (+.f64 n f) (*.f64 n n))) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (fma.f64 f (+.f64 n f) (*.f64 n n)))) |
(/.f64 (-.f64 (*.f64 (*.f64 n n) (+.f64 n f)) (*.f64 (+.f64 n f) (*.f64 f f))) (*.f64 (+.f64 n f) (+.f64 n f))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f)))) (neg.f64 (neg.f64 (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f)))) (+.f64 n f)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n)))) (-.f64 (neg.f64 n) f)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n)))) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))) |
(/.f64 (fma.f64 (neg.f64 f) (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) n)))) |
(pow.f64 (/.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 f n)) |
(*.f64 (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) |
(*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (-.f64 n f) (/.f64 #s(literal -1 binary64) (-.f64 n f)))) |
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.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 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n)) |
(*.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n)))) (/.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 (-.f64 n f) (+.f64 n f))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) f)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f))) |
(neg.f64 (/.f64 f (-.f64 n f))) |
(/.f64 f (-.f64 f n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 f) (-.f64 n f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) f)))) |
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 f n)) |
(/.f64 (neg.f64 (neg.f64 f)) (-.f64 f n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 f))) (-.f64 n f)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) f)) (*.f64 (-.f64 f n) (-.f64 f n))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (*.f64 (-.f64 f n) (-.f64 f n))) |
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (-.f64 n f)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (-.f64 n f)) |
(pow.f64 (/.f64 (-.f64 f n) f) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 f (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 #s(literal -1 binary64) (/.f64 f (-.f64 n f))) |
(*.f64 (neg.f64 f) (/.f64 #s(literal -1 binary64) (-.f64 f n))) |
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 f n))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) f) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f))) |
(*.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))) |
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f)) |
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 f n))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 f (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 f (-.f64 f n))) |
(*.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal -1 binary64) (-.f64 f n))) |
Compiled 51 438 to 3 223 computations (93.7% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 023 | 6 | 2 029 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 028 | 11 | 2 039 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ▶ | 50.5% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ▶ | 50.2% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 51.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| ▶ | 100.0% | (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
| 49.4% | #s(approx (/ (+ f n) (- n f)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))) | |
| ▶ | 51.1% | #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
| ▶ | 48.9% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
| ✓ | 49.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 172 to 101 computations (41.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 n n) | |
| cost-diff | 0 | (/.f64 (+.f64 n n) f) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) | |
| cost-diff | 0 | #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) | |
| 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 (-.f64 f n)) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (/.f64 n (-.f64 n f)) | |
| cost-diff | 896 | (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
| 960× | lower-fma.f64 |
| 960× | lower-fma.f32 |
| 560× | lower-*.f64 |
| 560× | lower-*.f32 |
| 360× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 120 |
| 0 | 38 | 120 |
| 1 | 56 | 120 |
| 2 | 92 | 120 |
| 3 | 168 | 120 |
| 4 | 295 | 116 |
| 5 | 541 | 116 |
| 6 | 1097 | 116 |
| 7 | 1692 | 116 |
| 8 | 2098 | 116 |
| 9 | 2164 | 116 |
| 10 | 2201 | 116 |
| 11 | 2218 | 116 |
| 0 | 2218 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(/.f64 n (-.f64 n f)) |
n |
(-.f64 n f) |
f |
(/.f64 f (-.f64 f n)) |
(-.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) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 n n) f) |
(+.f64 n n) |
n |
f |
| Outputs |
|---|
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
n |
(-.f64 n f) |
f |
(/.f64 f (-.f64 f n)) |
(-.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 (+.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) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 n n) f) |
(+.f64 n n) |
n |
f |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (+.f64 n n) f) | |
| accuracy | 0 | (+.f64 n n) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) | |
| accuracy | 31.315815340893874 | #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) | |
| accuracy | 0 | (+.f64 f n) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.037441259768442016 | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) | |
| accuracy | 31.570031617021083 | #s(approx (- n f) (neg.f64 f)) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 n) | |
| accuracy | 0.037441259768442016 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| accuracy | 31.996621224251154 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| accuracy | 32.681420350783526 | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0.0078125 | (/.f64 f (-.f64 f n)) | |
| accuracy | 0.02734375 | (/.f64 n (-.f64 n f)) | |
| accuracy | 0.0390625 | (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
| 37.0ms | 256× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
ival-div: 10.0ms (45.6% of total)ival-sub: 6.0ms (27.4% of total)ival-neg: 3.0ms (13.7% of total)ival-add: 2.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ()) |
#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ()) |
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ()) |
#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.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 (+.f64 f n) (patch (+.f64 f n) #<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 #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) (patch (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ()) |
#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 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 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 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 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) (taylor inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))) (taylor inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n))) (taylor -inf n) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 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 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 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 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2)))) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))) (taylor inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ n f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) (taylor -inf f) (#s(alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (patch (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ n f)) (taylor 0 n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) (taylor inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) (taylor 0 f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ n f)) (taylor inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) (taylor inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) (taylor inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) (taylor inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ n f)) (taylor -inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ n (/ (pow n 2) f)) f)) (taylor -inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) (taylor -inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.f64 n f)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) (taylor -inf f) (#s(alt (/.f64 n (-.f64 n f)) (patch (/.f64 n (-.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>) () ())) ()) |
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 f) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ f n)) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) (taylor 0 f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ n f)) (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) (taylor inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ n f)) (taylor -inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) (taylor -inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) (taylor -inf f) (#s(alt (/.f64 f (-.f64 f n)) (patch (/.f64 f (-.f64 f n)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ()) |
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#s(alt -1 (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n 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 #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) (patch #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 f) (* 2 n)) f) (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) (patch (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 f) (* 2 n)) f) (taylor 0 f) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) (patch (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ n f)) (taylor inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ n f)) (taylor inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ n f)) (taylor -inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ n f)) (taylor -inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ n f)) (taylor -inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ n f)) (taylor -inf f) (#s(alt (/.f64 (+.f64 n n) f) (patch (/.f64 (+.f64 n n) f) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor 0 n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor 0 n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor 0 n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor 0 n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
#s(alt (* 2 n) (taylor -inf n) (#s(alt (+.f64 n n) (patch (+.f64 n n) #<representation binary64>) () ())) ()) |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (- (/ n (- n f)) (/ f (- f n))) |
| 0.0ms | n | @ | -inf | (/ (+ n n) f) |
| 0.0ms | f | @ | 0 | (- -1 (/ (+ n n) f)) |
| 0.0ms | n | @ | 0 | (- -1 (/ (+ n n) f)) |
| 0.0ms | n | @ | inf | (/ (+ n n) f) |
| 1× | egg-herbie |
| 13 082× | lower-fma.f64 |
| 13 082× | lower-fma.f32 |
| 4 086× | lower-*.f64 |
| 4 086× | lower-*.f32 |
| 2 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 3343 |
| 1 | 1382 | 3098 |
| 2 | 4193 | 2731 |
| 0 | 8158 | 2504 |
| 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 (* 2 (/ f n))) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 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 |
(- (* -2 (/ n f)) 1) |
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2)))) |
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) 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))))) |
(* -1 (/ f n)) |
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
1 |
(+ 1 (/ n f)) |
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) |
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) |
1 |
(+ 1 (/ n f)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) |
1 |
(+ 1 (/ n f)) |
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2))))) |
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))) |
(* -1 (/ f n)) |
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n) |
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(* -1 (/ f n)) |
(* -1 (/ (+ f (/ (pow f 2) n)) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (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 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))) |
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 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 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 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 |
(- (* -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)) |
(/ (- (* -1 f) (* 2 n)) f) |
(/ (- (* -1 f) (* 2 n)) f) |
(/ (- (* -1 f) (* 2 n)) 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 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 (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 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 f (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (/.f64 (+.f64 f 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 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 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))) |
(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 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 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 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2)))) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))) |
(-.f64 (neg.f64 (fma.f64 (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 n f) n) (/.f64 (+.f64 n n) f))) (fma.f64 (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 n f) n) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f)) |
(* -1 (/ n f)) |
(/.f64 n (neg.f64 f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) (neg.f64 f)) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
(* -1 (/ n f)) |
(/.f64 n (neg.f64 f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) |
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(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 n (+.f64 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 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 (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))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #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))))) |
(+.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 (/ 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))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #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 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 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 n (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (*.f64 n (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n (*.f64 n (/.f64 f n))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (*.f64 n (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (*.f64 n (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n (*.f64 n (/.f64 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) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
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 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 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 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n 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 #s(literal -2 binary64) (/.f64 n 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 (/.f64 (-.f64 (neg.f64 n) n) (*.f64 f (*.f64 f f))) (*.f64 n n) (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 n (+.f64 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 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n 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 (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))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #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))))) |
(+.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 (/ 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))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #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)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(/ (- (* -1 f) (* 2 n)) f) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(/ (- (* -1 f) (* 2 n)) f) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(/ (- (* -1 f) (* 2 n)) f) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 (/ n f)) |
(/.f64 (+.f64 n n) f) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
(* 2 n) |
(+.f64 n n) |
| 5 484× | lower-*.f64 |
| 5 484× | lower-*.f32 |
| 5 104× | lower-/.f32 |
| 5 094× | lower-/.f64 |
| 2 568× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 107 |
| 0 | 38 | 107 |
| 1 | 149 | 107 |
| 2 | 1339 | 107 |
| 0 | 8477 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(/.f64 n (-.f64 n f)) |
(-.f64 n f) |
(/.f64 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))) |
(+.f64 f n) |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(/.f64 (+.f64 n n) f) |
(+.f64 n n) |
| Outputs |
|---|
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 f n))) |
(+.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 n f))) |
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 (*.f64 n (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f))) (/.f64 (*.f64 f (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 n f)))) |
(-.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))))) |
(-.f64 (/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (-.f64 n f) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))) |
(-.f64 (/.f64 (*.f64 n (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (-.f64 n f) (neg.f64 f)) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) f) (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n)))) |
(-.f64 (/.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)) (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 (-.f64 f n))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 n) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) f) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) f)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 n) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 f)) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n))))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 f n)))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 f n))))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (neg.f64 f) (-.f64 f n))) |
(fma.f64 f (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 n (-.f64 n f))) |
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(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))) |
(+.f64 n f) |
(+.f64 f n) |
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(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f))) |
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(-.f64 #s(literal 0 binary64) f) |
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(exp.f64 (*.f64 (log.f64 (*.f64 f (+.f64 n n))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 n n) #s(literal 1 binary64))) (neg.f64 f)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) f))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) f))) (neg.f64 (fma.f64 n n #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) f))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (/.f64 (+.f64 n n) #s(literal 1 binary64))) (neg.f64 f)) |
(pow.f64 (*.f64 f (+.f64 n n)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 f (+.f64 n n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 f (+.f64 n n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n n) f)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(*.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) f)) |
(*.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) (neg.f64 f))) |
(*.f64 (+.f64 n n) (neg.f64 (/.f64 #s(literal 1 binary64) f))) |
(*.f64 (/.f64 (+.f64 n n) f) #s(literal -1 binary64)) |
(*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) f)) |
(*.f64 (/.f64 #s(literal 1 binary64) f) (+.f64 n n)) |
(*.f64 #s(literal 2 binary64) (/.f64 n f)) |
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) f))) |
(*.f64 (/.f64 n f) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 n) f)) |
(*.f64 (pow.f64 (/.f64 f (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 f #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 0 binary64) f) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 (+.f64 n n) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) f) (/.f64 (neg.f64 n) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) f) (/.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n n #s(literal 0 binary64)))) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) f)) |
(*.f64 (/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) f) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))) f)) |
(*.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 n n #s(literal 0 binary64)) f) (/.f64 (+.f64 n n) (fma.f64 n n #s(literal 0 binary64)))) |
(+.f64 n n) |
(+.f64 (neg.f64 n) (neg.f64 n)) |
(exp.f64 (*.f64 (log.f64 (+.f64 n n)) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 n n)) |
(-.f64 (/.f64 (*.f64 n n) #s(literal 0 binary64)) (/.f64 (*.f64 n n) #s(literal 0 binary64))) |
(fma.f64 n #s(literal -1 binary64) (neg.f64 n)) |
(fma.f64 #s(literal -1 binary64) n (neg.f64 n)) |
(neg.f64 (+.f64 n n)) |
(/.f64 #s(literal 1 binary64) (+.f64 n n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n #s(literal 0 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 n n #s(literal 0 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 n n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n n #s(literal 0 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (fma.f64 n n #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (neg.f64 (fma.f64 n n #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) (fma.f64 n n #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) (neg.f64 (fma.f64 n n #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) (neg.f64 (neg.f64 (fma.f64 n n #s(literal 0 binary64))))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 3 binary64)) (pow.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 n n #s(literal 0 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) #s(literal 3 binary64)) (pow.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 n n #s(literal 0 binary64))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 n n) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 n n))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)))) (neg.f64 (fma.f64 n n #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)))) (neg.f64 (neg.f64 (fma.f64 n n #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (neg.f64 n) (*.f64 n n) (neg.f64 (*.f64 n (*.f64 n n)))) (fma.f64 n n #s(literal 0 binary64))) |
(pow.f64 (+.f64 n n) #s(literal -1 binary64)) |
(pow.f64 (+.f64 n n) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (fma.f64 n n #s(literal 0 binary64)) (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n))) #s(literal -1 binary64)) |
(*.f64 n #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 n n)) |
(*.f64 (+.f64 n n) (*.f64 (+.f64 n n) (+.f64 n n))) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) |
(*.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64)))) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 #s(literal 2 binary64) (neg.f64 n)) |
(*.f64 (*.f64 (+.f64 n n) (+.f64 n n)) (+.f64 n n)) |
(*.f64 #s(literal -2 binary64) n) |
(*.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) |
(*.f64 #s(literal 8 binary64) (neg.f64 (*.f64 n (*.f64 n n)))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 n n #s(literal 0 binary64)) (+.f64 n n)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n #s(literal 0 binary64))) #s(literal 3 binary64))) |
(*.f64 #s(literal -8 binary64) (*.f64 n (*.f64 n n))) |
Compiled 17 120 to 1 875 computations (89% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 977 | 1 | 978 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 978 | 11 | 989 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 50.5% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ✓ | 50.2% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 51.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 100.0% | (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
| ▶ | 49.4% | #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.1% | #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
| ✓ | 48.9% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
| ✓ | 49.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 102 to 60 computations (41.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 n f) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (/.f64 (-.f64 n f) (+.f64 n f)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| cost-diff | 0 | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 f n) | |
| cost-diff | 0 | (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
| 3 176× | lower-fma.f32 |
| 3 172× | lower-fma.f64 |
| 1 616× | lower-*.f64 |
| 1 616× | lower-*.f32 |
| 706× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 71 |
| 0 | 26 | 69 |
| 1 | 50 | 69 |
| 2 | 112 | 69 |
| 3 | 185 | 69 |
| 4 | 283 | 69 |
| 5 | 569 | 69 |
| 6 | 933 | 69 |
| 7 | 1590 | 69 |
| 8 | 3208 | 69 |
| 9 | 4104 | 69 |
| 10 | 4394 | 69 |
| 11 | 4457 | 69 |
| 12 | 4461 | 69 |
| 13 | 4461 | 69 |
| 14 | 4699 | 69 |
| 15 | 4803 | 69 |
| 16 | 4803 | 69 |
| 17 | 4803 | 69 |
| 18 | 4803 | 69 |
| 19 | 4803 | 69 |
| 0 | 4803 | 69 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 f n) |
f |
n |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(-.f64 n f) |
n |
f |
(+.f64 n f) |
| Outputs |
|---|
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (+ f n) (- n f)) (fma.f64 f (/.f64 (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) n) #s(literal 1 binary64))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 f (/.f64 (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) n) #s(literal 1 binary64)) |
(/.f64 f n) |
f |
n |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(/.f64 (-.f64 n f) (+.f64 f n)) |
(-.f64 n f) |
n |
f |
(+.f64 n f) |
(+.f64 f n) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 n f) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 n f) (+.f64 n f)) | |
| accuracy | 0.03515625 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) n) | |
| accuracy | 0.078125 | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) | |
| accuracy | 0.11556625976844201 | (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 32.374260700909836 | #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
| 27.0ms | 256× | 0 | valid |
Compiled 64 to 18 computations (71.9% saved)
ival-div: 8.0ms (46.3% of total)ival-add: 5.0ms (28.9% of total)ival-mult: 3.0ms (17.3% of total)ival-sub: 1.0ms (5.8% 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 #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 f n) (patch (/.f64 f n) #<representation binary64>) () ()) |
#s(alt (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (patch (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.f64 n f)) #<representation binary64>) () ()) |
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ()) |
#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<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 #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<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 #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 f) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt f (taylor 0 n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (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 (/ f n))) (taylor inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* n (+ 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 (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* n (- (* -1 (/ 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 (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt f (taylor inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt f (taylor -inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor 0 n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor 0 n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor 0 n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor 0 n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 2 binary64) n) (patch (/.f64 #s(literal 2 binary64) n) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | f | @ | 0 | (+ (* (/ f n) (+ (* f (/ 2 n)) 2)) 1) |
| 0.0ms | f | @ | inf | (+ (* (/ f n) (+ (* f (/ 2 n)) 2)) 1) |
| 0.0ms | n | @ | -inf | (+ (* (/ f n) (+ (* f (/ 2 n)) 2)) 1) |
| 0.0ms | n | @ | 0 | (+ (* (/ f n) (+ (* f (/ 2 n)) 2)) 1) |
| 0.0ms | f | @ | -inf | (+ (* (/ f n) (+ (* f (/ 2 n)) 2)) 1) |
| 1× | egg-herbie |
| 14 450× | lower-fma.f64 |
| 14 450× | lower-fma.f32 |
| 3 428× | lower-*.f64 |
| 3 428× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 1672 |
| 1 | 818 | 1542 |
| 2 | 2382 | 1391 |
| 3 | 7298 | 1391 |
| 0 | 8160 | 1263 |
| 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))) |
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))) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
(/ f n) |
2 |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(* 2 (/ f n)) |
(/ (+ (* 2 f) (* 2 n)) n) |
(/ (+ (* 2 f) (* 2 n)) n) |
(/ (+ (* 2 f) (* 2 n)) n) |
2 |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
2 |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
(+ 2 (* 2 (/ f n))) |
-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 |
(- (* 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 (/ f n))) (/ f n)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2)))) |
1 |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) 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 |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
-1 |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 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))))) |
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))) |
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))) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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))) |
(-.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 (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 (*.f64 n (-.f64 (neg.f64 n) n)) (*.f64 f (*.f64 f f))) #s(literal -1 binary64)) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) 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) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.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 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(* 2 (/ (pow f 2) (pow n 2))) |
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n)) |
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f n) f)) n) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(* 2 (/ (pow f 2) (pow n 2))) |
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n)) |
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f n) f)) n) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(* 2 (/ (pow f 2) (pow n 2))) |
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n)) |
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2)) |
(/.f64 (*.f64 (+.f64 f f) (+.f64 f n)) (*.f64 n n)) |
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2)) |
(/.f64 (fma.f64 (+.f64 f f) (+.f64 f n) (*.f64 n n)) (*.f64 n n)) |
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2)) |
(/.f64 (fma.f64 (+.f64 f f) (+.f64 f n) (*.f64 n n)) (*.f64 n n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
(/ f n) |
(/.f64 f n) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(/ (+ (* 2 f) (* 2 n)) n) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 f n)) n) |
(/ (+ (* 2 f) (* 2 n)) n) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 f n)) n) |
(/ (+ (* 2 f) (* 2 n)) n) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 f n)) n) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
(+ 2 (* 2 (/ f n))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) |
-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) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.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 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) 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))) |
(-.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 (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 (*.f64 n (-.f64 (neg.f64 n) n)) (*.f64 f (*.f64 f f))) #s(literal -1 binary64)) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) 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 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) 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 (/.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 2 binary64) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2)))) |
(fma.f64 f (fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n (*.f64 n 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 (/ f n))) (/ f n)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 f (*.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))) n) (+.f64 f f)) 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 (/.f64 (+.f64 f f) n) #s(literal -2 binary64)) #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 (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -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)) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
(fma.f64 n (/.f64 (*.f64 n (+.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f)) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) 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 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) (neg.f64 n))) f))) 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 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) |
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) |
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) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
| 4 760× | lower-/.f32 |
| 4 752× | lower-/.f64 |
| 3 768× | lower-*.f64 |
| 3 768× | lower-*.f32 |
| 3 414× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 64 |
| 0 | 26 | 62 |
| 1 | 136 | 62 |
| 2 | 1122 | 62 |
| 0 | 8332 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 f n) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(-.f64 n f) |
(+.f64 n f) |
(/.f64 #s(literal 2 binary64) n) |
| Outputs |
|---|
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) n)) |
(+.f64 (/.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) n) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 f #s(literal 2 binary64)) f) (*.f64 n n)) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (*.f64 n n)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f #s(literal 2 binary64)) f) (*.f64 n n))) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (*.f64 n n)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) n))) (/.f64 (/.f64 (*.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) n)))) |
(fma.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 f n)) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)) (fma.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 f f) (+.f64 f n)))))) |
(pow.f64 (-.f64 n f) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 n f)) |
(*.f64 (-.f64 n f) #s(literal 1 binary64)) |
(*.f64 (+.f64 f n) (/.f64 (-.f64 n f) (+.f64 f n))) |
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 n) f)) |
(*.f64 (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) |
(*.f64 (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n (neg.f64 f)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (+.f64 f n))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 f (-.f64 f n) (*.f64 n n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (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)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 f n)) |
(*.f64 (/.f64 (+.f64 f n) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 (+.f64 f n) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (/.f64 (-.f64 n f) (fma.f64 f (+.f64 f n) (*.f64 n n)))) |
(+.f64 f n) |
(+.f64 n f) |
(+.f64 (*.f64 n (/.f64 n (-.f64 n f))) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(+.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n))) #s(literal -1 binary64))) |
(-.f64 n (neg.f64 f)) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 f) n)) |
(-.f64 (*.f64 n (/.f64 n (-.f64 n f))) (/.f64 (*.f64 f f) (-.f64 n f))) |
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n))) |
(-.f64 (/.f64 (*.f64 n (/.f64 n (-.f64 n f))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 f f) (-.f64 n f)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 f #s(literal 1 binary64) n) |
(fma.f64 n #s(literal 1 binary64) f) |
(fma.f64 n (/.f64 n (-.f64 n f)) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 #s(literal 1 binary64) f n) |
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n) |
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f) |
(fma.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n)))) |
(fma.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 n (+.f64 f n)) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 f (-.f64 f n) (*.f64 n n))) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 n (-.f64 n f) (*.f64 f f))) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 n (-.f64 f n)) (neg.f64 (/.f64 (*.f64 f f) (-.f64 n f)))) |
(neg.f64 (-.f64 (neg.f64 f) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(/.f64 (+.f64 f n) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(/.f64 (-.f64 (neg.f64 f) n) #s(literal -1 binary64)) |
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f (-.f64 f n) (*.f64 n n))) |
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n (-.f64 n f) (*.f64 f f))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f)) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) |
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(/.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 (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 (neg.f64 n) f)) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f n))) |
(/.f64 (-.f64 (*.f64 (*.f64 n n) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 f f))) (*.f64 (-.f64 n f) (-.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 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n 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))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f)))) (-.f64 n f)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 n (/.f64 n (-.f64 n f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 f f) (-.f64 n f)) #s(literal 3 binary64))) (fma.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 n (/.f64 n (-.f64 n f))) (fma.f64 (/.f64 (*.f64 f f) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (*.f64 n (/.f64 n (-.f64 n f))) (/.f64 (*.f64 f f) (-.f64 n 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 n (*.f64 n n)) (*.f64 (neg.f64 f) (*.f64 f f))) (fma.f64 n n (fma.f64 f f (*.f64 n (neg.f64 f))))) |
(pow.f64 (+.f64 f n) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 f n)) |
(*.f64 (+.f64 f n) #s(literal 1 binary64)) |
(*.f64 (+.f64 f n) (/.f64 (-.f64 n f) (-.f64 n f))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 f) n)) |
(*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (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 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.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 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))))) |
(*.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.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 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.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 (-.f64 n f) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.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 (-.f64 n f) (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 (-.f64 n f) (-.f64 f n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) n)) |
(neg.f64 (/.f64 #s(literal -2 binary64) n)) |
(/.f64 #s(literal 2 binary64) n) |
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 n)) |
(pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) n)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) |
Compiled 19 325 to 2 007 computations (89.6% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 0 | 829 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 829 | 11 | 840 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 50.5% | (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
| ✓ | 50.2% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 51.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 100.0% | (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
| ✓ | 49.4% | #s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.1% | #s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
| ✓ | 48.9% | #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) |
| ✓ | 50.1% | #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
| ✓ | 49.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 247 to 103 computations (58.3% 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.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))) |
#s(approx (/ (+ f n) (- n f)) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))) |
#s(approx (/ (+ f n) (- n f)) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
3 calls:
| 88.0ms | f |
| 6.0ms | n |
| 5.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
3 calls:
| 6.0ms | f |
| 5.0ms | n |
| 3.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | f |
| 99.9% | 1 | n |
| 99.9% | 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)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
#s(approx (/ (+ f n) (- n f)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
3 calls:
| 4.0ms | n |
| 3.0ms | f |
| 3.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | f |
| 76.5% | 3 | n |
| 98.4% | 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))) |
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
| Outputs |
|---|
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 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)) |
(/.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 |
|---|---|---|
| 97.3% | 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 |
|---|---|---|
| 97.3% | 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 |
|---|---|---|
| 97.2% | 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:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 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 |
|---|---|---|
| 49.8% | 1 | n |
| 49.8% | 1 | f |
| 49.8% | 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 | 0.34264134427565873 | 0.9999772280072354 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.34264134427565873 | 0.9999772280072354 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9591595519059458 | 0.34264134427565873 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9591595519059458 | 0.34264134427565873 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9591595519059458 | 0.34264134427565873 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -0.9591595519059458 | 0.34264134427565873 |
| 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 |
| 158× | unsub-neg_binary64 |
| 144× | distribute-lft-neg-in_binary64 |
| 108× | neg-mul-1_binary64 |
| 78× | neg-sub0_binary64 |
| 72× | cancel-sign-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 235 |
| 1 | 66 | 235 |
| 2 | 85 | 235 |
| 3 | 98 | 229 |
| 4 | 114 | 229 |
| 5 | 146 | 229 |
| 6 | 185 | 229 |
| 7 | 242 | 229 |
| 8 | 322 | 229 |
| 9 | 384 | 229 |
| 10 | 442 | 229 |
| 11 | 492 | 229 |
| 12 | 537 | 229 |
| 13 | 566 | 229 |
| 14 | 585 | 229 |
| 15 | 590 | 229 |
| 16 | 591 | 229 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(/.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))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f 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))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.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))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))) |
(if (<=.f64 (/.f64 (+.f64 n f) (-.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))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f 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))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))) |
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)) (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f 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 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 n f) #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 n f) (-.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 n f) (-.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 n f) (-.f64 n f)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)) |
| 15 882× | lower-fma.f64 |
| 15 882× | lower-fma.f32 |
| 14 778× | lower-fma.f64 |
| 14 778× | lower-fma.f32 |
| 5 618× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 430 | 3158 |
| 1 | 1356 | 2774 |
| 2 | 4024 | 2555 |
| 0 | 8607 | 2315 |
| 0 | 24 | 102 |
| 0 | 37 | 99 |
| 1 | 153 | 94 |
| 2 | 1407 | 94 |
| 0 | 8963 | 92 |
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5180 | 459 |
| 0 | 8647 | 432 |
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 46 | 18 |
| 2 | 327 | 17 |
| 0 | 5530 | 17 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 337 to 138 computations (59.1% saved)
Compiled 326 to 80 computations (75.5% saved)
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