
Time bar (total: 5.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 21 to 13 computations (38.1% saved)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 588.0ms (79.8% of total)ival-add: 79.0ms (10.7% of total)ival-sub: 58.0ms (7.9% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 17 | 0 | - | 0 | - | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
| 11 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.im) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.im) |
| 0 | 0 | - | 0 | - | (*.f64 x.re x.re) |
| 0 | 0 | - | 0 | - | (*.f64 x.im x.re) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| 0 | 0 | - | 0 | - | x.re |
| 0 | 0 | - | 0 | - | x.im |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | nan-rescue | 20 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 59 | |
| ↳ | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 97 | |
| ↳ | (*.f64 x.im x.im) | overflow | 55 | |
| ↳ | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | overflow | 103 | |
| ↳ | (*.f64 x.im x.re) | overflow | 29 | |
| ↳ | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | overflow | 63 | |
| ↳ | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | overflow | 29 | |
| ↳ | (*.f64 x.re x.im) | overflow | 29 | |
-.f64 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | nan-rescue | 17 | 0 |
| ↳ | (*.f64 x.re x.re) | overflow | 59 | |
| ↳ | (*.f64 x.im x.im) | overflow | 55 | |
*.f64 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | n*o | 11 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 0 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 0 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 28 |
| 2 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 512× | 0 | valid |
Compiled 153 to 37 computations (75.8% saved)
ival-mult: 43.0ms (84.3% of total)ival-add: 4.0ms (7.8% of total)ival-sub: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 103 |
| 1 | 114 | 87 |
| 2 | 408 | 85 |
| 3 | 1278 | 57 |
| 4 | 4725 | 57 |
| 0 | 11 | 19 |
| 0 | 20 | 19 |
| 1 | 44 | 17 |
| 2 | 145 | 17 |
| 3 | 565 | 11 |
| 4 | 1712 | 11 |
| 5 | 5603 | 11 |
| 0 | 8569 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(abs x.re)
(negabs x.im)
Compiled 19 to 11 computations (42.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.2% | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 19 to 11 computations (42.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | |
| cost-diff | 2 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 6 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 65 |
| 0 | 20 | 65 |
| 1 | 44 | 59 |
| 2 | 145 | 59 |
| 3 | 565 | 53 |
| 4 | 1712 | 53 |
| 5 | 5603 | 53 |
| 0 | 8569 | 53 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im)) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(*.f64 x.re x.re) |
x.re |
(*.f64 x.im x.im) |
x.im |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
(*.f64 x.im x.re) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 2.7101007273927875 | (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) | |
| accuracy | 3.8945106083020584 | (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | |
| accuracy | 5.078083716604116 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 42.0ms | 256× | 0 | valid |
Compiled 67 to 13 computations (80.6% saved)
ival-mult: 28.0ms (88.3% of total)ival-add: 2.0ms (6.3% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x.im | @ | -inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.im | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.im | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.re | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.re | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 215 |
| 1 | 202 | 207 |
| 2 | 773 | 206 |
| 3 | 4378 | 206 |
| 0 | 8308 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* -1 (pow x.im 2)) |
(- (pow x.re 2) (pow x.im 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(pow x.re 2) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(- (pow x.re 2) (pow x.im 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) |
(+ (* -1 (pow x.im 2)) (pow x.re 2)) |
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (*.f64 x.im x.im)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 0 | 20 | 51 |
| 1 | 89 | 39 |
| 0 | 691 | 38 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) |
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))))) |
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re))) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re))) |
Compiled 3 305 to 481 computations (85.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 4 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 4 | 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.8% | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| ▶ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
| ▶ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
| ▶ | 91.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
Compiled 107 to 62 computations (42.1% saved)
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x.im x.re) x.re) | |
| cost-diff | 0 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) | |
| cost-diff | 1 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| cost-diff | 2 | (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) | |
| cost-diff | 0 | (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 209 |
| 0 | 46 | 209 |
| 1 | 102 | 197 |
| 2 | 285 | 197 |
| 3 | 958 | 179 |
| 4 | 2529 | 179 |
| 5 | 5705 | 179 |
| 0 | 8813 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
x.im |
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
#s(literal -3 binary64) |
(*.f64 x.re x.re) |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(neg.f64 x.im) |
x.im |
#s(literal 3 binary64) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im) |
(neg.f64 x.im) |
x.im |
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) |
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 x.re x.re) |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(neg.f64 x.im) |
x.im |
#s(literal 3 binary64) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
x.im |
x.re |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) |
(*.f64 x.re x.im) |
(*.f64 x.im x.re) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x.im x.re) x.re) | |
| accuracy | 5.078083716604116 | (+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) | |
| accuracy | 26.301642600152498 | #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) | |
| accuracy | 0.0 | (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (neg.f64 x.im) | |
| accuracy | 28.974729750503812 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x.re) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) | |
| accuracy | 0.125 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) | |
| accuracy | 26.30195724051278 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) | |
| accuracy | 0.0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) | |
| accuracy | 0.19140625 | (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) | |
| accuracy | 2.499972476055602 | (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) | |
| accuracy | 2.7098026566014566 | (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
| 45.0ms | 256× | 0 | valid |
Compiled 176 to 24 computations (86.4% saved)
ival-mult: 18.0ms (60.9% of total)ival-pow: 6.0ms (20.3% of total)ival-add: 3.0ms (10.1% of total)ival-sub: 1.0ms (3.4% of total)ival-neg: 1.0ms (3.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(* 3 x.re) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* -3 (pow x.re 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x.im | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 3.0ms | x.im | @ | -inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.re | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
| 2.0ms | x.re | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 301 |
| 1 | 255 | 288 |
| 2 | 857 | 288 |
| 3 | 4540 | 288 |
| 0 | 8299 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(* 3 x.re) |
(* 2 (* x.im x.re)) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* -3 (pow x.re 2)) |
(* 2 (* x.im (pow x.re 2))) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* 3 (* x.im x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(* 2 (* x.im x.re)) |
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) |
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* -3 (pow x.re 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
(* 2 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) |
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) |
(* -1 x.im) |
(neg.f64 x.im) |
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) |
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 0 | 46 | 188 |
| 1 | 173 | 164 |
| 2 | 1142 | 162 |
| 0 | 8538 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))) |
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im)) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(*.f64 x.im (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))) |
(/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)))) |
(/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x.im) #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x.im) #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x.im) #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 (neg.f64 x.im) #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im) (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im))) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)))) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 x.im) #s(literal 9 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)))))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im)) (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im)) (-.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))) |
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) |
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))) (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))))) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (neg.f64 (neg.f64 x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re) (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re) (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re) (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))))) (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re) (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))))) |
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 x.im x.re)) |
(fabs.f64 (*.f64 (*.f64 x.re x.re) (neg.f64 x.im))) |
(fabs.f64 (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) #s(literal -3 binary64))) |
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.re)) |
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) |
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))) (-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re) (-.f64 (*.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x.re #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) |
(fma.f64 (*.f64 x.im (neg.f64 x.re)) (neg.f64 x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
(-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (neg.f64 (*.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))) |
(-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.re)) |
(-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (neg.f64 (*.f64 x.re x.re)) x.im)) |
(-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (neg.f64 x.re) (*.f64 x.im x.re))) |
(-.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (neg.f64 x.im) (*.f64 x.re x.re))) |
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re)) |
Compiled 15 474 to 1 300 computations (91.6% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 7 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 352 | 10 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
| 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) | |
| 58.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) | |
| ▶ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
| ✓ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
| ▶ | 54.6% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| ▶ | 18.2% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
| ✓ | 91.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
| ▶ | 75.6% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
| ▶ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
Compiled 492 to 285 computations (42.1% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) | |
| cost-diff | 0 | (*.f64 x.im x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im x.re) x.re) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) x.im) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) | |
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) | |
| cost-diff | 0 | (*.f64 x.im x.im) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) | |
| cost-diff | 2 | (*.f64 (*.f64 x.im x.im) x.im) | |
| cost-diff | 0 | #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 303 |
| 0 | 58 | 303 |
| 1 | 113 | 285 |
| 2 | 290 | 285 |
| 3 | 930 | 255 |
| 4 | 2519 | 255 |
| 5 | 6152 | 255 |
| 0 | 8222 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) |
(/.f64 (/.f64 x.im x.re) x.re) |
(/.f64 x.im x.re) |
x.re |
#s(literal 3 binary64) |
(*.f64 x.re x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
(*.f64 (*.f64 x.im x.im) x.im) |
(*.f64 x.im x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
x.im |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im)) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re) |
(-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) |
(/.f64 (/.f64 x.im x.re) x.re) |
(/.f64 x.im x.re) |
x.re |
#s(literal 3 binary64) |
(*.f64 x.re x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 x.im #s(literal 3 binary64))) |
(*.f64 (*.f64 x.im x.im) x.im) |
(pow.f64 x.im #s(literal 3 binary64)) |
(*.f64 x.im x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(*.f64 (neg.f64 x.im) x.im) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
x.im |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
#s(literal 3 binary64) |
x.re |
x.im |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x.re) | |
| accuracy | 0.203125 | (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) | |
| accuracy | 5.902340106295137 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) | |
| accuracy | 26.30195724051278 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) | |
| accuracy | 0.0 | (*.f64 x.im x.re) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x.im x.re) x.re) | |
| accuracy | 0.13671875 | (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) | |
| accuracy | 26.30195724051278 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 x.im) x.im) | |
| accuracy | 0.0 | (neg.f64 x.im) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) | |
| accuracy | 28.974729750503812 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) | |
| accuracy | 0.0 | (*.f64 x.im x.im) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 x.im x.im) x.im) | |
| accuracy | 52.379395359386166 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 x.im x.re) x.re) | |
| accuracy | 2.7098026566014566 | (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) | |
| accuracy | 3.942221912135433 | (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) | |
| accuracy | 12.85449088077295 | (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
| 88.0ms | 256× | 0 | valid |
Compiled 221 to 32 computations (85.5% saved)
ival-mult: 63.0ms (86% of total)ival-div: 3.0ms (4.1% of total)ival-add: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.7% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
(*.f64 (*.f64 x.im x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
(*.f64 x.im x.im) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) |
(/.f64 (/.f64 x.im x.re) x.re) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* x.im x.re) |
(* 3 (pow x.re 2)) |
(* 3 x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/ x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -3 (pow x.re 2)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(pow x.im 3) |
(* -1 (pow x.im 2)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x.im | @ | -inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (- (* (/ (/ x.im x.re) x.re) x.im) 3) (* x.re x.re)) (* (/ (/ x.im x.re) x.re) x.im) (/ (/ x.im x.re) x.re)) |
| 3.0ms | x.im | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (- (* (/ (/ x.im x.re) x.re) x.im) 3) (* x.re x.re)) (* (/ (/ x.im x.re) x.re) x.im) (/ (/ x.im x.re) x.re)) |
| 3.0ms | x.im | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (- (* (/ (/ x.im x.re) x.re) x.im) 3) (* x.re x.re)) (* (/ (/ x.im x.re) x.re) x.im) (/ (/ x.im x.re) x.re)) |
| 2.0ms | x.re | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (- (* (/ (/ x.im x.re) x.re) x.im) 3) (* x.re x.re)) (* (/ (/ x.im x.re) x.re) x.im) (/ (/ x.im x.re) x.re)) |
| 2.0ms | x.re | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* 3 (* (* x.im x.re) x.re)) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (- (* (/ (/ x.im x.re) x.re) x.im) 3) (* x.re x.re)) (* (/ (/ x.im x.re) x.re) x.im) (/ (/ x.im x.re) x.re)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 251 |
| 1 | 212 | 243 |
| 2 | 709 | 241 |
| 3 | 4013 | 241 |
| 0 | 8293 | 235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* x.im (pow x.re 2)) |
(* x.im x.re) |
(* 3 (pow x.re 2)) |
(* 3 x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(/ x.im (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -3 (pow x.re 2)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(pow x.im 3) |
(* -1 (pow x.im 2)) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(* x.im x.re) |
(*.f64 x.im x.re) |
(* 3 (pow x.re 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(* 3 x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) |
(/ x.im (pow x.re 2)) |
(/.f64 x.im (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)) |
(* -3 (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(*.f64 (-.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* -1 x.im) |
(neg.f64 x.im) |
(pow x.im 3) |
(pow.f64 x.im #s(literal 3 binary64)) |
(* -1 (pow x.im 2)) |
(*.f64 (neg.f64 x.im) x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 275 |
| 0 | 58 | 265 |
| 1 | 185 | 245 |
| 2 | 1126 | 235 |
| 0 | 8450 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
(*.f64 (*.f64 x.im x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
(*.f64 x.im x.im) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
(*.f64 (neg.f64 x.im) x.im) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im x.re) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) |
(/.f64 (/.f64 x.im x.re) x.re) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im))) |
(*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im)) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re))) |
(*.f64 x.im (neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)))) |
(neg.f64 (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) x.im)) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (pow.f64 (*.f64 x.im x.im) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x.im x.im) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im)) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) |
(*.f64 (*.f64 x.im x.im) x.im) |
(*.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im)) |
(*.f64 x.im (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(pow.f64 x.im #s(literal 3 binary64)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x.im)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 x.im #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x.im))) (neg.f64 (neg.f64 (neg.f64 x.im)))) |
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 x.im))) |
(*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 x.im))) |
(*.f64 (neg.f64 x.im) (neg.f64 x.im)) |
(*.f64 x.im x.im) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x.im) #s(literal 2 binary64)) |
(pow.f64 x.im #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x.im) x.im)) |
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x.im) x.im)) |
(fabs.f64 (*.f64 x.im x.im)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x.im x.im) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x.im x.im) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im)) |
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im) |
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im)) |
(*.f64 (*.f64 x.im x.im) x.im) |
(*.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im)) |
(*.f64 x.im (*.f64 (neg.f64 x.im) x.im)) |
(*.f64 x.im (*.f64 x.im x.im)) |
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(pow.f64 x.im #s(literal 3 binary64)) |
(neg.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 x.im #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x.im)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 x.im #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)) |
(*.f64 (neg.f64 x.im) (neg.f64 (neg.f64 x.im))) |
(*.f64 (neg.f64 x.im) x.im) |
(*.f64 x.im (neg.f64 x.im)) |
(neg.f64 (*.f64 x.im x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) x.re) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)) |
(*.f64 (*.f64 x.im (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re (*.f64 x.im x.re)) |
(fabs.f64 (*.f64 (*.f64 x.re x.re) (neg.f64 x.im))) |
(fabs.f64 (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 x.im x.re) |
(*.f64 x.re x.im) |
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.im))) |
(fabs.f64 (*.f64 (neg.f64 x.re) x.im)) |
(fabs.f64 (*.f64 (neg.f64 x.im) x.re)) |
(fabs.f64 (*.f64 x.im x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) x.re) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) |
(*.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x.re))) x.re) |
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) x.re)) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) |
(*.f64 x.re (fabs.f64 (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))) |
(*.f64 x.re (fabs.f64 (*.f64 #s(literal -3 binary64) x.re))) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) |
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) |
(fabs.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))) |
(*.f64 #s(literal 3 binary64) x.re) |
(*.f64 x.re #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 x.re (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.re x.re))) (neg.f64 (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 x.re x.re))) (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 x.re x.re)) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x.im)) x.re) (/.f64 (neg.f64 (neg.f64 x.im)) x.re)) |
(*.f64 (/.f64 x.im (neg.f64 (neg.f64 x.re))) (/.f64 x.im (neg.f64 (neg.f64 x.re)))) |
(*.f64 (fabs.f64 (/.f64 x.im x.re)) (fabs.f64 (/.f64 x.im x.re))) |
(*.f64 (fabs.f64 (/.f64 (/.f64 x.im x.re) x.re)) x.im) |
(*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re)) |
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) |
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) |
(*.f64 x.im (fabs.f64 (/.f64 (/.f64 x.im x.re) x.re))) |
(*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re)) |
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x.im) x.re) x.im)) (neg.f64 (neg.f64 x.re))) |
(/.f64 (neg.f64 (*.f64 x.im (/.f64 (neg.f64 x.im) x.re))) (neg.f64 (neg.f64 x.re))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im))) (neg.f64 (neg.f64 x.re))) |
(/.f64 (*.f64 x.im (neg.f64 (neg.f64 x.im))) (*.f64 x.re (neg.f64 (neg.f64 x.re)))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 x.im) x.re) x.im)) x.re) |
(/.f64 (fabs.f64 (*.f64 x.im (/.f64 (neg.f64 x.im) x.re))) x.re) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im))) x.re) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x.im x.re) x.im)) x.re) |
(/.f64 (*.f64 (/.f64 (neg.f64 x.im) x.re) x.im) (neg.f64 x.re)) |
(/.f64 (*.f64 x.im (/.f64 (neg.f64 x.im) x.re)) (neg.f64 x.re)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x.im)) x.im) (*.f64 (neg.f64 (neg.f64 x.re)) x.re)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im)) (neg.f64 x.re)) |
(/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.re) (neg.f64 (neg.f64 x.re)))) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 x.re))) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.re) x.re)) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re (neg.f64 x.re))) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 (*.f64 x.re x.re))) |
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 (neg.f64 (*.f64 x.re x.re)))) |
(/.f64 (neg.f64 (neg.f64 x.im)) (*.f64 x.re x.re)) |
(/.f64 (/.f64 (neg.f64 x.im) x.re) (neg.f64 (neg.f64 (neg.f64 x.re)))) |
(/.f64 (/.f64 (neg.f64 x.im) x.re) (neg.f64 x.re)) |
(/.f64 (/.f64 x.im x.re) (neg.f64 (neg.f64 x.re))) |
(/.f64 (/.f64 x.im x.re) x.re) |
(/.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.re) x.re)) |
(/.f64 (neg.f64 x.im) (neg.f64 (*.f64 x.re x.re))) |
(/.f64 x.im (*.f64 x.re x.re)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re)) |
Compiled 6 437 to 749 computations (88.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 1 | 177 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 177 | 10 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
| ▶ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
| ▶ | 58.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
| ✓ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
| ✓ | 54.6% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| ✓ | 18.2% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
| ✓ | 91.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
| ▶ | 68.5% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
| ✓ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
Compiled 287 to 166 computations (42.2% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x.re x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 x.re x.re) x.im) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x.im #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) | |
| cost-diff | 0 | #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) | |
| cost-diff | 0 | (neg.f64 x.im) | |
| cost-diff | 0 | (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 227 |
| 0 | 44 | 227 |
| 1 | 93 | 221 |
| 2 | 293 | 221 |
| 3 | 995 | 203 |
| 4 | 2586 | 203 |
| 5 | 6315 | 203 |
| 0 | 8382 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
(*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
(/.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
#s(literal 3 binary64) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
(*.f64 x.im #s(literal 3 binary64)) |
x.im |
#s(literal 3 binary64) |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im)) |
(neg.f64 x.im) |
x.im |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re) |
(-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
(/.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re x.re) |
x.re |
#s(literal 3 binary64) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) |
(*.f64 x.im #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x.im) |
x.im |
#s(literal 3 binary64) |
x.re |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
x.re |
x.im |
#s(literal 3 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x.re x.re) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) | |
| accuracy | 5.866185845196517 | (*.f64 (*.f64 x.re x.re) x.im) | |
| accuracy | 26.30195724051278 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) | |
| accuracy | 0.0 | (*.f64 x.im #s(literal 3 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) | |
| accuracy | 0.19921875 | (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) | |
| accuracy | 26.30195724051278 | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) | |
| accuracy | 2.7098026566014566 | (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) | |
| accuracy | 3.942221912135433 | (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) | |
| accuracy | 5.814952168995261 | (/.f64 x.im (*.f64 x.re x.re)) | |
| accuracy | 12.85449088077295 | (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
| 54.0ms | 256× | 0 | valid |
Compiled 158 to 28 computations (82.3% saved)
ival-mult: 21.0ms (70% of total)ival-add: 3.0ms (10% of total)ival-div: 2.0ms (6.7% of total)ival-sub: 2.0ms (6.7% of total)ival-neg: 1.0ms (3.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
(*.f64 x.im #s(literal 3 binary64)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
(*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(/.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(* x.im (pow x.re 2)) |
(pow x.re 2) |
(/ x.im (pow x.re 2)) |
(/ (pow x.im 2) (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -3 (pow x.re 2)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(* 3 x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x.im | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im)) |
| 25.0ms | x.im | @ | -inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im)) |
| 2.0ms | x.im | @ | 0 | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im)) |
| 2.0ms | x.re | @ | inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im)) |
| 2.0ms | x.re | @ | -inf | ((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) x.re) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 244 |
| 1 | 213 | 236 |
| 2 | 716 | 234 |
| 3 | 4034 | 234 |
| 0 | 8332 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (pow x.im 3)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(pow x.im 2) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(* 3 (* x.im (pow x.re 2))) |
(* 3 (* x.im x.re)) |
(* x.im (pow x.re 2)) |
(pow x.re 2) |
(/ x.im (pow x.re 2)) |
(/ (pow x.im 2) (pow x.re 2)) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(* -3 (pow x.re 2)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(* -1 x.im) |
(* 3 x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
| Outputs |
|---|
(* -1 (pow x.im 3)) |
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64)) |
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(pow x.im 2) |
(*.f64 x.im x.im) |
(+ (* -3 (pow x.re 2)) (pow x.im 2)) |
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) |
(* 3 (* x.im (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* 3 (* x.im x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) |
(* x.im (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(pow x.re 2) |
(*.f64 x.re x.re) |
(/ x.im (pow x.re 2)) |
(/.f64 x.im (*.f64 x.re x.re)) |
(/ (pow x.im 2) (pow x.re 2)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
(* (pow x.re 2) (+ x.im (* 2 x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))) x.re) x.re) |
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))) |
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))) x.re) x.re) |
(* -3 (pow x.re 2)) |
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) |
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re) |
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))) |
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) |
(* -1 x.im) |
(neg.f64 x.im) |
(* 3 x.im) |
(*.f64 #s(literal 3 binary64) x.im) |
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im)) |
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 206 |
| 0 | 44 | 206 |
| 1 | 163 | 194 |
| 2 | 1127 | 184 |
| 0 | 8637 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) |
(*.f64 x.im #s(literal 3 binary64)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 x.re x.re) |
(*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(/.f64 x.im (*.f64 x.re x.re)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re))) (neg.f64 x.im))) |
(*.f64 (neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re)))) x.im) |
(*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re))) (neg.f64 x.im)) |
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re)))) |
(*.f64 x.im (neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
(neg.f64 (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re))) x.im)) |
(neg.f64 x.im) |
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) |
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) |
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 #s(literal 3 binary64) x.im) |
(*.f64 x.im #s(literal 3 binary64)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im))) |
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re) |
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)) |
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) |
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)) |
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) |
(*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)) |
(*.f64 (*.f64 (neg.f64 x.re) x.im) (neg.f64 x.re)) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) x.im)) |
(*.f64 (*.f64 x.re x.re) x.im) |
(*.f64 (*.f64 x.im x.re) x.re) |
(*.f64 x.im (*.f64 x.re x.re)) |
(*.f64 x.re (*.f64 x.im x.re)) |
(fabs.f64 (*.f64 (*.f64 x.re x.re) (neg.f64 x.im))) |
(fabs.f64 (*.f64 (*.f64 x.re x.re) x.im)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 (neg.f64 (neg.f64 x.re)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 x.re)) |
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re))) |
(*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re))) |
(*.f64 (neg.f64 (neg.f64 x.re)) x.re) |
(*.f64 (neg.f64 x.re) (neg.f64 (neg.f64 (neg.f64 x.re)))) |
(*.f64 (neg.f64 x.re) (neg.f64 x.re)) |
(*.f64 x.re (neg.f64 (neg.f64 x.re))) |
(*.f64 x.re x.re) |
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64)) |
(pow.f64 x.re #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x.re) x.re)) |
(sqrt.f64 (pow.f64 x.re #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x.re) x.re)) |
(fabs.f64 (*.f64 x.re x.re)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 x.re)) (neg.f64 x.re)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re) x.re) |
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.re x.re)) |
(*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 x.re (*.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.re x.re))) (neg.f64 (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 x.re x.re))) (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.re x.re)) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 x.re x.re)) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x.re x.re) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x.im x.re))) (neg.f64 (neg.f64 x.re))) |
(/.f64 (neg.f64 (/.f64 x.im (neg.f64 x.re))) (neg.f64 (neg.f64 x.re))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x.im))) (*.f64 (neg.f64 x.re) x.re)) |
(/.f64 (/.f64 x.im (neg.f64 x.re)) (neg.f64 x.re)) |
(/.f64 (neg.f64 (/.f64 x.im x.re)) (neg.f64 x.re)) |
(/.f64 (neg.f64 (neg.f64 x.im)) (*.f64 x.re x.re)) |
(/.f64 (/.f64 x.im x.re) x.re) |
(/.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.re) x.re)) |
(/.f64 x.im (*.f64 x.re x.re)) |
(neg.f64 (/.f64 x.im (*.f64 (neg.f64 x.re) x.re))) |
(fabs.f64 (/.f64 x.im (*.f64 (neg.f64 x.re) x.re))) |
(fabs.f64 (/.f64 x.im (*.f64 x.re x.re))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x.im)) x.re) (/.f64 (neg.f64 (neg.f64 x.im)) x.re)) |
(*.f64 (/.f64 x.im (neg.f64 (neg.f64 x.re))) (/.f64 x.im (neg.f64 (neg.f64 x.re)))) |
(*.f64 (/.f64 x.im (neg.f64 (neg.f64 x.re))) (/.f64 x.im x.re)) |
(*.f64 (neg.f64 (/.f64 (neg.f64 x.im) x.re)) (neg.f64 (/.f64 (neg.f64 x.im) x.re))) |
(*.f64 (neg.f64 (/.f64 x.im (neg.f64 x.re))) (neg.f64 (/.f64 x.im (neg.f64 x.re)))) |
(*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re)) |
(*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im (neg.f64 x.re))) |
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 (neg.f64 x.im) x.re)) |
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im (neg.f64 x.re))) |
(*.f64 (neg.f64 (/.f64 x.im x.re)) (neg.f64 (/.f64 x.im x.re))) |
(*.f64 (/.f64 x.im x.re) (/.f64 x.im (neg.f64 (neg.f64 x.re)))) |
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) |
(*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) |
(*.f64 (neg.f64 x.im) (/.f64 x.im (*.f64 (neg.f64 x.re) x.re))) |
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))) |
(pow.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x.im (neg.f64 x.re)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (neg.f64 (neg.f64 x.re))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x.im x.im) x.re)) (neg.f64 x.re)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im)) (neg.f64 x.re)) |
(/.f64 (neg.f64 (*.f64 x.im (/.f64 x.im x.re))) (neg.f64 x.re)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x.im x.re) x.im)) x.re) |
(/.f64 (fabs.f64 (*.f64 x.im (/.f64 x.im x.re))) x.re) |
(/.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) (neg.f64 x.re)) |
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) |
(/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re) |
(/.f64 (*.f64 x.im (/.f64 x.im x.re)) x.re) |
(/.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.re) x.re)) |
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) |
Compiled 7 654 to 896 computations (88.3% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 7 | 7 |
| Total | 183 | 10 | 193 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
| ✓ | 58.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
| ✓ | 54.7% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
| ✓ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
| ✓ | 54.6% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| ✓ | 18.2% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
| ✓ | 91.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
| ✓ | 68.5% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
| ✓ | 58.8% | #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
Compiled 664 to 237 computations (64.3% saved)
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
3 calls:
| 4.0ms | x.re |
| 4.0ms | x.im |
| 3.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 95.9% | 2 | x.re |
| 97.8% | 3 | x.im |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
2 calls:
| 3.0ms | x.im |
| 3.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | x.im |
| 97.1% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
3 calls:
| 14.0ms | x.re |
| 3.0ms | x.im |
| 2.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 3 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 85.0% | 2 | x.re |
| 80.0% | 2 | x.im |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
3 calls:
| 1.0ms | x.re |
| 1.0ms | x.im |
| 1.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 1 | x.im |
| 57.1% | 2 | x.re |
| 54.6% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
Compiled 21 to 15 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
| Outputs |
|---|
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
3 calls:
| 1.0ms | x.im |
| 1.0ms | x.re |
| 1.0ms | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | x.im |
| 18.2% | 1 | (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) |
| 18.2% | 1 | x.re |
Compiled 21 to 15 computations (28.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.2883586365547163e+72 | 1.6943433691231183e+72 |
Compiled 22 to 16 computations (27.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.3881053506442206e+185 | 3.682181961536012e+187 |
| 12.0ms | 5.246451530249631e-174 | 3.0349794982029357e-172 |
| 16.0ms | 224× | 0 | valid |
Compiled 827 to 513 computations (38% saved)
ival-mult: 8.0ms (74.4% of total)ival-add: 2.0ms (18.6% of total)ival-sub: 1.0ms (9.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -1.127583260703047e-295 | 0.0 |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.249438001816409e+245 | 1.626177016621804e+249 |
| 9.0ms | 128× | 0 | valid |
Compiled 430 to 264 computations (38.6% saved)
ival-mult: 4.0ms (65.9% of total)ival-sub: 1.0ms (16.5% of total)ival-add: 1.0ms (16.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 406 |
| 1 | 110 | 386 |
| 2 | 262 | 386 |
| 3 | 778 | 346 |
| 4 | 1964 | 346 |
| 5 | 6048 | 346 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1500000000000000013782431038608743471020045931150613548915489657835225088 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))))) |
(if (<=.f64 x.im #s(literal 5221298924585947/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) (if (<=.f64 x.im #s(literal 34999999999999997716628177180618828456262825124219599200927896470271477712992817949086349058729937009922370224800987726910078828758013830848598111248489031905594161326967648748979181584384 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 x.re #s(literal 330000000000000010989511418832759980295994913724509281181326592224921792015489195013070868246365425747092065240117195811475735055155959371573465557979313859526454122495578109398797153760732429691465322374959226894790339593442746789856516698537984 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 1500000000000000013782431038608743471020045931150613548915489657835225088 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))))) |
(if (<=.f64 x.im #s(literal 5221298924585947/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) (if (<=.f64 x.im #s(literal 34999999999999997716628177180618828456262825124219599200927896470271477712992817949086349058729937009922370224800987726910078828758013830848598111248489031905594161326967648748979181584384 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)))) |
(if (or (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (not (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))) |
(if (<=.f64 x.re #s(literal 330000000000000010989511418832759980295994913724509281181326592224921792015489195013070868246365425747092065240117195811475735055155959371573465557979313859526454122495578109398797153760732429691465322374959226894790339593442746789856516698537984 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im))) |
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 0 | 46 | 188 |
| 1 | 173 | 164 |
| 2 | 1142 | 162 |
| 0 | 8538 | 153 |
| 0 | 57 | 215 |
| 1 | 202 | 207 |
| 2 | 773 | 206 |
| 3 | 4378 | 206 |
| 0 | 8308 | 201 |
| 0 | 76 | 301 |
| 1 | 255 | 288 |
| 2 | 857 | 288 |
| 3 | 4540 | 288 |
| 0 | 8299 | 280 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 406 to 66 computations (83.7% saved)
(abs x.re)
Compiled 1 700 to 428 computations (74.8% saved)
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