
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 362.0ms | 8 256× | 0 | valid |
ival-div: 56.0ms (28.5% of total)ival-add: 48.0ms (24.4% of total)ival-sub: 45.0ms (22.9% of total)ival-neg: 38.0ms (19.3% of total)ival-true: 6.0ms (3.1% 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 |
| 30.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-div: 10.0ms (54.8% of total)ival-sub: 3.0ms (16.4% of total)ival-add: 3.0ms (16.4% of total)ival-neg: 2.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 n f) (-.f64 n f)) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% 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)) |
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 n f) (-.f64 n f)) |
(neg.f64 (+.f64 f n)) |
(neg.f64 (+.f64 n f)) |
(+.f64 f n) |
(+.f64 n f) |
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 | 0.03191376953688403 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 14.0ms | 256× | 0 | valid |
Compiled 42 to 14 computations (66.7% saved)
ival-div: 2.0ms (33.8% of total)ival-add: 2.0ms (33.8% of total)ival-sub: 1.0ms (16.9% of total)ival-neg: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
(-.f64 f n) |
| Outputs |
|---|
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) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 n) |
(- f n) |
(- f n) |
(- f 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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
-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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* 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) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | n | @ | inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | f | @ | -inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | f | @ | 0 | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | n | @ | 0 | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1333 | 469 |
| 3 | 5177 | 459 |
| 0 | 8642 | 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 n) |
(- f n) |
(- f n) |
(- f 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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
-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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* 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) |
(* -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))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(* -1 n) |
(neg.f64 n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
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) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
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) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* -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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -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) |
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 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f)) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f)))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))) |
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f))) |
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 n f)) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))) |
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) |
(*.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 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (+.f64 n f)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (+.f64 n f)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f)) |
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f (-.f64 f n)) (*.f64 n n))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 n f) n) (-.f64 (*.f64 (+.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) (+.f64 n f)) |
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 f n)) |
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 f n)) |
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 n f) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))) |
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (-.f64 f n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))) |
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(/.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (-.f64 f n)) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f))) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 f n))) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (*.f64 f (-.f64 f n)) (*.f64 n n)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 n f) n) (-.f64 (*.f64 (+.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (-.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) (fma.f64 (neg.f64 n) n (*.f64 f f))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (*.f64 (-.f64 f n) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 n f))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (-.f64 f n))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))) (-.f64 n f))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (-.f64 f n) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 f n) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))) (-.f64 f n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f))) |
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(fma.f64 (/.f64 f (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 f (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 f (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 f (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 (*.f64 f f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 n f) n (*.f64 f f)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 f (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 f (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 f (+.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 (*.f64 f f) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 f n) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 (neg.f64 f) (+.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n))) |
(fma.f64 (pow.f64 f #s(literal 3/2 binary64)) (/.f64 (pow.f64 f #s(literal 3/2 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 f) (*.f64 #s(literal 1 binary64) (neg.f64 n))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 f) (neg.f64 n)) |
(fma.f64 #s(literal -1 binary64) n f) |
(fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 f #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 n) f) |
(fma.f64 #s(literal 1 binary64) f (*.f64 #s(literal 1 binary64) (neg.f64 n))) |
(fma.f64 #s(literal 1 binary64) f (neg.f64 n)) |
(fma.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 f f) (/.f64 f (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(fma.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 f f) (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(fma.f64 n #s(literal -1 binary64) f) |
(fma.f64 f (/.f64 (*.f64 f f) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(fma.f64 f (/.f64 f (+.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(fma.f64 f #s(literal 1 binary64) (*.f64 (neg.f64 n) #s(literal 1 binary64))) |
(-.f64 (+.f64 f #s(literal 0 binary64)) n) |
(-.f64 (/.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 1 binary64)) (/.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) |
(-.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 n #s(literal 1 binary64))) |
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))) |
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))) |
(-.f64 #s(literal 0 binary64) (-.f64 n f)) |
(-.f64 f n) |
(+.f64 (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (*.f64 f #s(literal 1 binary64))) |
(+.f64 (*.f64 f #s(literal 1 binary64)) (*.f64 (neg.f64 n) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f) |
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(+.f64 (neg.f64 n) f) |
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n))) |
(+.f64 f (neg.f64 n)) |
Compiled 14 457 to 1 678 computations (88.4% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 11 | 659 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 649 | 11 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) | |
| 28.3% | (/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f)))) (-.f64 f n)) | |
| 54.3% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| ▶ | 46.7% | (/.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 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
| 100.0% | (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) | |
| 45.6% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))) | |
| ▶ | 54.4% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| 53.1% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) | |
| ▶ | 45.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 320 to 200 computations (37.5% saved)
| 1× | egg-herbie |
Found 16 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 | (/.f64 #s(literal 2 binary64) n) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (neg.f64 f) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 f (-.f64 f n)) | |
| cost-diff | 0 | (*.f64 f (/.f64 f (-.f64 f n))) | |
| cost-diff | 0 | (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) | |
| cost-diff | 3328 | (-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 166 |
| 0 | 45 | 180 |
| 1 | 82 | 180 |
| 2 | 147 | 178 |
| 3 | 292 | 178 |
| 4 | 768 | 178 |
| 5 | 2514 | 166 |
| 6 | 3620 | 166 |
| 7 | 4533 | 146 |
| 8 | 5113 | 146 |
| 9 | 5261 | 146 |
| 10 | 5305 | 146 |
| 11 | 5440 | 146 |
| 12 | 5525 | 146 |
| 13 | 6317 | 146 |
| 14 | 6856 | 146 |
| 15 | 7053 | 146 |
| 16 | 7479 | 146 |
| 17 | 7779 | 146 |
| 0 | 8024 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) |
(*.f64 f (/.f64 f (-.f64 f n))) |
f |
(/.f64 f (-.f64 f n)) |
(-.f64 f n) |
n |
(-.f64 n f) |
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)) |
(*.f64 n (/.f64 n (-.f64 f n))) |
(/.f64 n (-.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)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
f |
#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 |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) |
(*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(*.f64 f (/.f64 f (-.f64 f n))) |
(*.f64 (/.f64 f (-.f64 f n)) f) |
f |
(/.f64 f (-.f64 f n)) |
(-.f64 f n) |
n |
(-.f64 n f) |
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)) |
(*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 f n))) |
(*.f64 n (/.f64 n (-.f64 f n))) |
(*.f64 (/.f64 n (-.f64 f n)) n) |
(/.f64 n (-.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)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
f |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.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) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 n f) | |
| accuracy | 0.025722509768442016 | (/.f64 (-.f64 n f) (+.f64 n f)) | |
| accuracy | 0.03125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) n) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) | |
| accuracy | 29.18880290496229 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.03191376953688403 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| accuracy | 34.20146418097552 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| accuracy | 34.90807494610556 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (*.f64 n (/.f64 n (-.f64 f n))) | |
| accuracy | 0.1015625 | (*.f64 f (/.f64 f (-.f64 f n))) | |
| accuracy | 0.9580099631602464 | (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) | |
| accuracy | 1.486816772800537 | (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)) |
| 42.0ms | 256× | 0 | valid |
Compiled 320 to 54 computations (83.1% saved)
ival-div: 12.0ms (45.3% of total)ival-mult: 5.0ms (18.9% of total)ival-sub: 4.0ms (15.1% of total)ival-add: 3.0ms (11.3% of total)ival-neg: 2.0ms (7.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) |
(*.f64 f (/.f64 f (-.f64 f n))) |
(/.f64 f (-.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) |
(-.f64 f n) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
(/.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 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)) |
(*.f64 n (/.f64 n (-.f64 f n))) |
| Outputs |
|---|
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 (/ (pow f 2) (pow n 2))) |
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2)))) |
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(* -1 (/ (pow f 2) n)) |
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* -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 (* 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 (* 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) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 n) |
(- f n) |
(- 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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 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 |
(+ 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))))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1) |
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1) |
(* -1 n) |
(+ (* -1 f) (* -1 n)) |
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(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2))))))))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2))))))) |
f |
(* f (+ 1 (/ n f))) |
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))) |
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))) |
1 |
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(- (+ 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))))) |
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(- (+ (* -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) |
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(- (+ (* -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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
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(- (* -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) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
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(- (+ (* -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)))) |
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(- (/ 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 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* -1 (/ (pow n 2) (pow f 2))) |
(/ (+ (* -2 (/ (pow n 3) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow n 4)) (* 4 (pow n 4))) (pow f 2))) (* -1 (pow n 2))) (* 2 (/ (pow n 3) f))) (pow f 2)) |
(/ (- (+ (* -1 (/ (+ (* -2 (pow n 5)) (* 2 (* n (+ (* -1 (pow n 4)) (* 4 (pow n 4)))))) (pow f 3))) (* -1 (pow n 2))) (+ (* -1 (/ (pow n 4) (pow f 2))) (+ (* 2 (/ (pow n 3) f)) (* 4 (/ (pow n 4) (pow f 2)))))) (pow f 2)) |
(/ (pow n 2) f) |
(/ (+ (/ (pow n 3) f) (pow n 2)) f) |
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (* -1 (/ (pow n 3) f))) f) |
(/ (- (+ (/ (pow n 5) (pow f 3)) (pow n 2)) (+ (* -1 (/ (pow n 3) f)) (* -1 (/ (pow n 4) (pow f 2))))) f) |
-1 |
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(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (pow n 2)) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (+ (* -1 (/ (- (+ (* -2 (* n (+ (* -4 (pow n 2)) (pow n 2)))) (* -2 (pow n 3))) (* 2 (pow n 3))) f)) (pow n 2))) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (* 4 (/ (pow n 2) f))) (* -2 n)) f)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* 2 (/ (pow n 3) f))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1) |
f |
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(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1))) |
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1 |
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(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) |
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(- (* -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 |
(- (* -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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ 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) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 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 |
(- (* -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) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
f |
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(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (/ (pow n 2) (pow f 2))) |
(/ (+ (* -2 (/ (pow n 3) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (pow n 4)) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (+ (* -1 (/ (+ (* -2 (* n (+ (* -4 (pow n 4)) (pow n 4)))) (* -2 (pow n 5))) f)) (pow n 4))) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (pow n 2) f) |
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
-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 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -3 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
f |
(+ f n) |
(+ f (* n (+ 1 (/ n f)))) |
(+ f (* n (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2))))))) |
1 |
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(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2))))) |
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))) |
-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 |
(- (* -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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 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) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 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 |
(- (* 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 f) |
(- n f) |
(- n f) |
(- n f) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 (/ (pow n 2) (pow f 2))) |
(* (pow n 2) (- (* -2 (/ n (pow f 3))) (/ 1 (pow f 2)))) |
(* (pow n 2) (- (* n (- (* -3 (/ n (pow f 4))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2)))) |
(* (pow n 2) (- (* n (- (* n (- (* -4 (/ n (pow f 5))) (* 3 (/ 1 (pow f 4))))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2)))) |
(/ (pow n 2) f) |
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2)))) |
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))) |
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2)))))) |
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ f n)) (+ (* 2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 3))) (* 4 (/ (pow f 2) (pow n 2)))))))) (* 2 (/ (pow f 3) (pow n 3)))) |
(* -1 (/ (pow f 2) (pow n 2))) |
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow f 4)) (* 4 (pow f 4))) (pow n 2))) (* -1 (pow f 2))) (* 2 (/ (pow f 3) n))) (pow n 2)) |
(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2)) |
(* -1 (/ (pow f 2) n)) |
(/ (+ (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n) |
(/ (- (+ (* -1 (/ (pow f 4) (pow n 2))) (* -1 (pow f 2))) (/ (pow f 3) n)) n) |
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) n) |
(* -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 |
(+ 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 (/ (* 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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
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 (* -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)))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n)))) |
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2))))))) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n)))) |
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2)))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n))) |
(* -1 (/ (pow f 2) (pow n 2))) |
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(* -1 (/ (pow f 2) n)) |
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 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 (* -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 (* -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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ 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 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
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 (* -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))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))))) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | n | @ | inf | ((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n)))) |
| 4.0ms | n | @ | -inf | ((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n)))) |
| 4.0ms | f | @ | -inf | ((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n)))) |
| 3.0ms | f | @ | inf | ((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n)))) |
| 3.0ms | n | @ | 0 | ((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 804 | 4673 |
| 1 | 2586 | 4275 |
| 0 | 8443 | 3930 |
| 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 (/ (pow f 2) (pow n 2))) |
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2)))) |
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(* -1 (/ (pow f 2) n)) |
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* -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 (* 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 (* 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) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
1 |
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1 |
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1 |
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1 |
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(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1) |
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1) |
(* -1 n) |
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(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) |
-1 |
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(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2))))))))) |
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(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2))))))) |
f |
(* f (+ 1 (/ n f))) |
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))) |
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))) |
1 |
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(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) |
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-1 |
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(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
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-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
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(- (+ (* -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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
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(- (* -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) |
(* 2 (/ f n)) |
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(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
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(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
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f |
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(/ (- (+ (* -1 (/ (+ (* -2 (pow n 5)) (* 2 (* n (+ (* -1 (pow n 4)) (* 4 (pow n 4)))))) (pow f 3))) (* -1 (pow n 2))) (+ (* -1 (/ (pow n 4) (pow f 2))) (+ (* 2 (/ (pow n 3) f)) (* 4 (/ (pow n 4) (pow f 2)))))) (pow f 2)) |
(/ (pow n 2) f) |
(/ (+ (/ (pow n 3) f) (pow n 2)) f) |
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (* -1 (/ (pow n 3) f))) f) |
(/ (- (+ (/ (pow n 5) (pow f 3)) (pow n 2)) (+ (* -1 (/ (pow n 3) f)) (* -1 (/ (pow n 4) (pow f 2))))) f) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (pow n 2)) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (+ (* -1 (/ (- (+ (* -2 (* n (+ (* -4 (pow n 2)) (pow n 2)))) (* -2 (pow n 3))) (* 2 (pow n 3))) f)) (pow n 2))) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (* 4 (/ (pow n 2) f))) (* -2 n)) f)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* 2 (/ (pow n 3) f))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1))) |
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1))) |
1 |
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(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) |
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-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
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(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 f) |
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(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 f) |
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f |
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(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ 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) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
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(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
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(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
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(* -1 f) |
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(* -1 (* f (+ 1 (* -1 (/ n f))))) |
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f |
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(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (/ (pow n 2) (pow f 2))) |
(/ (+ (* -2 (/ (pow n 3) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (pow n 4)) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (+ (* -1 (/ (+ (* -2 (* n (+ (* -4 (pow n 4)) (pow n 4)))) (* -2 (pow n 5))) f)) (pow n 4))) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2)) |
(/ (pow n 2) f) |
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) |
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(- (* -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 |
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(- (* n (- (* -3 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
f |
(+ f n) |
(+ f (* n (+ 1 (/ n f)))) |
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1 |
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-1 |
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(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f (* -1 n)) |
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(+ f (* -1 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) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 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 |
(- (* 2 (/ n f)) 1) |
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(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
f |
(+ f n) |
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(* -1 (/ (pow n 2) (pow f 2))) |
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(/ (pow n 2) f) |
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2)))) |
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))) |
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
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(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2)) |
(* -1 (/ (pow f 2) n)) |
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(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) n) |
(* -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 |
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(+ 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 |
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(+ 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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
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 (* -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)))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n)))) |
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2))))))) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n)))) |
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2)))))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n))) |
(* -1 (/ (pow f 2) (pow n 2))) |
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(* -1 (/ (pow f 2) n)) |
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 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 (* -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 (* -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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ 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 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
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 (* -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))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
-1 |
(- (* -2 (/ f n)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))))) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 (/ (pow f 2) (pow n 2))) |
(/.f64 (*.f64 (neg.f64 f) f) (*.f64 n n)) |
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 f f)) |
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) #s(literal -3 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 f f)) |
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 f f)) |
(* -1 (/ (pow f 2) n)) |
(/.f64 (*.f64 (neg.f64 f) f) n) |
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 f n) (/.f64 #s(literal -1 binary64) n)) f) f) |
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) (*.f64 f f)) |
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) (*.f64 f f)) |
(* -1 (/ f n)) |
(/.f64 (neg.f64 f) n) |
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 f n) (/.f64 #s(literal -1 binary64) n)) f) |
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f) |
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 n) |
(neg.f64 n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ f n)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64)) |
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1) |
(fma.f64 (fma.f64 (/.f64 #s(literal -3 binary64) n) (/.f64 f n) (/.f64 #s(literal -2 binary64) n)) f #s(literal -1 binary64)) |
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 n n))) f (/.f64 #s(literal -2 binary64) n)) f #s(literal -1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(+ (* -1 f) (* -1 n)) |
(-.f64 (neg.f64 f) n) |
(+ (* -1 n) (* f (- (* -1 (/ f n)) 1))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 f n) #s(literal -1 binary64)) f (neg.f64 n)) |
(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 f n) (/.f64 #s(literal -1 binary64) n)) f #s(literal -1 binary64)) f (neg.f64 n)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2))))))))) |
(-.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) n (/.f64 (/.f64 n f) f)) n) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) f) (*.f64 (/.f64 n f) n))))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f)))) |
(-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 n f) n)) f) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal 1 binary64))) |
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2))))))) |
(-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 f #s(literal 3 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) f) n (/.f64 (/.f64 (*.f64 (neg.f64 n) n) f) f)) (fma.f64 (/.f64 #s(literal 4 binary64) f) (*.f64 (/.f64 n f) n) #s(literal 1 binary64)))) |
f |
(* f (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) f f) |
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal 1 binary64)) f) |
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal 1 binary64))) f) |
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))) |
(+.f64 (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) |
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 n f) n n) f) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #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 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) n (/.f64 (/.f64 n f) f)) n) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #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 #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) n (/.f64 (/.f64 n f) f)) n) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
(* f (- (* -1 (/ n f)) 1)) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
(* f (- (* -1 (/ n f)) 1)) |
(neg.f64 (fma.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) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
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(/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (neg.f64 f) f)) n) n) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 f #s(literal 4 binary64)) #s(literal 3 binary64)) n)) n))) (*.f64 n n)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2)) |
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 (pow.f64 f #s(literal 4 binary64)) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (pow.f64 f #s(literal 5 binary64)) (pow.f64 f #s(literal 5 binary64)))) n)) (neg.f64 n))) n))) (*.f64 n n)) |
(* -1 (/ (pow f 2) n)) |
(/.f64 (*.f64 (neg.f64 f) f) n) |
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n)) |
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n)) |
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 4 binary64))) n) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n)))) n) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 2)) n)) |
(/.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 5 binary64)) n) (pow.f64 f #s(literal 4 binary64))) (neg.f64 n)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) (neg.f64 n)) |
(* -1 (/ f n)) |
(/.f64 (neg.f64 f) n) |
(* -1 (/ (+ f (/ (pow f 2) n)) n)) |
(/.f64 (neg.f64 (fma.f64 f (/.f64 f n) f)) n) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) (neg.f64 n)) |
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 4 binary64))) n) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) n) f) (neg.f64 n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal -2 binary64) f)) n)) |
(+ 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 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal -2 binary64) f)) n)) |
(+ 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 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64))) n)) n)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(* -1 (* n (+ 1 (/ f n)))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(* -1 (* n (+ 1 (/ f n)))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n)) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n)) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal -2 binary64) f)) n)) |
(+ 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 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/ 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) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal -2 binary64) f)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64))) n)) n)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal 2 binary64) f)) n)) |
(+ 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 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64))) n)) n)) |
n |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ f n)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1) |
(fma.f64 (/.f64 (fma.f64 (*.f64 f (/.f64 f n)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) f)) n) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (fma.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64)))) (neg.f64 n))) n) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n) n n)) |
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n) n n)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 45 | 149 |
| 1 | 192 | 125 |
| 2 | 1664 | 125 |
| 0 | 8720 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) |
(*.f64 f (/.f64 f (-.f64 f n))) |
(/.f64 f (-.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) |
(-.f64 f n) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
(/.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 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)) |
(*.f64 n (/.f64 n (-.f64 f n))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 f n))) #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (+.f64 n f)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f)) |
(*.f64 (pow.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (pow.f64 (-.f64 n f) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (+.f64 n f) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 n f)) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n)) (pow.f64 (-.f64 n f) #s(literal -2 binary64))) |
(*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (pow.f64 (-.f64 n f) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (*.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (*.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n))))) |
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(*.f64 n (/.f64 (/.f64 n (-.f64 f n)) (-.f64 n f))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (neg.f64 (-.f64 f n))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 1 binary64))) (neg.f64 (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 f n)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 n f)))) |
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n)))) |
(/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 1 binary64)) (-.f64 n f)) |
(/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n))) |
(/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 n f))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))))) |
(/.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (-.f64 n f)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f)) |
(*.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f))) |
(*.f64 (*.f64 n n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 n (-.f64 f n)) n) |
(*.f64 n (/.f64 n (-.f64 f n))) |
(pow.f64 (/.f64 (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (-.f64 f n) n))) |
(/.f64 (neg.f64 (*.f64 n (neg.f64 n))) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 n) n)) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 n n))) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 f n) n))) |
(/.f64 (*.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 f n) n)) |
(/.f64 (*.f64 n (neg.f64 n)) (neg.f64 (-.f64 f n))) |
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (-.f64 f n) n)) |
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 (-.f64 f n))) |
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 (-.f64 f n))) |
(/.f64 (*.f64 n n) (-.f64 f n)) |
(/.f64 (neg.f64 n) (neg.f64 (/.f64 (-.f64 f n) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 n n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 n n)))) |
(/.f64 n (/.f64 (-.f64 f n) n)) |
Compiled 48 147 to 3 951 computations (91.8% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 616 | 4 | 1 620 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 621 | 10 | 1 631 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ▶ | 87.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
| ▶ | 90.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
| ▶ | 54.3% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 46.7% | (/.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))) |
| 90.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) | |
| ✓ | 54.4% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| ▶ | 53.1% | #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
| ✓ | 45.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 213 to 148 computations (30.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 n f) f f)) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) | |
| cost-diff | 896 | (fma.f64 (/.f64 n f) f f) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 f n) n n)) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) | |
| cost-diff | 896 | (fma.f64 (/.f64 f n) n n) | |
| 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 (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (+.f64 n f) | |
| cost-diff | 0 | (/.f64 (+.f64 n f) (-.f64 n f)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 166 |
| 0 | 46 | 160 |
| 1 | 85 | 160 |
| 2 | 178 | 141 |
| 3 | 370 | 141 |
| 4 | 1061 | 141 |
| 5 | 4613 | 141 |
| 0 | 8221 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
n |
f |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 2 n) f) 1) #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 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(fma.f64 (/.f64 f n) n n) |
(/.f64 f n) |
f |
n |
(-.f64 f n) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
(fma.f64 (/.f64 n f) f f) |
(/.f64 n f) |
n |
f |
(-.f64 f n) |
| Outputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 n f) |
(+.f64 f n) |
n |
f |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 2 n) f) 1) #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 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) |
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(-.f64 (neg.f64 n) f) |
(fma.f64 (/.f64 f n) n n) |
(+.f64 f n) |
(/.f64 f n) |
f |
n |
(-.f64 f n) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) |
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
(-.f64 (neg.f64 n) f) |
(fma.f64 (/.f64 n f) f f) |
(+.f64 f n) |
(/.f64 n f) |
n |
f |
(-.f64 f n) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (fma.f64 (/.f64 n f) f f)) | |
| accuracy | 0 | #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) | |
| accuracy | 0.024101269536884032 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) | |
| accuracy | 7.4984987029800605 | (fma.f64 (/.f64 n f) f f) | |
| accuracy | 0 | (neg.f64 (fma.f64 (/.f64 f n) n n)) | |
| accuracy | 0 | #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) | |
| accuracy | 0.024101269536884032 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) | |
| accuracy | 6.162388768331215 | (fma.f64 (/.f64 f n) n n) | |
| accuracy | 0 | (-.f64 f n) | |
| accuracy | 0 | (neg.f64 n) | |
| accuracy | 0.024101269536884032 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| accuracy | 28.95992786882656 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| accuracy | 28.745778727631194 | #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) | |
| accuracy | 29.08654796030779 | #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 n f) | |
| accuracy | 0 | (+.f64 n f) | |
| accuracy | 0.024101269536884032 | (/.f64 (+.f64 n f) (-.f64 n f)) |
| 45.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 288 to 56 computations (80.6% saved)
ival-div: 8.0ms (29.5% of total)ival-add: 6.0ms (22.1% of total)ival-mult: 5.0ms (18.4% of total)ival-neg: 4.0ms (14.8% of total)ival-sub: 2.0ms (7.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 2 n) f) 1) #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) |
(fma.f64 (/.f64 f n) n n) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(fma.f64 (/.f64 n f) f f) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
| Outputs |
|---|
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))))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
n |
(+ f n) |
(+ 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
n |
(+ f n) |
(+ 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) 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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
-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) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
-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) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
-1 |
(- (* -1 (/ 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) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
-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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
-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) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
-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) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
f |
(+ f n) |
(+ f n) |
(+ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f n) |
(+ f n) |
(+ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
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))))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
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 |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
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))) |
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 (* 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 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
1 |
(+ 1 (* -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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ f n) n) n)) (+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ n f) f) f))) |
| 1.0ms | f | @ | -inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ f n) n) n)) (+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ n f) f) f))) |
| 1.0ms | n | @ | inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ f n) n) n)) (+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ n f) f) f))) |
| 1.0ms | n | @ | -inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ f n) n) n)) (+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ n f) f) f))) |
| 1.0ms | f | @ | 0 | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (+ (* (/ f n) n) n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ f n) n) n)) (+ (* (/ n f) f) f) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg (+ (* (/ n f) f) f))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 2609 |
| 1 | 660 | 2409 |
| 2 | 2066 | 2174 |
| 3 | 5886 | 2174 |
| 0 | 8147 | 1996 |
| 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))))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
n |
(+ f n) |
(+ 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
n |
(+ f n) |
(+ 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 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) 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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
-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) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
-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) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
-1 |
(- (* -1 (/ 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) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
-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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -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 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
-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) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
-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) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
f |
(+ f n) |
(+ f n) |
(+ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
f |
(+ f n) |
(+ f n) |
(+ 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 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
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))))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
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 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
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 |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
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))) |
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 (* 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 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
1 |
(+ 1 (* -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 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -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 n) |
(neg.f64 n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -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 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) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -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 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 |
#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 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* -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 |
#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 (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))) |
(* 2 (/ f n)) |
(*.f64 (/.f64 #s(literal 2 binary64) n) f) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))) |
(* -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) |
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 |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
-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 (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))) |
(* -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) |
(* 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) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
-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 (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))) |
(* -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) |
(* 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 |
#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 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
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) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n 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 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
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(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 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) |
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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 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 |
(* -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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 n) |
(neg.f64 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 n) f) |
(* -1 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 145 |
| 0 | 46 | 145 |
| 1 | 190 | 145 |
| 2 | 1413 | 137 |
| 0 | 8420 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 2 n) f) 1) #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) |
(fma.f64 (/.f64 f n) n n) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) |
(neg.f64 (fma.f64 (/.f64 f n) n n)) |
(fma.f64 (/.f64 n f) f f) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) |
(neg.f64 (fma.f64 (/.f64 n f) f f)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.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 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.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 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (neg.f64 (+.f64 f n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
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(/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))) |
(/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))) |
(/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (-.f64 (*.f64 f f) (*.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)))) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))) (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f))) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64)))))) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) |
(neg.f64 (fma.f64 n #s(literal 1 binary64) f)) |
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 f f) (neg.f64 f)) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 n f) (neg.f64 f)) |
(fma.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 f #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (*.f64 f n)) (pow.f64 f #s(literal -1 binary64)) (neg.f64 f)) |
(fma.f64 (neg.f64 (/.f64 n f)) f (neg.f64 f)) |
(fma.f64 #s(literal -1 binary64) (*.f64 n #s(literal 1 binary64)) (neg.f64 f)) |
(fma.f64 #s(literal -1 binary64) f (neg.f64 (*.f64 n #s(literal 1 binary64)))) |
(fma.f64 (*.f64 f n) (pow.f64 (neg.f64 f) #s(literal -1 binary64)) (neg.f64 f)) |
(fma.f64 (neg.f64 f) (/.f64 n f) (neg.f64 f)) |
(fma.f64 (/.f64 n f) (neg.f64 f) (neg.f64 f)) |
(fma.f64 f (neg.f64 (/.f64 n f)) (neg.f64 f)) |
(fma.f64 f #s(literal -1 binary64) (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))) (/.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))) |
(-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))) (/.f64 (*.f64 f f) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))) (/.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))) (/.f64 (*.f64 f f) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f))))) |
(-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) f) |
(-.f64 (neg.f64 f) (*.f64 n #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)) |
(+.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 f #s(literal -1 binary64))) |
(+.f64 (*.f64 f #s(literal -1 binary64)) (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)) |
(+.f64 (neg.f64 f) (neg.f64 (*.f64 n #s(literal 1 binary64)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 n #s(literal 1 binary64) f))) |
Compiled 29 166 to 2 721 computations (90.7% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 267 | 1 | 1 268 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 267 | 11 | 1 278 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ▶ | 46.3% | (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
| ✓ | 87.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
| ✓ | 90.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
| ✓ | 54.3% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 46.7% | (/.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))) |
| ▶ | 90.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
| ✓ | 54.4% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
| ✓ | 45.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 139 to 98 computations (29.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 f) | |
| cost-diff | 0 | #s(approx (- n f) (neg.f64 f)) | |
| cost-diff | 0 | (+.f64 n f) | |
| cost-diff | 0 | (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) | |
| cost-diff | 896 | (fma.f64 (/.f64 f n) n n) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 78 |
| 0 | 24 | 81 |
| 1 | 42 | 81 |
| 2 | 58 | 74 |
| 3 | 85 | 64 |
| 4 | 166 | 64 |
| 5 | 391 | 64 |
| 6 | 1114 | 64 |
| 7 | 3005 | 64 |
| 8 | 5066 | 64 |
| 9 | 6352 | 64 |
| 10 | 6709 | 64 |
| 11 | 6839 | 64 |
| 12 | 7015 | 64 |
| 13 | 7032 | 64 |
| 14 | 7594 | 64 |
| 15 | 7701 | 64 |
| 16 | 7701 | 64 |
| 0 | 8108 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) |
(-.f64 n f) |
n |
f |
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) |
(fma.f64 (/.f64 f n) n n) |
(/.f64 f n) |
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
(+.f64 n f) |
n |
f |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
(/.f64 #s(approx (+ n f) (+.f64 f n)) (-.f64 n f)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) |
(/.f64 (-.f64 n f) #s(approx (+ n f) (+.f64 f n))) |
(-.f64 n f) |
n |
f |
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) |
#s(approx (+ n f) (+.f64 f n)) |
(fma.f64 (/.f64 f n) n n) |
(+.f64 f n) |
(/.f64 f n) |
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) |
(+.f64 n f) |
(+.f64 f n) |
n |
f |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 n f) | |
| accuracy | 0 | (neg.f64 f) | |
| accuracy | 0.024101269536884032 | (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) | |
| accuracy | 33.80739195331081 | #s(approx (- n f) (neg.f64 f)) | |
| accuracy | 0 | #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) | |
| accuracy | 0.025722509768442016 | (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) | |
| accuracy | 6.162388768331215 | (fma.f64 (/.f64 f n) n n) |
| 27.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 132 to 29 computations (78% saved)
ival-div: 7.0ms (37.2% of total)ival-neg: 5.0ms (26.6% of total)ival-mult: 2.0ms (10.6% of total)ival-sub: 2.0ms (10.6% of total)ival-add: 2.0ms (10.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 f n) n n) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) |
(-.f64 n f) |
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
(+.f64 n f) |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) |
| Outputs |
|---|
n |
(+ f n) |
(+ 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 (* -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))))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -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))))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 |
(- (/ 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 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
-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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
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))) |
-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 |
(- (* -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) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ 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) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ 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) |
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) |
-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 |
(- (* 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 f) |
(- n f) |
(- n f) |
(- n f) |
-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) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 (* -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)))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
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))))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
1 |
(- (+ 1 (/ 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 (* -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))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
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 |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | f | @ | inf | ((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f)) |
| 0.0ms | f | @ | -inf | ((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f)) |
| 0.0ms | n | @ | -inf | ((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f)) |
| 0.0ms | n | @ | inf | ((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f)) |
| 0.0ms | f | @ | 0 | ((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 1327 |
| 1 | 710 | 1209 |
| 2 | 2134 | 1112 |
| 3 | 6539 | 1112 |
| 0 | 8150 | 1021 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
n |
(+ f n) |
(+ 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 (* -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))))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -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))))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
-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 |
(- (/ 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 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
-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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
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))) |
-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 |
(- (* -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) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ 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) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ 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) |
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) |
-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 |
(- (* 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 f) |
(- n f) |
(- n f) |
(- n f) |
-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) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
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 (* -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)))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
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))))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
1 |
(- (+ 1 (/ 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 (* -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))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
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 |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
| Outputs |
|---|
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.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) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #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)))) |
(fma.f64 (*.f64 n (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))) |
-1 |
#s(literal -1 binary64) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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))))) |
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64)))) |
(* -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 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #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)))) |
(fma.f64 (*.f64 n (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n 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) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64)))) f)) f) #s(literal 1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #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 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
(* -1 f) |
(neg.f64 f) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ n f)) 1) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(* -1 f) |
(neg.f64 f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
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) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.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 |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64)) |
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) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64)) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.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 |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 70 |
| 0 | 24 | 73 |
| 1 | 96 | 71 |
| 2 | 648 | 56 |
| 0 | 8986 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 f n) n n) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))) |
(-.f64 n f) |
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
(+.f64 n f) |
#s(approx (- n f) (neg.f64 f)) |
(neg.f64 f) |
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 2 binary64)))) (-.f64 (*.f64 n n) (*.f64 (-.f64 f n) f))) |
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 3 binary64)) (pow.f64 n #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 f n) f) (-.f64 (*.f64 (-.f64 f n) f) (*.f64 n n)) (pow.f64 n #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f f) (*.f64 (-.f64 n f) n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 n f) n) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 (neg.f64 n) f)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (-.f64 (neg.f64 n) f)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) f (*.f64 n n))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n)))) |
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (-.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) |
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 f) f (*.f64 n n))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))) |
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (*.f64 (+.f64 n f) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (/.f64 (+.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n)))) |
(*.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 n) f)) |
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (-.f64 f n))) |
(*.f64 (+.f64 n f) (*.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (+.f64 n f) (*.f64 (-.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) |
(*.f64 (+.f64 n f) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 n f)) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(pow.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 n f)) |
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f))) |
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 (*.f64 f f) (fma.f64 n n (*.f64 f f)) (pow.f64 n #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) n) (-.f64 (/.f64 f n) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) n) (-.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f))) |
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) f) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f))) |
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 n f) f) #s(literal 3 binary64)) (pow.f64 n #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 n f) f) (-.f64 (*.f64 (+.f64 n f) f) (*.f64 n n)) (pow.f64 n #s(literal 4 binary64)))) |
(/.f64 (*.f64 n (-.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 f n) #s(literal 1 binary64))) |
(/.f64 (*.f64 n (+.f64 (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) |
(/.f64 (-.f64 (*.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 n (/.f64 n (-.f64 n f)))) (*.f64 (*.f64 f (/.f64 f (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f))))) (fma.f64 n (/.f64 n (-.f64 n f)) (*.f64 f (/.f64 f (-.f64 n f))))) |
(/.f64 (-.f64 (*.f64 (*.f64 f (/.f64 f (-.f64 f n))) (*.f64 f (/.f64 f (-.f64 f n)))) (*.f64 (*.f64 n (/.f64 n (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n))))) (fma.f64 f (/.f64 f (-.f64 f n)) (*.f64 n (/.f64 n (-.f64 f n))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 n (/.f64 n (-.f64 n f))) #s(literal 3 binary64)) (pow.f64 (*.f64 f (/.f64 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 f (/.f64 f (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f))) (*.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 f (/.f64 f (-.f64 f n))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (/.f64 n (-.f64 f n))) #s(literal 3 binary64))) (fma.f64 (*.f64 f (/.f64 f (-.f64 f n))) (*.f64 f (/.f64 f (-.f64 f n))) (fma.f64 (*.f64 n (/.f64 n (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n))) (*.f64 (*.f64 f (/.f64 f (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n))))))) |
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(fma.f64 (*.f64 n n) (/.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n))))) |
(fma.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f))))) |
(fma.f64 (neg.f64 n) (/.f64 (neg.f64 f) n) n) |
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f) |
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n) |
(fma.f64 (neg.f64 f) (/.f64 n (neg.f64 n)) n) |
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal -1 binary64) n) n) n) |
(fma.f64 (neg.f64 f) #s(literal -1 binary64) n) |
(fma.f64 #s(literal 1 binary64) n f) |
(fma.f64 #s(literal 1 binary64) f n) |
(fma.f64 (/.f64 f n) (/.f64 (*.f64 n f) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n))))) |
(fma.f64 (/.f64 f n) n n) |
(fma.f64 n (/.f64 (*.f64 (/.f64 f n) f) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n))))) |
(fma.f64 n (/.f64 n (-.f64 n f)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f))))) |
(fma.f64 n #s(literal 1 binary64) f) |
(fma.f64 n (/.f64 f n) n) |
(fma.f64 f (/.f64 f (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n))))) |
(fma.f64 f #s(literal 1 binary64) n) |
(-.f64 (-.f64 n #s(literal 0 binary64)) (neg.f64 f)) |
(-.f64 (*.f64 f (/.f64 f (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n)))) |
(-.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f)) |
(-.f64 n (neg.f64 f)) |
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 n n (*.f64 f f))) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n f))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) f)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) f))) |
(+.f64 (-.f64 n #s(literal 0 binary64)) f) |
(+.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n))))) |
(+.f64 (*.f64 n (/.f64 n (-.f64 n f))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f))))) |
(+.f64 n f) |
(+.f64 f n) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f)))) |
(*.f64 #s(approx (- n f) (neg.f64 f)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f))) |
#s(approx (- n f) (neg.f64 f)) |
(/.f64 (neg.f64 #s(approx (- n f) (neg.f64 f))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- n f) (neg.f64 f)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- n f) (neg.f64 f)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (- n f) (neg.f64 f)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f)))) |
(*.f64 (/.f64 (neg.f64 f) n) n) |
(*.f64 (*.f64 (neg.f64 f) f) (pow.f64 f #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 n) f) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 f f))) |
(*.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (neg.f64 n) (/.f64 f n)) |
(*.f64 #s(literal -1 binary64) f) |
(*.f64 (neg.f64 f) #s(literal 1 binary64)) |
(*.f64 (/.f64 f n) (neg.f64 n)) |
(*.f64 n (/.f64 (neg.f64 f) n)) |
(*.f64 f #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (*.f64 (neg.f64 f) f)) |
(/.f64 (*.f64 (neg.f64 f) f) f) |
(/.f64 (*.f64 (neg.f64 n) f) n) |
(/.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 f f) (*.f64 #s(literal 0 binary64) (neg.f64 f))))) |
(/.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (*.f64 f f)) |
(/.f64 (*.f64 n f) (neg.f64 n)) |
(/.f64 (*.f64 f f) (neg.f64 f)) |
(/.f64 (neg.f64 n) (/.f64 n f)) |
(/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 (neg.f64 f) f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (pow.f64 (neg.f64 f) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 f #s(literal -1 binary64)))) |
(/.f64 n (/.f64 (neg.f64 n) f)) |
(neg.f64 f) |
(fma.f64 (/.f64 (neg.f64 f) n) n #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 f) f) (pow.f64 f #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 n) f) (pow.f64 n #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 f f)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 n) (/.f64 f n) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) f #s(literal 0 binary64)) |
(fma.f64 (neg.f64 f) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 f n) (neg.f64 n) #s(literal 0 binary64)) |
(fma.f64 n (/.f64 (neg.f64 f) n) #s(literal 0 binary64)) |
(fma.f64 f #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) f) f) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 f f)) (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 f f))) |
(-.f64 #s(literal 0 binary64) f) |
(+.f64 #s(literal 0 binary64) (neg.f64 f)) |
(+.f64 (neg.f64 f) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ n f) (+.f64 n f)))) |
(*.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ n f) (+.f64 n f))) |
(pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64)) |
#s(approx (+ n f) (+.f64 n f)) |
(/.f64 (neg.f64 #s(approx (+ n f) (+.f64 n f))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ n f) (+.f64 n f)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ n f) (+.f64 n f)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
Compiled 29 181 to 2 855 computations (90.2% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 113 | 0 | 1 113 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 1 113 | 11 | 1 124 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ✓ | 46.3% | (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) |
| ✓ | 87.8% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
| ✓ | 90.0% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
| ✓ | 54.3% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 46.7% | (/.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))) |
| ✓ | 90.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
| ✓ | 54.4% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
| ✓ | 45.5% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 383 to 173 computations (54.8% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 n f) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f)))) (-.f64 f n)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
3 calls:
| 8.0ms | f |
| 5.0ms | n |
| 4.0ms | (/.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 10 to 10 computations (0% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 n f) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))) |
| Outputs |
|---|
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
3 calls:
| 6.0ms | f |
| 5.0ms | n |
| 4.0ms | (/.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 10 to 10 computations (0% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 n f) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| Outputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
3 calls:
| 4.0ms | f |
| 4.0ms | n |
| 3.0ms | (/.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 10 to 10 computations (0% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 n f) #s(approx (- n f) (neg.f64 f))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
3 calls:
| 4.0ms | n |
| 3.0ms | f |
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | f |
| 75.9% | 3 | n |
| 97.8% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 10 computations (0% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 n f) #s(approx (- n f) (neg.f64 f))) |
| 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 |
|---|---|---|
| 97.0% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #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 |
|---|---|---|
| 97.0% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% 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 (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% 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 |
|---|---|---|
| 45.5% | 1 | n |
| 45.5% | 1 | f |
| 45.5% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8768447539261539 | 0.9892304822310032 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8768447539261539 | 0.9892304822310032 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8768447539261539 | 0.9892304822310032 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -0.8768447539261539 | 0.9892304822310032 |
| 4.0ms | 240× | 0 | valid |
Compiled 311 to 281 computations (9.6% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 185 |
| 1 | 66 | 185 |
| 2 | 97 | 185 |
| 3 | 130 | 180 |
| 4 | 167 | 180 |
| 5 | 253 | 180 |
| 6 | 371 | 180 |
| 7 | 484 | 180 |
| 8 | 551 | 180 |
| 9 | 596 | 180 |
| 10 | 618 | 180 |
| 11 | 621 | 180 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(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)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))) |
(-.f64 (/.f64 (*.f64 (/.f64 n (-.f64 n f)) n) (-.f64 n f)) (/.f64 (*.f64 (/.f64 f (-.f64 n f)) f) (-.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(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)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #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)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))) |
(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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1333 | 469 |
| 3 | 5177 | 459 |
| 0 | 8642 | 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 |
Compiled 257 to 104 computations (59.5% saved)
Compiled 376 to 94 computations (75% saved)
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