
Time bar (total: 7.6s)
| 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)
| 376.0ms | 8 256× | 0 | valid |
ival-div: 80.0ms (37.6% of total)ival-add: 47.0ms (22.1% of total)ival-sub: 40.0ms (18.8% of total)ival-neg: 37.0ms (17.4% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 446× | times-frac |
| 332× | div-sub |
| 304× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 224× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 54 |
| 1 | 72 | 42 |
| 2 | 196 | 42 |
| 3 | 547 | 42 |
| 4 | 1424 | 42 |
| 5 | 1628 | 42 |
| 6 | 1656 | 42 |
| 7 | 1724 | 42 |
| 8 | 1781 | 42 |
| 0 | 6 | 8 |
| 1 | 17 | 8 |
| 2 | 37 | 8 |
| 3 | 74 | 7 |
| 4 | 159 | 7 |
| 5 | 303 | 7 |
| 6 | 600 | 7 |
| 7 | 723 | 7 |
| 8 | 755 | 7 |
| 9 | 771 | 7 |
| 10 | 772 | 7 |
| 0 | 772 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (neg (+ f n)) (- f n)) |
| Outputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
| Inputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(/ (neg (+ (neg f) n)) (- (neg f) n)) |
(/ (neg (+ f (neg n))) (- f (neg n))) |
(neg (/ (neg (+ (neg f) n)) (- (neg f) n))) |
(neg (/ (neg (+ f (neg n))) (- f (neg n)))) |
(/ (neg (+ n f)) (- n f)) |
| Outputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(/ (+ f n) (- n f)) |
(/ (neg (+ (neg f) n)) (- (neg f) n)) |
(/ (- n f) (+ f n)) |
(/ (neg (+ f (neg n))) (- f (neg n))) |
(/ (- n f) (+ f n)) |
(neg (/ (neg (+ (neg f) n)) (- (neg f) n))) |
(/ (- f n) (+ f n)) |
(neg (/ (neg (+ f (neg n))) (- f (neg n)))) |
(/ (- f n) (+ f n)) |
(/ (neg (+ n f)) (- n f)) |
(/ (+ f n) (- f n)) |
| 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-sub: 3.0ms (25.7% of total)ival-div: 3.0ms (25.7% of total)ival-add: 3.0ms (25.7% of total)ival-neg: 2.0ms (17.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (neg.f64 (+.f64 f n)) |
| ✓ | cost-diff | 0 | (-.f64 f n) |
| ✓ | cost-diff | 0 | (+.f64 f n) |
| ✓ | cost-diff | 192 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 304× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 224× | div-sub |
| 176× | *-lowering-*.f32 |
| 176× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 1 | 17 | 20 |
| 2 | 37 | 20 |
| 3 | 74 | 19 |
| 4 | 159 | 19 |
| 5 | 303 | 19 |
| 6 | 600 | 19 |
| 7 | 723 | 19 |
| 8 | 755 | 19 |
| 9 | 771 | 19 |
| 10 | 772 | 19 |
| 0 | 772 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(neg (+ f n)) |
(+ f n) |
f |
n |
(- f n) |
| Outputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(neg (+ f n)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(+ f n) |
(+.f64 f n) |
f |
n |
(- f n) |
(-.f64 f n) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 f n) |
| ✓ | accuracy | 100.0% | (+.f64 f n) |
| ✓ | accuracy | 100.0% | (neg.f64 (+.f64 f n)) |
| ✓ | accuracy | 99.9% | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 14.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
ival-sub: 3.0ms (39.4% of total)ival-div: 2.0ms (26.3% of total)ival-add: 1.0ms (13.1% of total)ival-neg: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (neg (+ f n)) (- f n))> |
#<alt (+ f n)> |
#<alt (- f n)> |
#<alt (neg (+ f n))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))> |
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)> |
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)> |
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))> |
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)> |
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))> |
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))> |
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))> |
#<alt n> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt f> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt f> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt f> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt n> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt n> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 n)> |
#<alt (- f n)> |
#<alt (- f n)> |
#<alt (- f n)> |
#<alt f> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt f> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt f> |
#<alt (+ f (* -1 n))> |
#<alt (+ f (* -1 n))> |
#<alt (+ f (* -1 n))> |
#<alt (* -1 n)> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* -1 n)> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 n)> |
#<alt (- (* -1 f) n)> |
#<alt (- (* -1 f) n)> |
#<alt (- (* -1 f) n)> |
#<alt (* -1 f)> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* -1 f)> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 f)> |
#<alt (- (* -1 n) f)> |
#<alt (- (* -1 n) f)> |
#<alt (- (* -1 n) f)> |
#<alt (* -1 n)> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* -1 n)> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | 0 | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | f | @ | -inf | (/ (neg (+ f n)) (- f n)) |
| 0.0ms | n | @ | -inf | (/ (neg (+ f n)) (- f n)) |
| 1× | batch-egg-rewrite |
| 2 824× | *-lowering-*.f32 |
| 2 824× | *-lowering-*.f64 |
| 2 620× | /-lowering-/.f32 |
| 2 620× | /-lowering-/.f64 |
| 1 912× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 42 | 18 |
| 2 | 323 | 17 |
| 0 | 5527 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (neg (+ f n)) (- f n)) |
(+ f n) |
(- f n) |
(neg (+ f n)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f)) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 f n)) (/.f64 n (-.f64 f n))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)))) |
(fma.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n))) |
(fma.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))))) |
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)))) |
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f))) |
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f)) |
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 f n)) |
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (-.f64 #s(literal 0 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))) |
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (neg.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n)) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n)) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))) |
| 1× | egg-herbie |
| 14 778× | accelerator-lowering-fma.f32 |
| 14 778× | accelerator-lowering-fma.f64 |
| 3 728× | *-lowering-*.f32 |
| 3 728× | *-lowering-*.f64 |
| 1 970× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5181 | 459 |
| 0 | 8659 | 432 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.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 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (fma.f64 n (/.f64 (+.f64 n n) f) #s(literal 0 binary64)) n)) f)) |
-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 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n)) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
f |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
f |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
f |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) 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) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
Compiled 16 293 to 1 652 computations (89.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 9 | 668 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 660 | 9 | 669 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.2% | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) | |
| 55.0% | (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) | |
| ▶ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ▶ | 46.8% | (/.f64 (neg.f64 (+.f64 f n)) f) |
| 54.7% | (/.f64 (neg.f64 n) (-.f64 f n)) | |
| ▶ | 47.3% | (/.f64 (neg.f64 f) (-.f64 f n)) |
| 53.6% | #s(literal 1 binary64) | |
| ▶ | 46.0% | #s(literal -1 binary64) |
Compiled 142 to 90 computations (36.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 n f) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | -64 | (neg.f64 (+.f64 f n)) |
| ✓ | cost-diff | 0 | (+.f64 f n) |
| ✓ | cost-diff | 192 | (/.f64 (neg.f64 (+.f64 f n)) f) |
| ✓ | cost-diff | -64 | (neg.f64 f) |
| ✓ | cost-diff | 0 | (-.f64 f n) |
| ✓ | cost-diff | 192 | (/.f64 (neg.f64 f) (-.f64 f n)) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (+.f64 f n) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 624× | accelerator-lowering-fma.f32 |
| 624× | accelerator-lowering-fma.f64 |
| 410× | times-frac |
| 400× | *-lowering-*.f32 |
| 400× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 1 | 33 | 58 |
| 2 | 68 | 57 |
| 3 | 129 | 56 |
| 4 | 231 | 56 |
| 5 | 392 | 56 |
| 6 | 980 | 56 |
| 7 | 1351 | 56 |
| 8 | 1425 | 56 |
| 9 | 1462 | 56 |
| 10 | 1480 | 56 |
| 0 | 1480 | 55 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ f n) (- n f)) |
(+ f n) |
f |
n |
(- n f) |
-1 |
(/ (neg f) (- f n)) |
(neg f) |
f |
(- f n) |
n |
(/ (neg (+ f n)) f) |
(neg (+ f n)) |
(+ f n) |
f |
n |
(+ (* (/ n f) -2) -1) |
(/ n f) |
n |
f |
-2 |
-1 |
| Outputs |
|---|
(/ (+ f n) (- n f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+ f n) |
(+.f64 f n) |
f |
n |
(- n f) |
(-.f64 n f) |
-1 |
#s(literal -1 binary64) |
(/ (neg f) (- f n)) |
(/.f64 f (-.f64 n f)) |
(neg f) |
(-.f64 #s(literal 0 binary64) f) |
f |
(- f n) |
(-.f64 f n) |
n |
(/ (neg (+ f n)) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(neg (+ f n)) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(+ f n) |
(+.f64 f n) |
f |
n |
(+ (* (/ n f) -2) -1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(/ n f) |
(/.f64 n f) |
n |
f |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 n f) |
| ✓ | accuracy | 100.0% | (+.f64 f n) |
| ✓ | accuracy | 100.0% | (neg.f64 (+.f64 f n)) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 (+.f64 f n)) f) |
| ✓ | accuracy | 100.0% | (-.f64 f n) |
| ✓ | accuracy | 100.0% | (neg.f64 f) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 f) (-.f64 f n)) |
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (+.f64 f n) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| 38.0ms | 256× | 0 | valid |
Compiled 59 to 17 computations (71.2% saved)
ival-div: 14.0ms (59.9% of total)ival-add: 3.0ms (12.8% of total)ival-sub: 2.0ms (8.6% of total)ival-mult: 2.0ms (8.6% of total)ival-neg: 2.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ f n) (- n f))> |
#<alt (+ f n)> |
#<alt (- n f)> |
#<alt (/ (neg f) (- f n))> |
#<alt (- f n)> |
#<alt (neg f)> |
#<alt (/ (neg (+ f n)) f)> |
#<alt (neg (+ f n))> |
#<alt (+ (* (/ n f) -2) -1)> |
#<alt (/ n f)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))> |
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))> |
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))> |
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)> |
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)> |
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)> |
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))> |
#<alt 1> |
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))> |
#<alt n> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt f> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt (* f (+ 1 (/ n f)))> |
#<alt f> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))> |
#<alt f> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt (+ f n)> |
#<alt n> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt (* n (+ 1 (/ f n)))> |
#<alt n> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))> |
#<alt (* -1 f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt n> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt n> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt n> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (* -1 f)> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* -1 f)> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (/ f n)> |
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))> |
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))> |
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))> |
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)> |
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)> |
#<alt (/ f n)> |
#<alt (/ (+ f (/ (pow f 2) n)) n)> |
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)> |
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)> |
#<alt (/ f n)> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))> |
#<alt (* -1 n)> |
#<alt (- f n)> |
#<alt (- f n)> |
#<alt (- f n)> |
#<alt f> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt (* f (+ 1 (* -1 (/ n f))))> |
#<alt f> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt (* -1 (* f (- (/ n f) 1)))> |
#<alt f> |
#<alt (+ f (* -1 n))> |
#<alt (+ f (* -1 n))> |
#<alt (+ f (* -1 n))> |
#<alt (* -1 n)> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* n (- (/ f n) 1))> |
#<alt (* -1 n)> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 f)> |
#<alt (* -1 (/ n f))> |
#<alt (/ (+ (* -1 f) (* -1 n)) f)> |
#<alt (/ (+ (* -1 f) (* -1 n)) f)> |
#<alt (/ (+ (* -1 f) (* -1 n)) f)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 n)> |
#<alt (- (* -1 f) n)> |
#<alt (- (* -1 f) n)> |
#<alt (- (* -1 f) n)> |
#<alt (* -1 f)> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* f (- (* -1 (/ n f)) 1))> |
#<alt (* -1 f)> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 (* f (+ 1 (/ n f))))> |
#<alt (* -1 f)> |
#<alt (- (* -1 n) f)> |
#<alt (- (* -1 n) f)> |
#<alt (- (* -1 n) f)> |
#<alt (* -1 n)> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* n (- (* -1 (/ f n)) 1))> |
#<alt (* -1 n)> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
#<alt (* -1 (* n (+ 1 (/ f n))))> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (* -2 (/ n f))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -2 (/ n f))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))> |
#<alt (* -2 (/ n f))> |
#<alt (/ (+ (* -2 n) (* -1 f)) f)> |
#<alt (/ (+ (* -2 n) (* -1 f)) f)> |
#<alt (/ (+ (* -2 n) (* -1 f)) f)> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | f | @ | -inf | (+ (* (/ n f) -2) -1) |
| 1.0ms | n | @ | 0 | (/ (neg (+ f n)) f) |
| 1.0ms | n | @ | inf | (/ (+ f n) (- n f)) |
| 1.0ms | f | @ | 0 | (/ (neg f) (- f n)) |
| 0.0ms | n | @ | inf | (+ (* (/ n f) -2) -1) |
| 1× | batch-egg-rewrite |
| 5 406× | accelerator-lowering-fma.f32 |
| 5 406× | accelerator-lowering-fma.f64 |
| 5 012× | *-lowering-*.f32 |
| 5 012× | *-lowering-*.f64 |
| 4 330× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 1 | 94 | 44 |
| 2 | 740 | 43 |
| 0 | 8894 | 42 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ f n) (- n f)) |
(+ f n) |
(- n f) |
(/ (neg f) (- f n)) |
(- f n) |
(neg f) |
(/ (neg (+ f n)) f) |
(neg (+ f n)) |
(+ (* (/ n f) -2) -1) |
(/ n f) |
| Outputs |
|---|
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n)))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n))) |
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f n))) |
(+.f64 (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(+.f64 (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n)))) |
(fma.f64 f (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 f (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f))) |
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(fma.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 #s(literal 0 binary64) f) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) f (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) f (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (neg.f64 (*.f64 f (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (neg.f64 (*.f64 f (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 #s(literal 0 binary64) f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 #s(literal 0 binary64) f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 f (-.f64 (-.f64 #s(literal 0 binary64) f) n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 f (-.f64 (-.f64 #s(literal 0 binary64) f) n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 #s(literal 0 binary64) f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 #s(literal 0 binary64) f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
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(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal -1 binary64))) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))))) (fma.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 2 binary64)) f))) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(/.f64 n f) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))) |
(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 #s(literal 1 binary64) (/.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64)) |
(/.f64 (*.f64 n #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) f) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (/.f64 n #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64))) f) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) #s(literal 1 binary64)) f) |
(pow.f64 (/.f64 f n) #s(literal -1 binary64)) |
(*.f64 n (/.f64 #s(literal 1 binary64) f)) |
(*.f64 (/.f64 n f) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 #s(literal 1 binary64) (/.f64 n f)) |
(*.f64 (/.f64 #s(literal 1 binary64) f) n) |
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) f) (-.f64 #s(literal 0 binary64) n)) |
(*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 n #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) f)) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (*.f64 f (*.f64 f f)))) (fma.f64 f f #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (*.f64 f f))) f) |
| 1× | egg-herbie |
| 9 982× | accelerator-lowering-fma.f32 |
| 9 982× | accelerator-lowering-fma.f64 |
| 2 956× | *-lowering-*.f32 |
| 2 956× | *-lowering-*.f64 |
| 2 256× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 1322 |
| 1 | 739 | 1298 |
| 2 | 2212 | 1129 |
| 3 | 6304 | 1129 |
| 0 | 8202 | 1060 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(/ f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(/ f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n) |
(/ f n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(* -1 n) |
(- f n) |
(- f n) |
(- f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
(* f (+ 1 (* -1 (/ n f)))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(* -1 (* f (- (/ n f) 1))) |
f |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(+ f (* -1 n)) |
(* -1 n) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* n (- (/ f n) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 f) |
(* -1 (/ n f)) |
(/ (+ (* -1 f) (* -1 n)) f) |
(/ (+ (* -1 f) (* -1 n)) f) |
(/ (+ (* -1 f) (* -1 n)) f) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(* -1 (/ n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (/ n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(- (* -1 f) n) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (- (* -1 (/ n f)) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(- (* -1 n) f) |
(* -1 n) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (* -1 (/ f n)) 1)) |
(* -1 n) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (/ f n)))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(* -2 (/ n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -2 (/ n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(* -2 (/ n f)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ (+ (* -2 n) (* -1 f)) f) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) (fma.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (fma.f64 f f #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 n n) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (fma.f64 f f #s(literal 0 binary64)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) (fma.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)))) n)) n)) |
n |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
(* f (+ 1 (/ n f))) |
(+.f64 f n) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 f n) |
f |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
(+ f n) |
(+.f64 f n) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
(* n (+ 1 (/ f n))) |
(+.f64 f n) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 f n) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(-.f64 n f) |
(/ f n) |
(/.f64 f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(fma.f64 f (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 f n)) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (fma.f64 f (fma.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f)) |
(/ f n) |
(/.f64 f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) |
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n) |
(/.f64 (+.f64 f (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n (*.f64 n n))))) n) |
(/ f n) |
(/.f64 f n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (fma.f64 f f #s(literal 0 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
(- f n) |
(-.f64 f n) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
f |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
f |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) 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) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (/ n f)) |
(/.f64 n (-.f64 #s(literal 0 binary64) f)) |
(/ (+ (* -1 f) (* -1 n)) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/ (+ (* -1 f) (* -1 n)) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/ (+ (* -1 f) (* -1 n)) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (/ n f)) |
(/.f64 n (-.f64 #s(literal 0 binary64) f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (/ n f)) |
(/.f64 n (-.f64 #s(literal 0 binary64) f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (-.f64 #s(literal 0 binary64) n) f) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 n (/.f64 #s(literal -2 binary64) f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 n (/.f64 #s(literal -2 binary64) f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(* -2 (/ n f)) |
(*.f64 n (/.f64 #s(literal -2 binary64) f)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
Compiled 32 449 to 3 050 computations (90.6% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 549 | 3 | 1 552 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 552 | 9 | 1 561 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.2% | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
| 55.0% | (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) | |
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ▶ | 54.7% | (/.f64 n (-.f64 n f)) |
| ▶ | 47.3% | (/.f64 f (-.f64 n f)) |
| ▶ | 46.8% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ▶ | 53.6% | #s(literal 1 binary64) |
| ✓ | 46.0% | #s(literal -1 binary64) |
Compiled 116 to 72 computations (37.9% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 n (-.f64 n f)) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 f (-.f64 n f)) |
| ✓ | cost-diff | 0 | (/.f64 n f) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) |
| ✓ | cost-diff | 1088 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
| 400× | accelerator-lowering-fma.f32 |
| 400× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 150× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 28 | 57 |
| 2 | 50 | 55 |
| 3 | 108 | 55 |
| 4 | 191 | 55 |
| 5 | 271 | 55 |
| 6 | 405 | 55 |
| 7 | 554 | 55 |
| 8 | 714 | 55 |
| 9 | 773 | 55 |
| 10 | 783 | 55 |
| 0 | 783 | 55 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
(/ 1 (- n f)) |
1 |
(- n f) |
n |
f |
(* (/ 1 (- n f)) n) |
1 |
(- -1 (/ n f)) |
-1 |
(/ n f) |
n |
f |
(/ f (- n f)) |
f |
(- n f) |
n |
(/ n (- n f)) |
n |
(- n f) |
f |
| Outputs |
|---|
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/ 1 (- n f)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
1 |
#s(literal 1 binary64) |
(- n f) |
(-.f64 n f) |
n |
f |
(* (/ 1 (- n f)) n) |
(/.f64 n (-.f64 n f)) |
1 |
#s(literal 1 binary64) |
(- -1 (/ n f)) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(/ n f) |
(/.f64 n f) |
n |
f |
(/ f (- n f)) |
(/.f64 f (-.f64 n f)) |
f |
(- n f) |
(-.f64 n f) |
n |
(/ n (- n f)) |
(/.f64 n (-.f64 n f)) |
n |
(- n f) |
(-.f64 n f) |
f |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 n (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 f (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (/.f64 n f) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) |
| 25.0ms | 256× | 0 | valid |
Compiled 66 to 15 computations (77.3% saved)
ival-div: 7.0ms (50.4% of total)ival-sub: 3.0ms (21.6% of total)ival-mult: 3.0ms (21.6% of total)ival-add: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n))> |
#<alt (* (/ 1 (- n f)) n)> |
#<alt (/ 1 (- n f))> |
#<alt (- n f)> |
#<alt (- -1 (/ n f))> |
#<alt (/ n f)> |
#<alt (/ f (- n f))> |
#<alt (/ n (- n f))> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)> |
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))> |
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (* -1 (/ n f))> |
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))> |
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))> |
#<alt (/ -1 f)> |
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))> |
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))> |
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))> |
#<alt (/ 1 n)> |
#<alt (/ (+ 1 (/ f n)) n)> |
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)> |
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)> |
#<alt (/ 1 n)> |
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))> |
#<alt (/ 1 n)> |
#<alt (+ (/ 1 n) (/ f (pow n 2)))> |
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))> |
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))> |
#<alt (/ -1 f)> |
#<alt (/ (- (* -1 (/ n f)) 1) f)> |
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)> |
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)> |
#<alt (/ -1 f)> |
#<alt (* -1 (/ (+ 1 (/ n f)) f))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))> |
#<alt (* -1 f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt n> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt n> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt n> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (* -1 f)> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* -1 f)> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (/ (- (* -1 f) n) f)> |
#<alt (/ (- (* -1 f) n) f)> |
#<alt (/ (- (* -1 f) n) f)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ n f)> |
#<alt (/ f n)> |
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))> |
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))> |
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))> |
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) 1)> |
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)> |
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)> |
#<alt (/ f n)> |
#<alt (/ (+ f (/ (pow f 2) n)) n)> |
#<alt (/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)> |
#<alt (/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)> |
#<alt (/ f n)> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))> |
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))> |
#<alt (* -1 (/ n f))> |
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))> |
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | -inf | (/ 1 (- n f)) |
| 0.0ms | n | @ | inf | (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
| 0.0ms | f | @ | inf | (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
| 0.0ms | n | @ | -inf | (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
| 0.0ms | f | @ | -inf | (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
| 1× | batch-egg-rewrite |
| 5 814× | accelerator-lowering-fma.f32 |
| 5 814× | accelerator-lowering-fma.f64 |
| 4 390× | *-lowering-*.f32 |
| 4 390× | *-lowering-*.f64 |
| 4 142× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1 | 84 | 40 |
| 2 | 952 | 38 |
| 0 | 8646 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n)) |
(* (/ 1 (- n f)) n) |
(/ 1 (- n f)) |
(- n f) |
(- -1 (/ n f)) |
(/ n f) |
(/ f (- n f)) |
(/ n (- n f)) |
| Outputs |
|---|
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(-.f64 (/.f64 n (-.f64 n f)) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f)))) |
(-.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))) (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f))) |
(fma.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (/.f64 f (-.f64 n f))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (/.f64 n (-.f64 n f))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 f (-.f64 n f))) |
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (*.f64 f (-.f64 n f)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (*.f64 f (/.f64 f (-.f64 n f))) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (/.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 f (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (/.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 f (-.f64 n f)) f) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (/.f64 (/.f64 (/.f64 f (-.f64 n f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 f (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (/.f64 n (-.f64 n f))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (pow.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (fma.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))))) (+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 f (-.f64 n f))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 f f))) (/.f64 f (-.f64 n f))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) f)) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(/.f64 #s(literal 1 binary64) (/.f64 f n)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 f n)))) |
(/.f64 n f) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))) |
(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) f)) |
(pow.f64 (/.f64 f n) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 n f)) |
(*.f64 n (/.f64 #s(literal 1 binary64) f)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(*.f64 (/.f64 n f) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 (/.f64 #s(literal 1 binary64) f) n) |
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 f #s(literal -1 binary64)))) |
(/.f64 f (-.f64 n f)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(/.f64 (-.f64 #s(literal 0 binary64) f) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) |
(/.f64 (*.f64 f #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) |
(/.f64 (neg.f64 (*.f64 f #s(literal -1 binary64))) (-.f64 n f)) |
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))) |
(*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n))) |
(*.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f)) |
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(neg.f64 (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 n #s(literal -1 binary64)))) |
(/.f64 n (-.f64 n f)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) |
(/.f64 (*.f64 n #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) |
(/.f64 (neg.f64 (*.f64 n #s(literal -1 binary64))) (-.f64 n f)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) |
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n))) |
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f)) |
(*.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 11 094× | accelerator-lowering-fma.f32 |
| 11 094× | accelerator-lowering-fma.f64 |
| 3 478× | *-lowering-*.f32 |
| 3 478× | *-lowering-*.f64 |
| 3 266× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 1871 |
| 1 | 1045 | 1725 |
| 2 | 2814 | 1548 |
| 3 | 7782 | 1548 |
| 0 | 8227 | 1442 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/ -1 f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/ 1 n) |
(/ (+ 1 (/ f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/ 1 n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/ 1 n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ -1 f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/ -1 f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(* -1 (/ n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (/ n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (- (* -1 f) n) f) |
(/ (- (* -1 f) n) f) |
(/ (- (* -1 f) n) f) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ n f)) 1) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ n f) |
(/ f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
-1 |
(- (* -1 (/ n f)) 1) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(/ f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n) |
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n) |
(/ f n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(fma.f64 f (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 f f) (*.f64 (*.f64 f (+.f64 f f)) (/.f64 f n))) n) (+.f64 f f)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n f)) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 (*.f64 n (*.f64 n n)) (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) f)) f)) f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (-.f64 #s(literal 0 binary64) (*.f64 f f)))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f))) f) n) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) 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) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (* n (+ (/ 1 f) (/ 1 n)))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(/ (- (* -1 f) n) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/ (- (* -1 f) n) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/ (- (* -1 f) n) f) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ n f) |
(/.f64 n f) |
(/ f n) |
(/.f64 f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) |
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) |
(/ f n) |
(/.f64 f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n) |
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) |
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n) |
(/.f64 (+.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) (/.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 n (*.f64 n n)))) n) |
(/ f n) |
(/.f64 f n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (*.f64 f (*.f64 f (*.f64 f f))) n)) n)) n)) n) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (-.f64 #s(literal 0 binary64) (*.f64 f f)))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f))) f) n) f) |
Compiled 17 924 to 1 437 computations (92% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 911 | 3 | 914 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 913 | 10 | 923 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.2% | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| ▶ | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
| ▶ | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
| ▶ | 55.0% | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 54.7% | (/.f64 n (-.f64 n f)) |
| ✓ | 47.3% | (/.f64 f (-.f64 n f)) |
| ✓ | 46.8% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ✓ | 53.6% | #s(literal 1 binary64) |
| ✓ | 46.0% | #s(literal -1 binary64) |
Compiled 82 to 52 computations (36.6% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 n (-.f64 n f)) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | cost-diff | 1088 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) n) |
| ✓ | cost-diff | 0 | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
| 688× | accelerator-lowering-fma.f32 |
| 688× | accelerator-lowering-fma.f64 |
| 416× | *-lowering-*.f32 |
| 416× | *-lowering-*.f64 |
| 194× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 84 |
| 1 | 31 | 80 |
| 2 | 47 | 80 |
| 3 | 92 | 80 |
| 4 | 136 | 80 |
| 5 | 203 | 80 |
| 6 | 297 | 80 |
| 7 | 544 | 78 |
| 8 | 974 | 76 |
| 9 | 1190 | 76 |
| 10 | 1329 | 76 |
| 11 | 1361 | 76 |
| 12 | 1367 | 76 |
| 0 | 1367 | 75 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* f (/ 2 n)) 1) |
f |
(/ 2 n) |
2 |
n |
1 |
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n)))) |
(/ 1 (- n f)) |
1 |
(- n f) |
n |
f |
(/ 1 (- 1 (/ f n))) |
(- 1 (/ f n)) |
(/ f n) |
(+ (* (/ 1 (- n f)) f) (/ n (- n f))) |
(/ 1 (- n f)) |
1 |
(- n f) |
n |
f |
(/ n (- n f)) |
| Outputs |
|---|
(+ (* f (/ 2 n)) 1) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
f |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
2 |
#s(literal 2 binary64) |
n |
1 |
#s(literal 1 binary64) |
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n)))) |
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/ 1 (- n f)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
1 |
#s(literal 1 binary64) |
(- n f) |
(-.f64 n f) |
n |
f |
(/ 1 (- 1 (/ f n))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(- 1 (/ f n)) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(/ f n) |
(/.f64 f n) |
(+ (* (/ 1 (- n f)) f) (/ n (- n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/ 1 (- n f)) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
1 |
#s(literal 1 binary64) |
(- n f) |
(-.f64 n f) |
n |
f |
(/ n (- n f)) |
(/.f64 n (-.f64 n f)) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 n (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 f n)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) n) |
| ✓ | accuracy | 99.9% | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
| 35.0ms | 256× | 0 | valid |
Compiled 83 to 18 computations (78.3% saved)
ival-div: 9.0ms (50.2% of total)ival-add: 3.0ms (16.7% of total)ival-mult: 3.0ms (16.7% of total)ival-sub: 2.0ms (11.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* f (/ 2 n)) 1)> |
#<alt (/ 2 n)> |
#<alt (+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n))))> |
#<alt (/ 1 (- n f))> |
#<alt (- n f)> |
#<alt (/ 1 (- 1 (/ f n)))> |
#<alt (+ (* (/ 1 (- n f)) f) (/ n (- n f)))> |
#<alt (/ n (- n f))> |
#<alt (- 1 (/ f n))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (* 2 (/ f n))> |
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))> |
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))> |
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))> |
#<alt (* 2 (/ f n))> |
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))> |
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))> |
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))> |
#<alt (* 2 (/ f n))> |
#<alt (/ (+ n (* 2 f)) n)> |
#<alt (/ (+ n (* 2 f)) n)> |
#<alt (/ (+ n (* 2 f)) n)> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt (/ 2 n)> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)> |
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))> |
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (/ -1 f)> |
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))> |
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))> |
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))> |
#<alt (/ 1 n)> |
#<alt (/ (+ 1 (/ f n)) n)> |
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)> |
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)> |
#<alt (/ 1 n)> |
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))> |
#<alt (/ 1 n)> |
#<alt (+ (/ 1 n) (/ f (pow n 2)))> |
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))> |
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))> |
#<alt (/ -1 f)> |
#<alt (/ (- (* -1 (/ n f)) 1) f)> |
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)> |
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)> |
#<alt (/ -1 f)> |
#<alt (* -1 (/ (+ 1 (/ n f)) f))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))> |
#<alt (* -1 f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt (- n f)> |
#<alt n> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt (* n (+ 1 (* -1 (/ f n))))> |
#<alt n> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt (* -1 (* n (- (/ f n) 1)))> |
#<alt n> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (+ n (* -1 f))> |
#<alt (* -1 f)> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* f (- (/ n f) 1))> |
#<alt (* -1 f)> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))> |
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))> |
#<alt (* -1 (/ n f))> |
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)> |
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)> |
#<alt 1> |
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))> |
#<alt 1> |
#<alt (+ 1 (* 2 (/ f n)))> |
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))> |
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))> |
#<alt -1> |
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))> |
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))> |
#<alt -1> |
#<alt (- (* -2 (/ n f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)> |
#<alt (* -1 (/ n f))> |
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))> |
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))> |
#<alt 1> |
#<alt (+ 1 (/ f n))> |
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))> |
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))> |
#<alt (* -1 (/ n f))> |
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)> |
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)> |
#<alt (* -1 (/ n f))> |
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))> |
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (* -1 (/ f n))> |
#<alt (* f (- (/ 1 f) (/ 1 n)))> |
#<alt (* f (- (/ 1 f) (/ 1 n)))> |
#<alt (* f (- (/ 1 f) (/ 1 n)))> |
#<alt (* -1 (/ f n))> |
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))> |
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))> |
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))> |
#<alt (* -1 (/ f n))> |
#<alt (/ (- n f) n)> |
#<alt (/ (- n f) n)> |
#<alt (/ (- n f) n)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
#<alt (+ 1 (* -1 (/ f n)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | 0 | (+ (* f (/ 2 n)) 1) |
| 0.0ms | f | @ | 0 | (+ (* f (/ 2 n)) 1) |
| 0.0ms | f | @ | inf | (+ (* f (/ 2 n)) 1) |
| 0.0ms | n | @ | 0 | (/ 2 n) |
| 0.0ms | n | @ | -inf | (/ 2 n) |
| 1× | batch-egg-rewrite |
| 4 700× | /-lowering-/.f32 |
| 4 700× | /-lowering-/.f64 |
| 4 508× | *-lowering-*.f32 |
| 4 508× | *-lowering-*.f64 |
| 4 424× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 63 |
| 1 | 118 | 57 |
| 2 | 1138 | 57 |
| 0 | 8366 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* f (/ 2 n)) 1) |
(/ 2 n) |
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n)))) |
(/ 1 (- n f)) |
(- n f) |
(/ 1 (- 1 (/ f n))) |
(+ (* (/ 1 (- n f)) f) (/ n (- n f))) |
(/ n (- n f)) |
(- 1 (/ f n)) |
| Outputs |
|---|
(+.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(fma.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(fma.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) (*.f64 f #s(literal 2 binary64))) (*.f64 f #s(literal 2 binary64))) n))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) (*.f64 f #s(literal 2 binary64))) (*.f64 f #s(literal 2 binary64))) n)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) n)) |
(/.f64 #s(literal 2 binary64) n) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)))) |
(pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) |
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))) |
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f)))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64) (/.f64 f (-.f64 n f))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 f (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f (-.f64 n f))) |
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(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f)))) (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 f n) (-.f64 n f)) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 n f)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(*.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (-.f64 n f)))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 (-.f64 f n) (-.f64 n f)) (-.f64 f n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) n)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 n f))) (/.f64 n (-.f64 #s(literal 0 binary64) (-.f64 n f)))) |
(neg.f64 (/.f64 n (-.f64 #s(literal 0 binary64) (-.f64 n f)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 n f))) |
(/.f64 n (-.f64 n f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (-.f64 n f))) |
(/.f64 (*.f64 n #s(literal 1 binary64)) (-.f64 n f)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 n f)))) |
(/.f64 (*.f64 n #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 n f))) |
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 n f))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 n f))))) |
(/.f64 (neg.f64 (*.f64 n #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 n f)))) |
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n))) |
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(*.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n)) |
(*.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 f n) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))))) |
(fma.f64 f (neg.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (neg.f64 (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 f n)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 f n) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 f n) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
| 1× | egg-herbie |
| 11 976× | accelerator-lowering-fma.f32 |
| 11 976× | accelerator-lowering-fma.f64 |
| 3 798× | *-lowering-*.f32 |
| 3 798× | *-lowering-*.f64 |
| 2 688× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 1975 |
| 1 | 918 | 1853 |
| 2 | 2438 | 1680 |
| 3 | 7965 | 1680 |
| 0 | 8025 | 1559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 n) |
(/ 2 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 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(/ -1 f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/ 1 n) |
(/ (+ 1 (/ f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/ 1 n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/ 1 n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ -1 f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/ -1 f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
1 |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
1 |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
(* -1 (/ f n)) |
(* f (- (/ 1 f) (/ 1 n))) |
(* f (- (/ 1 f) (/ 1 n))) |
(* f (- (/ 1 f) (/ 1 n))) |
(* -1 (/ f n)) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(* -1 (/ f n)) |
(/ (- n f) n) |
(/ (- n f) n) |
(/ (- n f) n) |
1 |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
1 |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
(+ 1 (* -1 (/ f n))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(* 2 (/ f n)) |
(/.f64 (+.f64 f f) n) |
(/ (+ n (* 2 f)) n) |
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n) |
(/ (+ n (* 2 f)) n) |
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n) |
(/ (+ n (* 2 f)) n) |
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #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) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 f #s(literal -2 binary64)) (/.f64 (fma.f64 f (+.f64 f f) (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n f)) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 n (*.f64 f f))) (/.f64 n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 n (*.f64 f f))) (/.f64 n f))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (+.f64 n n)) f)) f)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) f)) f)) f)) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(fma.f64 n (fma.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n (*.f64 f (*.f64 f (*.f64 f f))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) f) (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) #s(literal -1 binary64)) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) f) (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) #s(literal -1 binary64)) f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
(- n f) |
(-.f64 n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
(* n (+ 1 (* -1 (/ f n)))) |
(-.f64 n f) |
n |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
(* -1 (* n (- (/ f n) 1))) |
(-.f64 n f) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* f (- (/ n f) 1)) |
(-.f64 n f) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) 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 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) (-.f64 #s(literal 0 binary64) f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 f (*.f64 f f)))) (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n)) f) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) (-.f64 #s(literal 0 binary64) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) (-.f64 #s(literal 0 binary64) f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (fma.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n (*.f64 f (*.f64 f (*.f64 f f))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 f #s(literal -2 binary64)) (/.f64 (fma.f64 f (+.f64 f f) (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n f)) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 n (*.f64 f f))) (/.f64 n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 #s(literal 2 binary64) (*.f64 n (/.f64 n (*.f64 f f))) (/.f64 n f))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (+.f64 n n)) f)) f)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) f)) f)) f)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (fma.f64 n (fma.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n (*.f64 f (*.f64 f (*.f64 f f))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) (-.f64 #s(literal 0 binary64) f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 f (*.f64 f f)))) (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n)) f) |
(* -1 (/ n f)) |
(-.f64 #s(literal 0 binary64) (/.f64 n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) (-.f64 #s(literal 0 binary64) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) (-.f64 #s(literal 0 binary64) f)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(-.f64 #s(literal 0 binary64) (/.f64 f n)) |
(* f (- (/ 1 f) (/ 1 n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* f (- (/ 1 f) (/ 1 n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* f (- (/ 1 f) (/ 1 n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(-.f64 #s(literal 0 binary64) (/.f64 f n)) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* -1 (* f (- (/ 1 n) (/ 1 f)))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(* -1 (/ f n)) |
(-.f64 #s(literal 0 binary64) (/.f64 f n)) |
(/ (- n f) n) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(/ (- n f) n) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(/ (- n f) n) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
(+ 1 (* -1 (/ f n))) |
(-.f64 #s(literal 1 binary64) (/.f64 f n)) |
Compiled 18 573 to 1 626 computations (91.2% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 821 | 1 | 822 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 7 | 7 |
| Total | 822 | 10 | 832 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.2% | (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
| ✓ | 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
| ✓ | 55.0% | (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
| ✓ | 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) |
| ✓ | 54.7% | (/.f64 n (-.f64 n f)) |
| ✓ | 47.3% | (/.f64 f (-.f64 n f)) |
| ✓ | 46.8% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| 100.0% | (+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) | |
| ✓ | 53.6% | #s(literal 1 binary64) |
| ✓ | 46.0% | #s(literal -1 binary64) |
Compiled 204 to 88 computations (56.9% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) |
| Outputs |
|---|
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
3 calls:
| 7.0ms | n |
| 5.0ms | f |
| 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 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
3 calls:
| 7.0ms | n |
| 5.0ms | f |
| 4.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | f |
| 99.9% | 1 | n |
| 99.9% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
| Outputs |
|---|
(/.f64 n (-.f64 n f)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
2 calls:
| 3.0ms | n |
| 3.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | f |
| 80.3% | 3 | n |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 f (-.f64 n f)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(/.f64 f (-.f64 n f)) |
#s(literal 1 binary64) |
1 calls:
| 20.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
#s(literal 1 binary64) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
2 calls:
| 1.0ms | n |
| 1.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 1 | f |
| 46.0% | 1 | n |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.3399023056496228e-30 | 4.0703710381441085e-24 |
| 59.0ms | -3.8161898217229785e-31 | -6.133490741262209e-33 |
| 62.0ms | 256× | 0 | valid |
Compiled 269 to 171 computations (36.4% saved)
ival-div: 2.0ms (34.9% of total)ival-sub: 1.0ms (17.4% of total)ival-add: 1.0ms (17.4% of total)ival-neg: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3399023056496228e-30 | 4.0703710381441085e-24 |
| 8.0ms | -3.8161898217229785e-31 | -6.133490741262209e-33 |
| 13.0ms | 256× | 0 | valid |
Compiled 205 to 155 computations (24.4% saved)
ival-neg: 3.0ms (41.3% of total)ival-div: 2.0ms (27.5% of total)ival-sub: 1.0ms (13.8% of total)ival-add: 1.0ms (13.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 1.3399023056496228e-30 | 4.0703710381441085e-24 |
| 2.0ms | -8.497127497951852e-55 | -7.075867854118798e-55 |
| 66.0ms | 176× | 0 | valid |
Compiled 145 to 121 computations (16.6% saved)
ival-sub: 1.0ms (24.3% of total)ival-div: 1.0ms (24.3% of total)ival-add: 1.0ms (24.3% of total)ival-neg: 1.0ms (24.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3399023056496228e-30 | 4.0703710381441085e-24 |
| 8.0ms | -3.8161898217229785e-31 | -6.133490741262209e-33 |
| 5.0ms | 128× | 0 | valid |
Compiled 77 to 75 computations (2.6% saved)
ival-sub: 1.0ms (35.3% of total)ival-div: 1.0ms (35.3% of total)ival-add: 1.0ms (35.3% of total)ival-neg: 1.0ms (35.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | if-if-or-not_binary32 |
| 6× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 81 |
| 1 | 61 | 81 |
| 2 | 70 | 81 |
| 3 | 76 | 81 |
| 4 | 80 | 81 |
| 5 | 81 | 81 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(if (<=.f64 n #s(literal -4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6422614617176819/356811923176489970264571492362373784095686656 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))) |
(if (<=.f64 n #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6620533730813779/696898287454081973172991196020261297061888 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6550843902068371/1393796574908163946345982392040522594123776 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal -2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(if (<=.f64 n #s(literal -4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6422614617176819/356811923176489970264571492362373784095686656 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))) |
(if (<=.f64 n #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6620533730813779/696898287454081973172991196020261297061888 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6550843902068371/1393796574908163946345982392040522594123776 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))) |
(if (<=.f64 n #s(literal -2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
| 14 778× | accelerator-lowering-fma.f32 |
| 14 778× | accelerator-lowering-fma.f64 |
| 9 982× | accelerator-lowering-fma.f32 |
| 9 982× | accelerator-lowering-fma.f64 |
| 5 814× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 1 | 94 | 44 |
| 2 | 740 | 43 |
| 0 | 8894 | 42 |
| 0 | 243 | 1322 |
| 1 | 739 | 1298 |
| 2 | 2212 | 1129 |
| 3 | 6304 | 1129 |
| 0 | 8202 | 1060 |
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5181 | 459 |
| 0 | 8659 | 432 |
| 0 | 13 | 40 |
| 1 | 84 | 40 |
| 2 | 952 | 38 |
| 0 | 8646 | 38 |
| 0 | 16 | 63 |
| 1 | 118 | 57 |
| 2 | 1138 | 57 |
| 0 | 8366 | 56 |
| 0 | 6 | 18 |
| 1 | 42 | 18 |
| 2 | 323 | 17 |
| 0 | 5527 | 17 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 205 to 116 computations (43.4% saved)
Compiled 194 to 90 computations (53.6% saved)
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