
Time bar (total: 4.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 420.0ms | 8 256× | 0 | valid |
ival-div: 68.0ms (32% of total)ival-add: 52.0ms (24.5% of total)ival-sub: 44.0ms (20.7% of total)ival-neg: 40.0ms (18.8% of total)ival-true: 6.0ms (2.8% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (neg.f64 (+.f64 f n)) |
| 0 | 0 | - | 0 | - | (+.f64 f n) |
| 0 | 0 | - | 0 | - | (-.f64 f n) |
| 0 | 0 | - | 0 | - | f |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 512× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-add: 16.0ms (64.9% of total)ival-sub: 3.0ms (12.2% of total)ival-div: 3.0ms (12.2% of total)ival-neg: 2.0ms (8.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 61 | 35 |
| 2 | 172 | 35 |
| 3 | 455 | 35 |
| 4 | 1215 | 35 |
| 5 | 1487 | 35 |
| 6 | 1544 | 35 |
| 7 | 1612 | 35 |
| 8 | 1669 | 35 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 21 | 8 |
| 2 | 41 | 8 |
| 3 | 78 | 7 |
| 4 | 165 | 7 |
| 5 | 312 | 7 |
| 6 | 613 | 7 |
| 7 | 739 | 7 |
| 8 | 771 | 7 |
| 9 | 787 | 7 |
| 10 | 788 | 7 |
| 0 | 788 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (+.f64 f n) | |
| cost-diff | 0 | (neg.f64 (+.f64 f n)) | |
| cost-diff | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 21 | 20 |
| 2 | 41 | 20 |
| 3 | 78 | 19 |
| 4 | 165 | 19 |
| 5 | 312 | 19 |
| 6 | 613 | 19 |
| 7 | 739 | 19 |
| 8 | 771 | 19 |
| 9 | 787 | 19 |
| 10 | 788 | 19 |
| 0 | 788 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
f |
n |
(-.f64 f n) |
| Outputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(neg.f64 (+.f64 f n)) |
(neg.f64 (+.f64 n f)) |
(+.f64 f n) |
(+.f64 n f) |
f |
n |
(-.f64 f n) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 f n) | |
| accuracy | 0.0 | (+.f64 f n) | |
| accuracy | 0.0 | (neg.f64 (+.f64 f n)) | |
| accuracy | 0.02734375 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| 12.0ms | 256× | 0 | valid |
Compiled 42 to 14 computations (66.7% saved)
ival-div: 2.0ms (35.5% of total)ival-sub: 1.0ms (17.8% of total)ival-add: 1.0ms (17.8% of total)ival-neg: 1.0ms (17.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
(-.f64 f n) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(* -1 n) |
(- (* -1 f) n) |
n |
(+ f n) |
(- f n) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (+ 1 (/ f n))) |
(* n (- (/ f n) 1)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | f | @ | inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | n | @ | inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | f | @ | -inf | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | f | @ | 0 | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1.0ms | n | @ | 0 | ((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 384 |
| 1 | 448 | 349 |
| 2 | 1348 | 314 |
| 3 | 5264 | 304 |
| 0 | 8383 | 278 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(* -1 n) |
(- (* -1 f) n) |
n |
(+ f n) |
(- f n) |
-1 |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(* -1 f) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (/ n f))) |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(* -1 (* f (- (/ n f) 1))) |
(- (* -2 (/ n f)) 1) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (+ 1 (/ f n))) |
(* n (- (/ f n) 1)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 f) n) |
n |
(+ f n) |
(+.f64 n f) |
(- f n) |
(-.f64 f n) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(* -1 f) |
(neg.f64 f) |
(* f (- (* -1 (/ n f)) 1)) |
(-.f64 (neg.f64 f) n) |
f |
(* f (+ 1 (/ n f))) |
(+.f64 n f) |
(* f (+ 1 (* -1 (/ n f)))) |
(-.f64 f n) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64)) |
(* -1 (* f (+ 1 (/ n f)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(+.f64 n f) |
(* -1 (* f (- (/ n f) 1))) |
(-.f64 f n) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(- (* -1 n) f) |
(-.f64 (neg.f64 f) n) |
(+ f (* -1 n)) |
(-.f64 f n) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* n (- (* -1 (/ f n)) 1)) |
(-.f64 (neg.f64 f) n) |
(* n (+ 1 (/ f n))) |
(+.f64 n f) |
(* n (- (/ f n) 1)) |
(-.f64 f n) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* -1 (* n (+ 1 (/ f n)))) |
(-.f64 (neg.f64 f) n) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(+.f64 n f) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(-.f64 f n) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 46 | 18 |
| 2 | 327 | 17 |
| 0 | 5547 | 17 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(neg.f64 (+.f64 f n)) |
(+.f64 f n) |
(-.f64 f n) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f))) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f)) |
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f))) |
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) |
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(+.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (*.f64 f #s(literal 1 binary64))) |
(+.f64 (*.f64 f #s(literal 1 binary64)) (*.f64 (neg.f64 n) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f) |
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f))))) |
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))) |
(+.f64 (neg.f64 n) f) |
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n))) |
(+.f64 f (neg.f64 n)) |
Compiled 13 485 to 1 676 computations (87.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 577 | 9 | 586 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 578 | 9 | 587 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| 48.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| ▶ | 53.1% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| 100.0% | (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) | |
| 48.8% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) | |
| ▶ | 52.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
| 47.4% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) | |
| ▶ | 51.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 200 to 146 computations (27% saved)
| 1× | egg-herbie |
Found 15 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 | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) f) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (neg.f64 f) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| cost-diff | 0 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (+.f64 n f) | |
| cost-diff | 0 | (/.f64 (+.f64 n f) (-.f64 n f)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 104 |
| 0 | 33 | 102 |
| 1 | 58 | 102 |
| 2 | 101 | 100 |
| 3 | 177 | 100 |
| 4 | 354 | 100 |
| 5 | 752 | 100 |
| 6 | 1326 | 100 |
| 7 | 1663 | 100 |
| 8 | 1819 | 100 |
| 9 | 1884 | 100 |
| 10 | 1925 | 100 |
| 11 | 1926 | 100 |
| 0 | 1926 | 100 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
n |
f |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
f |
(-.f64 f n) |
n |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) f) |
#s(literal -2 binary64) |
f |
n |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(-.f64 n f) |
n |
f |
(+.f64 n f) |
| Outputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(+.f64 n f) |
(+.f64 f n) |
n |
f |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
f |
(-.f64 f n) |
n |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) f) |
#s(literal -2 binary64) |
f |
n |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
(/.f64 (-.f64 n f) (+.f64 f n)) |
(-.f64 n f) |
n |
f |
(+.f64 n f) |
(+.f64 f n) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 n f) | |
| accuracy | 0.0 | (+.f64 n f) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 n f) (+.f64 n f)) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) f) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) | |
| accuracy | 30.269248051805164 | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) | |
| accuracy | 0.0 | (-.f64 f n) | |
| accuracy | 0.0 | (neg.f64 f) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) | |
| accuracy | 30.134577542752986 | #s(approx (neg (+ f n)) (neg.f64 f)) | |
| accuracy | 30.83098319899245 | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 n f) | |
| accuracy | 0.0 | (+.f64 n f) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 n f) (-.f64 n f)) |
| 36.0ms | 256× | 0 | valid |
Compiled 196 to 42 computations (78.6% saved)
ival-div: 12.0ms (54.6% of total)ival-add: 4.0ms (18.2% of total)ival-sub: 2.0ms (9.1% of total)ival-mult: 2.0ms (9.1% of total)ival-neg: 2.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
(-.f64 f n) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) f) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
n |
(+ f n) |
(+ n (* -1 f)) |
(* -1 n) |
(- (* -1 f) n) |
(* -1 f) |
(- f n) |
(* -2 (/ n f)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ -2 f) |
(+ 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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (- (/ n f) 1)) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -2 (/ n f)) 1) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
(- (* -1 (/ (- (+ 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 f)) 1))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (/ n f) 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) |
(- (* 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) |
(- n f) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(- (* 2 (/ n f)) 1) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (/ f n) 1)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(- (+ 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 (* -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 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | -inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f))) |
| 2.0ms | f | @ | inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f))) |
| 2.0ms | f | @ | 0 | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f))) |
| 1.0ms | n | @ | inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f))) |
| 1.0ms | f | @ | -inf | ((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1028 |
| 1 | 894 | 901 |
| 2 | 2854 | 800 |
| 0 | 8173 | 715 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
n |
(+ f n) |
(+ n (* -1 f)) |
(* -1 n) |
(- (* -1 f) n) |
(* -1 f) |
(- f n) |
(* -2 (/ n f)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/ -2 f) |
(+ 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)))) |
f |
(* f (+ 1 (/ n f))) |
(* f (- (/ n f) 1)) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(* f (- (* -1 (/ n f)) 1)) |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -2 (/ n f)) 1) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
(- (* -1 (/ (- (+ 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 f)) 1))) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (/ n f) 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) |
(- (* 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) |
(- n f) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(- (* 2 (/ n f)) 1) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(* n (+ 1 (/ f n))) |
(* n (+ 1 (* -1 (/ f n)))) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (/ f n) 1)) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(- (+ 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 (* -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 (* n (- (* -1 (/ f n)) 1))) |
(* -1 (* n (- (/ f n) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ 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))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
n |
(+ f n) |
(+.f64 f n) |
(+ n (* -1 f)) |
(-.f64 n f) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(* -1 f) |
(neg.f64 f) |
(- f n) |
(-.f64 f n) |
(* -2 (/ n f)) |
(*.f64 (/.f64 n f) #s(literal -2 binary64)) |
(/ (+ (* -2 n) (* -1 f)) f) |
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f) |
(/ -2 f) |
(/.f64 #s(literal -2 binary64) f) |
(+ 1 (* -2 (/ f n))) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
f |
(* f (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) f f) |
(* f (- (/ n f) 1)) |
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(* f (- (* -1 (/ n f)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(- (* -2 (/ n f)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (/ n f) (+ 1 (* -1 (/ n f)))) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f)))) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2))))) |
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64)))) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64)))) f)) f)) |
(* -1 (* f (- (* -1 (/ n f)) 1))) |
(fma.f64 (/.f64 n f) f f) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64)))) f)) f)) |
(* -1 (* f (+ 1 (/ n f)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (* f (- (/ n f) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(- (* -1 (/ (- (* -1 n) n) f)) 1) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64)))) (neg.f64 f))) f)) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(- n f) |
(-.f64 n f) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(+ f (* -1 n)) |
(-.f64 f n) |
(- (* 2 (/ n f)) 1) |
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64)) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* n (+ 1 (/ f n))) |
(fma.f64 (/.f64 f n) n n) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)) |
(* n (- (* -1 (/ f n)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(* n (- (/ f n) 1)) |
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n) |
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(- (+ 1 (* -1 (/ f n))) (/ f n)) |
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n)) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal -2 binary64)))) n)) n)) |
(* -1 (* n (- (* -1 (/ f n)) 1))) |
(fma.f64 (/.f64 f n) n n) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal -2 binary64)))) n)) n)) |
(* -1 (* n (+ 1 (/ f n)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n))) |
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 86 |
| 0 | 33 | 84 |
| 1 | 135 | 84 |
| 2 | 1000 | 82 |
| 0 | 8748 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(+.f64 n f) |
(-.f64 n f) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 f)) |
(neg.f64 f) |
(-.f64 f n) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) f) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(/.f64 (-.f64 n f) (+.f64 n f)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 f n)) |
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (neg.f64 (+.f64 f n))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (-.f64 f n))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (+.f64 f n) (-.f64 n f))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 f n) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) f (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) (neg.f64 n))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) (+.f64 f n)) (*.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) (+.f64 f n)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n)))) |
(fma.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) (+.f64 f n)) (/.f64 (neg.f64 f) (+.f64 f n))) |
(fma.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (neg.f64 f) (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) n)) |
(fma.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) n (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (neg.f64 f))) |
(fma.f64 (*.f64 f (-.f64 f n)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 n n) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 f f) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 n n) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 f f) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 n (+.f64 f n)) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 n (+.f64 f n)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n)))) |
(fma.f64 (/.f64 n (+.f64 f n)) #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (+.f64 f n)) (*.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (+.f64 f n)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 n (+.f64 f n)) (/.f64 (neg.f64 f) (+.f64 f n))) |
(fma.f64 (neg.f64 f) (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 n (+.f64 f n))) |
(fma.f64 #s(literal -1 binary64) (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))) |
(fma.f64 f (/.f64 #s(literal -1 binary64) (+.f64 f n)) (/.f64 n (+.f64 f n))) |
(fma.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64))) |
(fma.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n)))) |
(fma.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (neg.f64 f) (+.f64 f n))) |
(-.f64 (/.f64 (pow.f64 (/.f64 n (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (+.f64 f n))) (/.f64 (pow.f64 (/.f64 f (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (+.f64 f n)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 n (+.f64 f n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 n (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (/.f64 f (+.f64 f n)) (+.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))))) (/.f64 (pow.f64 (/.f64 f (+.f64 f n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 n (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (/.f64 f (+.f64 f n)) (+.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))))) |
(-.f64 (/.f64 (*.f64 n (+.f64 f n)) (pow.f64 (+.f64 f n) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 f n) f) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 n n) (pow.f64 (+.f64 f n) #s(literal 2 binary64))) (/.f64 (*.f64 f f) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (+.f64 f n)) (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (+.f64 f n))) |
(-.f64 (/.f64 (*.f64 f f) (neg.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)))) (/.f64 (*.f64 n n) (neg.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 (neg.f64 (+.f64 f n)) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 (neg.f64 (+.f64 f n)) (fma.f64 f (+.f64 f n) (*.f64 n n))))) |
(-.f64 (/.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 n) (+.f64 f n)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (+.f64 f n)) (/.f64 (*.f64 f (/.f64 f (+.f64 f n))) (+.f64 f n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 f n))) (/.f64 (-.f64 f n) (+.f64 f n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n))) |
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (neg.f64 (+.f64 f n))) (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (neg.f64 (+.f64 f n)))) |
(-.f64 (/.f64 (*.f64 f (/.f64 f (+.f64 f n))) (neg.f64 (+.f64 f n))) (/.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (neg.f64 (+.f64 f n)))) |
(-.f64 (/.f64 (neg.f64 f) (+.f64 f n)) (/.f64 (neg.f64 n) (+.f64 f n))) |
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 f (-.f64 f n)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n n) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 n n) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 f f) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) (neg.f64 n)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) f)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) f) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) (neg.f64 n))) |
(+.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n))) |
(+.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)) (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n)))) |
(+.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f))) (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f))) |
(+.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (neg.f64 f)) (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) n)) |
(+.f64 (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) (neg.f64 f))) |
(+.f64 (/.f64 (neg.f64 f) (+.f64 f n)) (/.f64 n (+.f64 f n))) |
(+.f64 (/.f64 n (+.f64 f n)) (*.f64 (/.f64 (neg.f64 f) (+.f64 f n)) #s(literal 1 binary64))) |
(+.f64 (/.f64 n (+.f64 f n)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (+.f64 f n)))) |
(+.f64 (/.f64 n (+.f64 f n)) (/.f64 (neg.f64 f) (+.f64 f n))) |
Compiled 31 130 to 3 247 computations (89.6% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 276 | 3 | 1 279 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 279 | 9 | 1 288 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ▶ | 48.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 53.1% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ▶ | 100.0% | (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
| ▶ | 48.8% | #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| ▶ | 47.4% | #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
| ✓ | 52.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
| ✓ | 51.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 97 to 70 computations (27.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 f n) | |
| cost-diff | 0 | (neg.f64 n) | |
| cost-diff | 0 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| cost-diff | 0 | (/.f64 f (-.f64 n f)) | |
| cost-diff | 0 | (-.f64 n f) | |
| cost-diff | 0 | (/.f64 n (-.f64 n f)) | |
| cost-diff | 4 | (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) n) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 88 |
| 0 | 31 | 88 |
| 1 | 48 | 88 |
| 2 | 72 | 88 |
| 3 | 100 | 88 |
| 4 | 169 | 88 |
| 5 | 226 | 84 |
| 6 | 471 | 84 |
| 7 | 1282 | 84 |
| 8 | 1681 | 84 |
| 9 | 1844 | 84 |
| 10 | 1927 | 84 |
| 11 | 1976 | 84 |
| 0 | 1976 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
f |
#s(literal 1 binary64) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(/.f64 n (-.f64 n f)) |
n |
(-.f64 n f) |
f |
(/.f64 f (-.f64 n f)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
| Outputs |
|---|
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
n |
f |
#s(literal 1 binary64) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(/.f64 (+.f64 f n) (-.f64 n f)) |
(/.f64 n (-.f64 n f)) |
n |
(-.f64 n f) |
f |
(/.f64 f (-.f64 n f)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
n |
(-.f64 f n) |
f |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 f n) | |
| accuracy | 0.0 | (neg.f64 n) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) | |
| accuracy | 33.12909208736277 | #s(approx (neg (+ f n)) (neg.f64 n)) | |
| accuracy | 0.0 | (-.f64 n f) | |
| accuracy | 0.0078125 | (/.f64 n (-.f64 n f)) | |
| accuracy | 0.01171875 | (/.f64 f (-.f64 n f)) | |
| accuracy | 0.0390625 | (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) n) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) | |
| accuracy | 32.74485030285662 | #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) | |
| accuracy | 33.66780364888079 | #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
| 50.0ms | 256× | 0 | valid |
Compiled 164 to 41 computations (75% saved)
ival-div: 25.0ms (69% of total)ival-add: 5.0ms (13.8% of total)ival-sub: 2.0ms (5.5% of total)ival-mult: 2.0ms (5.5% of total)ival-neg: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(/.f64 n (-.f64 n f)) |
(-.f64 n f) |
(/.f64 f (-.f64 n f)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
(-.f64 f n) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ f n))) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(+ 1 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
n |
(+ n (* -1 f)) |
(/ f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* -1 n) |
(- (* -1 f) n) |
(- f n) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 f) |
(* f (- (/ n f) 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 (/ (- 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) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -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 (+ (* 2 (/ 1 n)) (/ 1 f))) |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(- (* -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 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (/ 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) |
(/ (+ n (* 2 f)) n) |
(/ 2 n) |
(* 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))) |
(- n f) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(- (+ 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 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(- (+ 1 (/ (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))))) |
(* n (+ 1 (* -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) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (/ f n) 1)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(* -1 (* n (- (/ f n) 1))) |
(* -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 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | n | @ | -inf | ((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n)) |
| 2.0ms | n | @ | inf | ((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n)) |
| 1.0ms | f | @ | inf | ((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n)) |
| 1.0ms | f | @ | -inf | ((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n)) |
| 1.0ms | n | @ | 0 | ((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 1419 |
| 1 | 1314 | 1303 |
| 2 | 3918 | 1136 |
| 0 | 8325 | 1020 |
| 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 (/ f n)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
n |
(+ n (* -1 f)) |
(/ f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(* -1 n) |
(- (* -1 f) n) |
(- f n) |
-1 |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(* 2 (/ f n)) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(* -1 (/ n f)) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(* -1 f) |
(* f (- (/ n f) 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 (/ (- 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) |
(* f (- (* -1 (/ n f)) 1)) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(- (* -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 (+ (* 2 (/ 1 n)) (/ 1 f))) |
(- (* -2 (/ n f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(- (* -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 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(* -1 (* f (+ 1 (/ n f)))) |
(* -1 (* f (- (/ 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) |
(/ (+ n (* 2 f)) n) |
(/ 2 n) |
(* 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))) |
(- n f) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(- (* -1 n) f) |
(+ f (* -1 n)) |
(- (+ 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 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(- (+ 1 (/ (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))))) |
(* n (+ 1 (* -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) |
(+ 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))))) |
(* n (- (* -1 (/ f n)) 1)) |
(* n (- (/ f n) 1)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(* -1 (* n (- (/ f n) 1))) |
(* -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 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(* -1 (* n (+ 1 (/ f n)))) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(+ 1 (/ f n)) |
(+.f64 (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2))))) |
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
n |
(+ n (* -1 f)) |
(-.f64 n f) |
(/ f n) |
(/.f64 f n) |
(* f (+ (/ 1 n) (/ f (pow n 2)))) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))) |
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) |
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) f (/.f64 f (pow.f64 n #s(literal 3 binary64)))) f) f (/.f64 (fma.f64 f (/.f64 f n) f) n)) |
(* -1 n) |
(neg.f64 n) |
(- (* -1 f) n) |
(-.f64 (neg.f64 n) f) |
(- f n) |
(-.f64 f n) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ n f)) (+ 1 (/ n f))) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) |
(fma.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(* 2 (/ f n)) |
(*.f64 (/.f64 #s(literal 2 binary64) n) f) |
(* f (+ (/ 1 f) (* 2 (/ 1 n)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f))) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f)))) |
(fma.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(* -1 (/ n f)) |
(/.f64 (neg.f64 n) f) |
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f) |
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f) |
(/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 f)) |
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64)))) f) |
(* -1 f) |
(neg.f64 f) |
(* f (- (/ n f) 1)) |
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) |
(- (* -1 (/ n f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 n f)) |
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(- (* -1 (/ (- n (* -1 n)) f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1) |
(fma.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(* f (- (* -1 (/ n f)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
f |
(* f (+ 1 (* -1 (/ n f)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
(* f (+ (* 2 (/ 1 n)) (/ 1 f))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (* -2 (/ n f)) 1) |
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
(* -1 (/ (+ n (/ (pow n 2) f)) f)) |
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f)) |
(/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 f)) |
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f)) |
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f)) |
(* -1 (* f (+ 1 (* -1 (/ n f))))) |
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) |
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) |
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64)) |
(* -1 (* f (+ 1 (/ n f)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) |
(* -1 (* f (- (/ n f) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f) |
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)) |
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64)) |
(/ (+ n (* 2 f)) n) |
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n) |
(/ 2 n) |
(/.f64 #s(literal 2 binary64) n) |
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) |
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) |
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n) |
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n) |
(- n f) |
(-.f64 n f) |
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) |
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n #s(literal -1 binary64)) |
(- (* -1 n) f) |
(-.f64 (neg.f64 n) f) |
(+ f (* -1 n)) |
(-.f64 f n) |
(- (+ 1 (/ f n)) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) |
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) |
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(* n (+ 1 (* -1 (/ f n)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(/ (+ f (/ (pow f 2) n)) n) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n) |
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) |
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n) |
(/.f64 (+.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64)))) n) |
(+ 1 (* -1 (/ (- (* -1 f) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(* n (- (* -1 (/ f n)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(* n (- (/ f n) 1)) |
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) |
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64)) |
(* -1 (* n (- (/ f n) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)) |
(/.f64 (fma.f64 f (/.f64 f n) f) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n)) |
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) |
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) n) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n)) |
(* -1 (* n (+ 1 (/ f n)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n) |
(* -1 (* n (+ 1 (* -1 (/ f n))))) |
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 79 |
| 0 | 31 | 79 |
| 1 | 138 | 75 |
| 2 | 1225 | 75 |
| 0 | 8436 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(/.f64 n (-.f64 n f)) |
(-.f64 n f) |
(/.f64 f (-.f64 n f)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(neg.f64 n) |
(-.f64 f n) |
| Outputs |
|---|
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 f #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 f #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) f) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 1 binary64)) |
(fma.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) n)) |
(pow.f64 (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 n)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 n))) |
(/.f64 #s(literal 2 binary64) n) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) n)) |
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(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (neg.f64 (-.f64 n (neg.f64 f)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 f) n)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n (neg.f64 f)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n (neg.f64 f))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 f n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n (neg.f64 f))))) |
(/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 f (+.f64 f n) (*.f64 n n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) f n) |
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (neg.f64 f))) (/.f64 (*.f64 f f) (-.f64 n (neg.f64 f)))) |
(-.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n))) |
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n)))) |
(-.f64 n f) |
(+.f64 (neg.f64 f) n) |
(+.f64 n (neg.f64 f)) |
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) #s(literal 1 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n)) |
(*.f64 (/.f64 f (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 f (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (+.f64 f n) (*.f64 n n))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (pow.f64 f #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) |
(*.f64 (neg.f64 f) (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))) |
(*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 n f) f) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 n f) f) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f))))) |
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (neg.f64 (-.f64 n f))) |
(/.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 (-.f64 n f)))) |
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 n f)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) f) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) f))) |
(/.f64 (neg.f64 f) (neg.f64 (-.f64 n f))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) f)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) f) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) f)) |
(/.f64 f (-.f64 n f)) |
(neg.f64 (/.f64 (neg.f64 f) (-.f64 n f))) |
(neg.f64 (/.f64 f (neg.f64 (-.f64 n f)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 f (neg.f64 (-.f64 n f)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n)) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(approx (neg (+ f n)) (neg.f64 n))) |
(*.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64))) |
(*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(pow.f64 (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64))) (neg.f64 (-.f64 f n))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 f n))))) |
(/.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64)) (-.f64 f n)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (neg.f64 (neg.f64 (-.f64 f n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))))) |
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (neg.f64 (-.f64 f n))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (-.f64 f n))) |
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 f n))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))) #s(literal -1 binary64))) |
#s(approx (neg (+ f n)) (neg.f64 n)) |
(*.f64 #s(literal -1 binary64) n) |
(*.f64 n #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) (neg.f64 n))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n))) (neg.f64 (+.f64 #s(literal 0 binary64) n))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n)) (+.f64 #s(literal 0 binary64) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) |
(neg.f64 n) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n n) (+.f64 #s(literal 0 binary64) n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))))) |
(-.f64 #s(literal 0 binary64) n) |
(+.f64 #s(literal 0 binary64) (neg.f64 n)) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 f n) (+.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n)))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (+.f64 f n))) |
(*.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (-.f64 f n) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (-.f64 f n) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f))) (-.f64 n f)) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (-.f64 n f) n (*.f64 f f))) |
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n))) |
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 f n)) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (-.f64 f n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 f #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (+.f64 f #s(literal 0 binary64)) (+.f64 f #s(literal 0 binary64)) (fma.f64 n n (*.f64 (+.f64 f #s(literal 0 binary64)) n)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)) (fma.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 (neg.f64 n) f)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (-.f64 (neg.f64 f) n))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 (neg.f64 f) n)) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f (neg.f64 n))) |
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n))))) |
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (*.f64 n (+.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) n f) |
(fma.f64 n #s(literal -1 binary64) f) |
(-.f64 (/.f64 (*.f64 f f) (-.f64 f (neg.f64 n))) (/.f64 (*.f64 n n) (-.f64 f (neg.f64 n)))) |
(-.f64 (+.f64 f #s(literal 0 binary64)) n) |
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n))))) |
(-.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))) |
(-.f64 f n) |
(+.f64 (neg.f64 n) f) |
(+.f64 f (neg.f64 n)) |
Compiled 18 563 to 2 086 computations (88.8% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 0 | 746 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 746 | 9 | 755 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 n f) (-.f64 n f)) |
| ✓ | 48.4% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| ✓ | 53.1% | (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
| ✓ | 100.0% | (+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
| ✓ | 48.8% | #s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| ✓ | 47.4% | #s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
| ✓ | 52.7% | #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
| ✓ | 51.8% | #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Compiled 239 to 114 computations (52.3% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
(/.f64 (+.f64 n f) (-.f64 n f)) |
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) |
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f))) |
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n))) |
| Outputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
3 calls:
| 6.0ms | n |
| 4.0ms | f |
| 3.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | f |
| 100.0% | 1 | n |
| 100.0% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) |
3 calls:
| 4.0ms | f |
| 3.0ms | n |
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 3 | f |
| 77.4% | 3 | n |
| 98.7% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
| Outputs |
|---|
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | f |
| 1.0ms | n |
| 1.0ms | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | n |
| 51.8% | 1 | f |
| 51.8% | 1 | (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.7964492860730205 | 0.9999999690845666 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.7964492860730205 | 0.9999999690845666 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.7964492860730205 | 0.9999999690845666 |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.7964492860730205 | 0.9999999690845666 |
Compiled 11 to 11 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | -0.7964492860730205 | 0.9999999690845666 |
| 29.0ms | 240× | 0 | valid |
Compiled 311 to 281 computations (9.6% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 191 |
| 1 | 63 | 191 |
| 2 | 94 | 191 |
| 3 | 143 | 184 |
| 4 | 245 | 184 |
| 5 | 493 | 184 |
| 6 | 1721 | 184 |
| 7 | 4112 | 184 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 n f) (-.f64 n f)) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))) |
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 384 |
| 1 | 448 | 349 |
| 2 | 1348 | 314 |
| 3 | 5264 | 304 |
| 0 | 8383 | 278 |
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 46 | 18 |
| 2 | 327 | 17 |
| 0 | 5547 | 17 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 252 to 99 computations (60.7% saved)
Compiled 398 to 92 computations (76.9% saved)
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