
Time bar (total: 8.9s)
| 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)
| 372.0ms | 8 256× | 0 | valid |
ival-div: 59.0ms (29.9% of total)ival-add: 48.0ms (24.3% of total)ival-sub: 44.0ms (22.3% of total)ival-neg: 38.0ms (19.3% of total)ival-true: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% 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 |
| 24.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-div: 4.0ms (33.7% of total)ival-sub: 3.0ms (25.3% of total)ival-add: 3.0ms (25.3% of total)ival-neg: 2.0ms (16.9% 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 | 128 | (/.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)) |
| 12.0ms | 256× | 0 | valid |
Compiled 22 to 8 computations (63.6% saved)
ival-div: 2.0ms (34.4% of total)ival-sub: 1.0ms (17.2% of total)ival-add: 1.0ms (17.2% of total)ival-neg: 1.0ms (17.2% 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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 f f) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 f n) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(+.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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 f f) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(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 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 f n) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n)))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.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 (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) |
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) |
(*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (+.f64 f n)))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 (-.f64 #s(literal 0 binary64) f) n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))) |
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n)) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n)) |
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (+.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (-.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f n)))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) n) #s(literal -2 binary64)))) n)) n)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.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)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 n n)) f))) f)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.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)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 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))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) n) #s(literal -2 binary64)))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f n)))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) 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 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 16 747 to 1 669 computations (90% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 657 | 11 | 668 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 658 | 11 | 669 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| 99.9% | (/.f64 (+.f64 f n) (-.f64 n f)) | |
| ▶ | 49.7% | (/.f64 (neg.f64 (+.f64 f n)) f) |
| 51.1% | (/.f64 (neg.f64 n) (-.f64 f n)) | |
| ▶ | 49.8% | (/.f64 (neg.f64 f) (-.f64 f n)) |
| 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) | |
| ▶ | 50.2% | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| 51.5% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) | |
| 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) | |
| 50.0% | #s(literal 1 binary64) | |
| ▶ | 48.7% | #s(literal -1 binary64) |
Compiled 184 to 124 computations (32.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) n) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) n) f) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| ✓ | cost-diff | -64 | (neg.f64 (+.f64 f n)) |
| ✓ | cost-diff | 0 | (+.f64 f n) |
| ✓ | cost-diff | 128 | (/.f64 (neg.f64 (+.f64 f n)) f) |
| ✓ | cost-diff | -64 | (neg.f64 f) |
| ✓ | cost-diff | 0 | (-.f64 f n) |
| ✓ | cost-diff | 128 | (/.f64 (neg.f64 f) (-.f64 f n)) |
| ✓ | cost-diff | 0 | (/.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 | 256 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| 800× | accelerator-lowering-fma.f32 |
| 800× | accelerator-lowering-fma.f64 |
| 524× | times-frac |
| 512× | *-lowering-*.f32 |
| 512× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 1 | 42 | 76 |
| 2 | 111 | 73 |
| 3 | 261 | 72 |
| 4 | 506 | 72 |
| 5 | 1123 | 72 |
| 6 | 1696 | 72 |
| 7 | 1823 | 72 |
| 8 | 1866 | 72 |
| 9 | 1883 | 72 |
| 10 | 1895 | 72 |
| 0 | 1895 | 71 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (/ 1 (- n f)) (/ 1 (+ f n))) |
(/ 1 (- n f)) |
1 |
(- n f) |
n |
f |
(/ 1 (+ f n)) |
(+ f n) |
-1 |
(/ (neg f) (- f n)) |
(neg f) |
f |
(- f n) |
n |
(/ (neg (+ f n)) f) |
(neg (+ f n)) |
(+ f n) |
f |
n |
(- -1 (/ (* 2 n) f)) |
-1 |
(/ (* 2 n) f) |
(* 2 n) |
2 |
n |
f |
| Outputs |
|---|
(/ (/ 1 (- n f)) (/ 1 (+ 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 (+ f n)) |
(/.f64 #s(literal 1 binary64) (+.f64 n f)) |
(+ f n) |
(+.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 n f) |
f |
n |
(- -1 (/ (* 2 n) f)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64))) |
-1 |
#s(literal -1 binary64) |
(/ (* 2 n) f) |
(*.f64 #s(literal 2 binary64) (/.f64 n f)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
n |
f |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 2 binary64) n) f) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) n) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) 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 f n) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 f n)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| 36.0ms | 256× | 0 | valid |
Compiled 80 to 20 computations (75% saved)
ival-div: 10.0ms (49.4% of total)ival-sub: 4.0ms (19.7% of total)ival-mult: 2.0ms (9.9% of total)ival-neg: 2.0ms (9.9% of total)ival-add: 1.0ms (4.9% 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)) (/ 1 (+ f n)))> |
#<alt (/ 1 (- n f))> |
#<alt (- n f)> |
#<alt (/ 1 (+ f n))> |
#<alt (/ (neg f) (- f n))> |
#<alt (- f n)> |
#<alt (neg f)> |
#<alt (/ (neg (+ f n)) f)> |
#<alt (+ f n)> |
#<alt (neg (+ f n))> |
#<alt (- -1 (/ (* 2 n) f))> |
#<alt (/ (* 2 n) f)> |
#<alt (* 2 n)> |
| 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 (+ (/ 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 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 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 n)> |
#<alt (+ (* -1 (/ f (pow n 2))) (/ 1 n))> |
#<alt (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n))> |
#<alt (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))> |
#<alt (/ 1 f)> |
#<alt (/ (+ 1 (* -1 (/ n f))) f)> |
#<alt (/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f)> |
#<alt (/ 1 f)> |
#<alt (* -1 (/ (- (/ n f) 1) f))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f))> |
#<alt (/ 1 f)> |
#<alt (+ (* -1 (/ n (pow f 2))) (/ 1 f))> |
#<alt (+ (* n (- (/ 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 (* -1 (/ f n))) n)> |
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n)> |
#<alt (/ 1 n)> |
#<alt (* -1 (/ (- (/ f n) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n))> |
#<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 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 (- (* -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 (/ (- (* -1 f) (* 2 n)) f)> |
#<alt (/ (- (* -1 f) (* 2 n)) f)> |
#<alt (/ (- (* -1 f) (* 2 n)) 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 (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<alt (* 2 (/ n f))> |
#<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)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | f | @ | inf | (- n f) |
| 1.0ms | n | @ | -inf | (/ (neg f) (- f n)) |
| 1.0ms | f | @ | inf | (/ (/ 1 (- n f)) (/ 1 (+ f n))) |
| 0.0ms | n | @ | 0 | (/ 1 (- n f)) |
| 0.0ms | n | @ | inf | (/ (* 2 n) f) |
| 1× | batch-egg-rewrite |
| 6 896× | accelerator-lowering-fma.f32 |
| 6 896× | accelerator-lowering-fma.f64 |
| 5 182× | *-lowering-*.f32 |
| 5 182× | *-lowering-*.f64 |
| 3 130× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 63 |
| 1 | 116 | 59 |
| 2 | 934 | 58 |
| 0 | 9138 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 (- n f)) (/ 1 (+ f n))) |
(/ 1 (- n f)) |
(- n f) |
(/ 1 (+ f n)) |
(/ (neg f) (- f n)) |
(- f n) |
(neg f) |
(/ (neg (+ f n)) f) |
(+ f n) |
(neg (+ f n)) |
(- -1 (/ (* 2 n) f)) |
(/ (* 2 n) f) |
(* 2 n) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (/.f64 f (-.f64 n f))) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)) |
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64)))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64))) |
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64))) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 n f) (-.f64 n f))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64)) (/.f64 f (-.f64 n f))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 f (-.f64 n f))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 n f)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 n f))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))) |
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n))) |
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) |
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(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) f) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
(neg.f64 (/.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 2 binary64) (/.f64 f n))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.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))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))) (/.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 f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) |
(*.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 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 f (*.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(neg.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(neg.f64 (*.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 f (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 f (*.f64 n #s(literal -2 binary64)))) |
(/.f64 #s(literal 2 binary64) (/.f64 f n)) |
(/.f64 (*.f64 n #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(/.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) f) |
(/.f64 (neg.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) f)) |
(pow.f64 (/.f64 f (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))) |
(*.f64 n (/.f64 #s(literal 2 binary64) f)) |
(*.f64 n (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 2 binary64))) |
(*.f64 n (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f))) |
(*.f64 n (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(*.f64 #s(literal 2 binary64) (/.f64 n f)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 n f) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64)) |
(*.f64 (*.f64 n #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) f) (*.f64 n #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) f))) |
(*.f64 (/.f64 n f) #s(literal 2 binary64)) |
(*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) f)) |
(*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64))) |
(*.f64 (/.f64 n (-.f64 #s(literal 0 binary64) f)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) f))) |
(*.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) f)) |
(*.f64 (/.f64 #s(literal 2 binary64) f) n) |
(*.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) f)) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) f)) |
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) f))) |
(*.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 f (*.f64 n #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f (*.f64 n #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) n) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 2 binary64)) n) |
(-.f64 #s(literal 0 binary64) (*.f64 n #s(literal -2 binary64))) |
(neg.f64 (*.f64 n #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) |
(*.f64 n #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 n #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) n) |
(*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -2 binary64)) |
(*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) n)) |
| 1× | egg-herbie |
| 10 346× | accelerator-lowering-fma.f32 |
| 10 346× | accelerator-lowering-fma.f64 |
| 3 438× | *-lowering-*.f32 |
| 3 438× | *-lowering-*.f64 |
| 3 052× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 2227 |
| 1 | 1168 | 2100 |
| 2 | 3253 | 1915 |
| 0 | 8281 | 1803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(/ -1 f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/ 1 n) |
(/ (+ 1 (/ f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/ 1 n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/ 1 n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ -1 f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/ -1 f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(/ 1 n) |
(+ (* -1 (/ f (pow n 2))) (/ 1 n)) |
(+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)) |
(+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ 1 f) |
(/ (+ 1 (* -1 (/ n f))) f) |
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f) |
(/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f) |
(/ 1 f) |
(* -1 (/ (- (/ n f) 1) f)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f)) |
(/ 1 f) |
(+ (* -1 (/ n (pow f 2))) (/ 1 f)) |
(+ (* n (- (/ 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 (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n) |
(/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n) |
(/ 1 n) |
(* -1 (/ (- (/ f n) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n)) |
(/ 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)))) |
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) |
(- (* -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)) |
(/ (- (* -1 f) (* 2 n)) f) |
(/ (- (* -1 f) (* 2 n)) f) |
(/ (- (* -1 f) (* 2 n)) f) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(- (* -2 (/ n f)) 1) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 (/ n f)) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
(* 2 n) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64)))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -2 binary64)) f) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64)))) 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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n n) (-.f64 #s(literal 0 binary64) (pow.f64 f #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) f) f)))) (/.f64 #s(literal -1 binary64) f)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) 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 n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 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)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (/.f64 (*.f64 f f) (*.f64 n (*.f64 n n)))) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) 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 (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
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 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (/ n f) 1)) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (/ n f) 1)) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* -1 (/ f (pow n 2))) (/ 1 n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n) |
(+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(+.f64 (*.f64 f (*.f64 f (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) |
(/ 1 f) |
(/.f64 #s(literal 1 binary64) f) |
(/ (+ 1 (* -1 (/ n f))) f) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f) |
(/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) f)) n) f)) f) |
(/ 1 f) |
(/.f64 #s(literal 1 binary64) f) |
(* -1 (/ (- (/ n f) 1) f)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) f)) n) f)) f) |
(/ 1 f) |
(/.f64 #s(literal 1 binary64) f) |
(+ (* -1 (/ n (pow f 2))) (/ 1 f)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f) |
(+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(+.f64 (*.f64 n (*.f64 n (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (* -1 (/ f n))) n) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n) |
(/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (*.f64 (/.f64 (*.f64 f f) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) n))) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(* -1 (/ (- (/ f n) 1) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (*.f64 (/.f64 (*.f64 f f) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) n))) n) |
(/ f n) |
(/.f64 f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) n) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))))) |
-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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) |
(/ f n) |
(/.f64 f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n) |
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) n) |
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n) |
(/.f64 (+.f64 f (+.f64 (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.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 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 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 (+.f64 (*.f64 f f) (/.f64 (+.f64 (*.f64 f (*.f64 f f)) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
f |
(* -1 (* f (- (/ n f) 1))) |
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
(* -1 (* f (- (/ n f) 1))) |
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
(* -1 (* f (- (/ n f) 1))) |
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f))) |
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 n (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* n (- (/ f n) 1)) |
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* n (- (/ f n) 1)) |
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 n (+.f64 #s(literal -1 binary64) (/.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 #s(literal 0 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 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 #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)) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
n |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(- (* -1 f) n) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* f (- (* -1 (/ n f)) 1)) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (* -1 (/ n f)) 1)) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (* -1 (/ n f)) 1)) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (/ n f)))) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (/ n f)))) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (/ n f)))) |
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(- (* -1 n) f) |
(-.f64 (-.f64 #s(literal 0 binary64) f) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* n (- (* -1 (/ f n)) 1)) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* n (- (* -1 (/ f n)) 1)) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* n (- (* -1 (/ f n)) 1)) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 (* n (+ 1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* -2 (/ n f)) |
(*.f64 #s(literal -2 binary64) (/.f64 n f)) |
(/ (- (* -1 f) (* 2 n)) f) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(/ (- (* -1 f) (* 2 n)) f) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(/ (- (* -1 f) (* 2 n)) f) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 (/ n f)) |
(/.f64 (*.f64 n #s(literal 2 binary64)) f) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
(* 2 n) |
(*.f64 n #s(literal 2 binary64)) |
Compiled 36 384 to 3 456 computations (90.5% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 743 | 6 | 1 749 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 749 | 11 | 1 760 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| 99.9% | (/.f64 (+.f64 n f) (-.f64 n f)) | |
| 51.1% | (/.f64 (neg.f64 n) (-.f64 f n)) | |
| ▶ | 49.8% | (/.f64 f (-.f64 n f)) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 50.2% | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| 49.7% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) | |
| ▶ | 51.5% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| ▶ | 50.0% | #s(literal 1 binary64) |
| ✓ | 48.7% | #s(literal -1 binary64) |
Compiled 155 to 104 computations (32.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 n f) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| ✓ | cost-diff | 0 | (*.f64 f #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 f #s(literal 2 binary64)) n) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 f (-.f64 n f)) |
| ✓ | cost-diff | 0 | (+.f64 n f) |
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 n f) (+.f64 n f)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| 736× | accelerator-lowering-fma.f32 |
| 736× | accelerator-lowering-fma.f64 |
| 480× | *-lowering-*.f32 |
| 480× | *-lowering-*.f64 |
| 336× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 1 | 35 | 74 |
| 2 | 62 | 74 |
| 3 | 103 | 74 |
| 4 | 203 | 74 |
| 5 | 356 | 74 |
| 6 | 530 | 74 |
| 7 | 768 | 74 |
| 8 | 1136 | 74 |
| 9 | 1313 | 74 |
| 10 | 1356 | 74 |
| 11 | 1395 | 74 |
| 12 | 1404 | 74 |
| 0 | 1404 | 73 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (/ (- n f) (+ n f))) |
1 |
(/ (- n f) (+ n f)) |
(- n f) |
n |
f |
(+ n f) |
1 |
(/ f (- n f)) |
f |
(- n f) |
n |
(+ 1 (/ (* f 2) n)) |
1 |
(/ (* f 2) n) |
(* f 2) |
f |
2 |
n |
(* (/ 1 (- n f)) (+ n f)) |
(/ 1 (- n f)) |
1 |
(- n f) |
n |
f |
(+ n f) |
| Outputs |
|---|
(/ 1 (/ (- n f) (+ n f))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
1 |
#s(literal 1 binary64) |
(/ (- n f) (+ n f)) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(- n f) |
(-.f64 n f) |
n |
f |
(+ n f) |
(+.f64 n f) |
1 |
#s(literal 1 binary64) |
(/ f (- n f)) |
(/.f64 f (-.f64 n f)) |
f |
(- n f) |
(-.f64 n f) |
n |
(+ 1 (/ (* f 2) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
1 |
#s(literal 1 binary64) |
(/ (* f 2) n) |
(/.f64 (*.f64 f #s(literal 2 binary64)) n) |
(* f 2) |
(*.f64 f #s(literal 2 binary64)) |
f |
2 |
#s(literal 2 binary64) |
n |
(* (/ 1 (- n f)) (+ n f)) |
(/.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 |
(+ n f) |
(+.f64 n f) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (+.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 n f)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 f #s(literal 2 binary64)) n) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| ✓ | accuracy | 100.0% | (*.f64 f #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 f (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (+.f64 n f) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 n f) (+.f64 n f)) |
| 29.0ms | 256× | 0 | valid |
Compiled 80 to 16 computations (80% saved)
ival-div: 10.0ms (57.6% of total)ival-mult: 3.0ms (17.3% of total)ival-sub: 2.0ms (11.5% of total)ival-add: 2.0ms (11.5% 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) (+ n f)))> |
#<alt (/ (- n f) (+ n f))> |
#<alt (- n f)> |
#<alt (+ n f)> |
#<alt (/ f (- n f))> |
#<alt (+ 1 (/ (* f 2) n))> |
#<alt (/ (* f 2) n)> |
#<alt (* f 2)> |
#<alt (* (/ 1 (- n f)) (+ n f))> |
#<alt (/ 1 (- 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 (+ (/ 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 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 (* -1 (/ f n))) (/ f n))> |
#<alt (- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))> |
#<alt (- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ f n))) (/ f n))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) 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 (- (/ n f) (+ 1 (* -1 (/ n f))))> |
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))> |
#<alt (- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 n) n) f)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 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> |
#<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 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 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> |
#<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 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 (/ f n))> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<alt (* 2 f)> |
#<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 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 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))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | f | @ | 0 | (+ 1 (/ (* f 2) n)) |
| 1.0ms | f | @ | 0 | (/ (- n f) (+ n f)) |
| 0.0ms | n | @ | 0 | (+ 1 (/ (* f 2) n)) |
| 0.0ms | f | @ | -inf | (/ (* f 2) n) |
| 0.0ms | f | @ | inf | (/ (* f 2) n) |
| 1× | batch-egg-rewrite |
| 5 364× | accelerator-lowering-fma.f32 |
| 5 364× | accelerator-lowering-fma.f64 |
| 4 956× | *-lowering-*.f32 |
| 4 956× | *-lowering-*.f64 |
| 3 660× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 56 |
| 1 | 94 | 52 |
| 2 | 771 | 52 |
| 0 | 8984 | 51 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (- n f) (+ n f))) |
(/ (- n f) (+ n f)) |
(- n f) |
(+ n f) |
(/ f (- n f)) |
(+ 1 (/ (* f 2) n)) |
(/ (* f 2) n) |
(* f 2) |
(* (/ 1 (- n f)) (+ n f)) |
(/ 1 (- 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 n n) (-.f64 n f)) (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.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 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f)))) |
(+.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n))) |
(+.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n f))) |
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
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(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) (+.f64 n f))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (/.f64 (+.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f)))) (/.f64 (+.f64 n f) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f)))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) (-.f64 n f))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
(*.f64 (*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64)) (+.f64 n f)) |
(+.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))) |
(+.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) f)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) n)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n f))) |
(+.f64 (*.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (*.f64 f (/.f64 f (-.f64 n f))) (-.f64 (*.f64 n n) (*.f64 f f)))) |
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f)))) |
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))) |
(fma.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(fma.f64 (*.f64 f (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(fma.f64 (+.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) f)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n f))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f))) |
(/.f64 #s(literal -1 binary64) (-.f64 f n)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 (*.f64 f f) (*.f64 n n))) |
(/.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 n f)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
(pow.f64 (-.f64 n f) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 n f))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (-.f64 n f) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f))) |
(*.f64 (+.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (/.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 n f)) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (-.f64 n f))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (+.f64 n f)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
| 1× | egg-herbie |
| 13 754× | accelerator-lowering-fma.f32 |
| 13 754× | accelerator-lowering-fma.f64 |
| 3 646× | *-lowering-*.f32 |
| 3 646× | *-lowering-*.f64 |
| 3 338× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 2269 |
| 1 | 1188 | 2010 |
| 2 | 3383 | 1823 |
| 0 | 8237 | 1665 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
-1 |
(- (* 2 (/ n f)) 1) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2)))) |
1 |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n))) |
1 |
(+ 1 (* -2 (/ f n))) |
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
-1 |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1) |
(* -1 f) |
(- n f) |
(- n f) |
(- n f) |
n |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
(* n (+ 1 (* -1 (/ f n)))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(* -1 (* n (- (/ f n) 1))) |
n |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(+ n (* -1 f)) |
(* -1 f) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* f (- (/ n f) 1)) |
(* -1 f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(/ 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 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(* 2 (/ f n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(* 2 (/ f n)) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
(/ (+ n (* 2 f)) n) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* 2 (/ f n))) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 (/ f n)) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
(* 2 f) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(/ -1 f) |
(- (* -1 (/ n (pow f 2))) (/ 1 f)) |
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(/ 1 n) |
(/ (+ 1 (/ f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/ 1 n) |
(* -1 (/ (- (* -1 (/ f n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) |
(/ 1 n) |
(+ (/ 1 n) (/ f (pow n 2))) |
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(/ -1 f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/ -1 f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n f)))) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f) (*.f64 #s(literal -2 binary64) n)) f)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) |
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 (*.f64 n #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 n f) (*.f64 f f)) (/.f64 #s(literal -1 binary64) (*.f64 f f))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(+.f64 #s(literal 1 binary64) (*.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (*.f64 #s(literal -2 binary64) (/.f64 f (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -2 binary64) n)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) f) n) #s(literal 2 binary64)))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n)) |
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) (+.f64 #s(literal -1 binary64) (/.f64 f n))))) |
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (*.f64 #s(literal -2 binary64) (/.f64 f (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -2 binary64) n)))) |
-1 |
#s(literal -1 binary64) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
(+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n #s(literal 2 binary64)))) (*.f64 f (*.f64 f f))) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64)))) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal -2 binary64)))) f)) 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 (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
n |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n))) |
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 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (/ n f) 1)) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* f (- (/ n f) 1)) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 f) |
(-.f64 #s(literal 0 binary64) f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
n |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* n (+ 1 (/ f n))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n))) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* f (+ 1 (/ n f))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64))) |
(/ f n) |
(/.f64 f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(/.f64 (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(*.f64 f (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))))) |
-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 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) 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 (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) 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 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) 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 (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) 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 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))) |
(/ f n) |
(/.f64 f n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n) |
(/.f64 (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) n) |
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n) |
(/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n))) n) |
(/ f n) |
(/.f64 f n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(/.f64 (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) 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 (+.f64 (*.f64 f f) (/.f64 (+.f64 (*.f64 f (*.f64 f f)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(/ (+ n (* 2 f)) n) |
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n) |
(/ (+ n (* 2 f)) n) |
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n) |
(/ (+ n (* 2 f)) n) |
(/.f64 (+.f64 n (*.f64 f #s(literal 2 binary64))) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 (/ f n)) |
(*.f64 f (/.f64 #s(literal 2 binary64) n)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
(* 2 f) |
(*.f64 f #s(literal 2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n f)))) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f))) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f) (*.f64 #s(literal -2 binary64) 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 (*.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) |
(+.f64 (/.f64 #s(literal -1 binary64) f) (*.f64 n (+.f64 (*.f64 n (/.f64 n (-.f64 #s(literal 0 binary64) (pow.f64 f #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ f n)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n) |
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) 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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) 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 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) 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)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 f (/.f64 f (*.f64 n (*.f64 n n))))) |
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(/ (- (* -1 (/ n f)) 1) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))) f) |
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) f)) f) |
(/ -1 f) |
(/.f64 #s(literal -1 binary64) f) |
(* -1 (/ (+ 1 (/ n f)) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))) f) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) f)) f) |
Compiled 43 149 to 3 119 computations (92.8% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 797 | 0 | 1 797 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 797 | 11 | 1 808 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| ▶ | 99.9% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ▶ | 51.1% | (/.f64 (neg.f64 n) (-.f64 f n)) |
| ✓ | 49.8% | (/.f64 f (-.f64 n f)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 50.2% | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| ▶ | 49.7% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ✓ | 51.5% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| ✓ | 50.0% | #s(literal 1 binary64) |
| ✓ | 48.7% | #s(literal -1 binary64) |
Compiled 90 to 61 computations (32.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 n f) |
| ✓ | cost-diff | 0 | (+.f64 n f) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ✓ | cost-diff | -64 | (neg.f64 n) |
| ✓ | cost-diff | 0 | (-.f64 f n) |
| ✓ | cost-diff | 128 | (/.f64 (neg.f64 n) (-.f64 f n)) |
| ✓ | cost-diff | 0 | (/.f64 n f) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| 400× | accelerator-lowering-fma.f32 |
| 400× | accelerator-lowering-fma.f64 |
| 240× | *-lowering-*.f32 |
| 240× | *-lowering-*.f64 |
| 194× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 22 | 39 |
| 2 | 41 | 38 |
| 3 | 73 | 38 |
| 4 | 122 | 38 |
| 5 | 292 | 38 |
| 6 | 580 | 38 |
| 7 | 796 | 38 |
| 8 | 883 | 38 |
| 9 | 915 | 38 |
| 10 | 928 | 38 |
| 0 | 928 | 38 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- -1 (/ n f)) |
-1 |
(/ n f) |
n |
f |
(/ (neg n) (- f n)) |
(neg n) |
n |
(- f n) |
f |
(/ (+ n f) (- n f)) |
(+ n f) |
n |
f |
(- n f) |
| Outputs |
|---|
(- -1 (/ n f)) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
-1 |
#s(literal -1 binary64) |
(/ n f) |
(/.f64 n f) |
n |
f |
(/ (neg n) (- f n)) |
(/.f64 n (-.f64 n f)) |
(neg n) |
(-.f64 #s(literal 0 binary64) n) |
n |
(- f n) |
(-.f64 f n) |
f |
(/ (+ n f) (- n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+ n f) |
(+.f64 n f) |
n |
f |
(- n f) |
(-.f64 n f) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 n f) |
| ✓ | accuracy | 100.0% | (+.f64 n f) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ✓ | accuracy | 100.0% | (-.f64 f n) |
| ✓ | accuracy | 100.0% | (neg.f64 n) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 n) (-.f64 f n)) |
| ✓ | accuracy | 100.0% | (/.f64 n f) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| 32.0ms | 256× | 0 | valid |
Compiled 41 to 13 computations (68.3% saved)
ival-div: 9.0ms (54.2% of total)ival-sub: 5.0ms (30.1% of total)ival-add: 1.0ms (6% of total)ival-neg: 1.0ms (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 (- -1 (/ n f))> |
#<alt (/ n f)> |
#<alt (/ (neg n) (- f n))> |
#<alt (- f n)> |
#<alt (neg n)> |
#<alt (/ (+ n f) (- n f))> |
#<alt (+ n f)> |
#<alt (- n f)> |
| Outputs |
|---|
#<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 (* -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 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)> |
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) 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)> |
#<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 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 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 (+ (/ 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 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 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 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 (* -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)))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (/ n f) |
| 0.0ms | f | @ | inf | (/ (neg n) (- f n)) |
| 0.0ms | f | @ | -inf | (/ (neg n) (- f n)) |
| 0.0ms | n | @ | -inf | (/ (neg n) (- f n)) |
| 0.0ms | f | @ | -inf | (- -1 (/ n f)) |
| 1× | batch-egg-rewrite |
| 5 132× | accelerator-lowering-fma.f32 |
| 5 132× | accelerator-lowering-fma.f64 |
| 4 670× | *-lowering-*.f32 |
| 4 670× | *-lowering-*.f64 |
| 4 190× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 79 | 31 |
| 2 | 662 | 31 |
| 0 | 8746 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- -1 (/ n f)) |
(/ n f) |
(/ (neg n) (- f n)) |
(- f n) |
(neg n) |
(/ (+ n f) (- n f)) |
(+ n f) |
(- n f) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f)))))) |
(fma.f64 n (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) |
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 n f) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) f) (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) f) n #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 f n))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f))))) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (-.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))) (+.f64 #s(literal -1 binary64) (/.f64 n f))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 (/.f64 n (/.f64 f (/.f64 n f))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (*.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (+.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))) (/.f64 f n))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f)))))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (/.f64 f (/.f64 n f))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 n (/.f64 f (/.f64 n f))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f))))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) #s(literal -1 binary64)) (+.f64 (/.f64 n (/.f64 f (/.f64 n f))) (-.f64 #s(literal 1 binary64) (/.f64 n f)))) |
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(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f f) (+.f64 (*.f64 f f) (*.f64 n n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (+.f64 (*.f64 n n) (*.f64 f f))) |
(/.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 f n)) |
(*.f64 (-.f64 f n) #s(literal -1 binary64)) |
(*.f64 (+.f64 n f) (/.f64 (-.f64 n f) (+.f64 n f))) |
(*.f64 (-.f64 n f) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 n f)) |
(*.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) |
(*.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 (-.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) |
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (*.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))) |
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 (-.f64 f n) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))) |
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))) |
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))) |
(*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) n) f))) |
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))) |
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 f n) (-.f64 n f)) (-.f64 f n)) |
(*.f64 (/.f64 (+.f64 n f) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))))) |
(*.f64 (/.f64 (+.f64 n f) (*.f64 (/.f64 (+.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal 1 binary64))) (/.f64 (-.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 n f))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (+.f64 n f))) |
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) |
(*.f64 (neg.f64 (/.f64 (-.f64 f n) (-.f64 n f))) (-.f64 n f)) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (-.f64 n f))) (-.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) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n))))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (+.f64 n f)) (*.f64 (*.f64 n n) (*.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (+.f64 n f)) (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f f))))) |
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n n) (*.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 n f)))) |
| 1× | egg-herbie |
| 10 538× | accelerator-lowering-fma.f32 |
| 10 538× | accelerator-lowering-fma.f64 |
| 2 918× | *-lowering-*.f32 |
| 2 918× | *-lowering-*.f64 |
| 2 258× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1083 |
| 1 | 721 | 1006 |
| 2 | 2089 | 916 |
| 3 | 6550 | 908 |
| 0 | 8340 | 866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-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) |
(* -1 (/ n f)) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
1 |
(+ 1 (/ f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
1 |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f) |
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f) |
(* -1 (/ n f)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(* -1 n) |
(- 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 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
(* -1 n) |
-1 |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
1 |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
f |
(+ f n) |
(+ f n) |
(+ f n) |
n |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (/ f n))) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
n |
(+ f n) |
(+ f n) |
(+ f n) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (/ n f))) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -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))))) |
| Outputs |
|---|
-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) |
(* -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 (*.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 n (+.f64 (*.f64 n (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))))) (/.f64 #s(literal -1 binary64) f))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ f n)) |
(+.f64 #s(literal 1 binary64) (/.f64 f n)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) 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))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) 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 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f))) n) f) |
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) f) (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))))) f)) 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 (-.f64 (*.f64 (/.f64 (*.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f))) n) f) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) f) (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))))) f)) f) |
(* -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 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
(* -1 n) |
(-.f64 #s(literal 0 binary64) n) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ n f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 f f)) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))))) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(+.f64 (/.f64 (*.f64 n (/.f64 (*.f64 n (*.f64 n #s(literal -2 binary64))) f)) (*.f64 f f)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64)))) f)) f)) |
f |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
n |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
n |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
n |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
(+ f n) |
(+.f64 n f) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
f |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 f) |
(-.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) |
Compiled 24 987 to 2 223 computations (91.1% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 063 | 2 | 1 065 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 8 | 8 |
| Total | 1 064 | 12 | 1 076 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| ✓ | 99.9% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| 51.0% | (/.f64 (+.f64 n f) n) | |
| 51.1% | (/.f64 n (-.f64 n f)) | |
| ✓ | 49.8% | (/.f64 f (-.f64 n f)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 50.2% | (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| ✓ | 49.7% | (-.f64 #s(literal -1 binary64) (/.f64 n f)) |
| ✓ | 51.5% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| ✓ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| ✓ | 50.0% | #s(literal 1 binary64) |
| ✓ | 48.7% | #s(literal -1 binary64) |
Compiled 228 to 105 computations (53.9% 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 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
3 calls:
| 8.0ms | n |
| 6.0ms | f |
| 5.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | f |
| 100.0% | 1 | n |
| 100.0% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(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 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
3 calls:
| 20.0ms | f |
| 6.0ms | n |
| 5.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | f |
| 100.0% | 1 | n |
| 100.0% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(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 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f)) |
| Outputs |
|---|
(/.f64 (+.f64 f n) (-.f64 n f)) |
3 calls:
| 6.0ms | 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 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
| Outputs |
|---|
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) |
2 calls:
| 4.0ms | f |
| 4.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | f |
| 75.3% | 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)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)) |
| Outputs |
|---|
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) |
(/.f64 f (-.f64 n f)) |
1 calls:
| 4.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | f |
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)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
| Outputs |
|---|
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) f) |
1 calls:
| 5.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | f |
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)) |
(/.f64 f (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(/.f64 (+.f64 n f) n) |
(/.f64 (neg.f64 f) (-.f64 f n)) |
(/.f64 (neg.f64 n) (-.f64 f n)) |
| Outputs |
|---|
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(/.f64 n (-.f64 n f)) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
1 calls:
| 3.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | f |
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)) |
(/.f64 f (-.f64 n f)) |
| Outputs |
|---|
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
1 calls:
| 2.0ms | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 3 | f |
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 | f |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | f |
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 | f |
| 1.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 1 | n |
| 48.7% | 1 | f |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.516517200793548e-22 | 1.221215846055305e-16 |
| 15.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 17.0ms | 272× | 0 | valid |
Compiled 353 to 283 computations (19.8% saved)
ival-add: 7.0ms (63.1% of total)ival-div: 2.0ms (18% of total)ival-sub: 1.0ms (9% of total)ival-neg: 1.0ms (9% 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 |
|---|---|---|
| 11.0ms | 2.3168625668730125e+39 | 4.0629496010000907e+42 |
| 9.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 11.0ms | 256× | 0 | valid |
Compiled 301 to 227 computations (24.6% saved)
ival-div: 2.0ms (35% of total)ival-sub: 1.0ms (17.5% of total)ival-add: 1.0ms (17.5% of total)ival-neg: 1.0ms (17.5% 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 |
|---|---|---|
| 44.0ms | 5.516517200793548e-22 | 1.221215846055305e-16 |
| 11.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 13.0ms | 272× | 0 | valid |
Compiled 294 to 198 computations (32.7% saved)
ival-div: 3.0ms (39.5% of total)ival-sub: 1.0ms (13.2% of total)ival-add: 1.0ms (13.2% of total)ival-neg: 1.0ms (13.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 5.516517200793548e-22 | 1.221215846055305e-16 |
| 9.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 44.0ms | 272× | 0 | valid |
Compiled 285 to 198 computations (30.5% saved)
ival-div: 34.0ms (88.3% of total)ival-add: 2.0ms (5.2% of total)ival-sub: 1.0ms (2.6% of total)ival-neg: 1.0ms (2.6% 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 | 5.516517200793548e-22 | 1.221215846055305e-16 |
| 10.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 13.0ms | 272× | 0 | valid |
Compiled 217 to 181 computations (16.6% saved)
ival-div: 2.0ms (32.3% of total)ival-add: 2.0ms (32.3% of total)ival-sub: 1.0ms (16.1% of total)ival-neg: 1.0ms (16.1% 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 | 5.516517200793548e-22 | 1.221215846055305e-16 |
| 11.0ms | -1.0754011858855979e-96 | -4.3900040180977656e-100 |
| 7.0ms | 144× | 0 | valid |
Compiled 85 to 83 computations (2.4% saved)
ival-neg: 2.0ms (44.4% of total)ival-sub: 1.0ms (22.2% of total)ival-div: 1.0ms (22.2% of total)ival-add: 1.0ms (22.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 20× | *-commutative_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 145 |
| 1 | 86 | 145 |
| 2 | 109 | 145 |
| 3 | 128 | 145 |
| 4 | 137 | 145 |
| 5 | 140 | 145 |
| 6 | 141 | 145 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 640000000000000019442305819328234681008128 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f)))) |
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 (+.f64 f n)) f))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4361529361169255/41538374868278621028243970633760768 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/41538374868278621028243970633760768 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)))) |
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 640000000000000019442305819328234681008128 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f)))) |
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 (+.f64 f n)) f))) |
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 n f)) f))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4361529361169255/41538374868278621028243970633760768 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/41538374868278621028243970633760768 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f)))) |
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5316911983139663/5316911983139663491615228241121378304 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 |
| 10 346× | accelerator-lowering-fma.f32 |
| 10 346× | accelerator-lowering-fma.f64 |
| 6 896× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 79 | 31 |
| 2 | 662 | 31 |
| 0 | 8746 | 31 |
| 0 | 6 | 18 |
| 1 | 42 | 18 |
| 2 | 323 | 17 |
| 0 | 5527 | 17 |
| 0 | 18 | 63 |
| 1 | 116 | 59 |
| 2 | 934 | 58 |
| 0 | 9138 | 57 |
| 0 | 374 | 2227 |
| 1 | 1168 | 2100 |
| 2 | 3253 | 1915 |
| 0 | 8281 | 1803 |
| 0 | 145 | 539 |
| 1 | 448 | 504 |
| 2 | 1334 | 469 |
| 3 | 5181 | 459 |
| 0 | 8659 | 432 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 336 to 175 computations (47.9% saved)
Compiled 344 to 124 computations (64% saved)
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