
Time bar (total: 2.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 407.0ms | 8 256× | 0 | valid |
ival-add: 107.0ms (48% of total)ival-div: 101.0ms (45.3% of total)exact: 10.0ms (4.5% of total)ival-assert: 3.0ms (1.3% of total)adjust: 2.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 16 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 31.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-add: 16.0ms (78.8% of total)ival-div: 4.0ms (19.7% of total)exact: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 22 | 17 |
| 2 | 38 | 15 |
| 3 | 50 | 15 |
| 4 | 51 | 15 |
| 5 | 58 | 15 |
| 6 | 71 | 15 |
| 7 | 74 | 15 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 12 | 5 |
| 2 | 13 | 5 |
| 0 | 13 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
Compiled 5 to 5 computations (0% saved)
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 16 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 13 | 11 |
| 0 | 13 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(+.f64 x #s(literal 16 binary64)) |
x |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)) |
(+.f64 x #s(literal 16 binary64)) |
(+.f64 #s(literal 16 binary64) x) |
x |
#s(literal 16 binary64) |
#s(literal 116 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 16 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 12.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (52.1% of total)ival-add: 2.0ms (52.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(+.f64 x #s(literal 16 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((/ (+ x 16) 116) (+ x 16)) |
| 0.0ms | x | @ | inf | ((/ (+ x 16) 116) (+ x 16)) |
| 0.0ms | x | @ | 0 | ((/ (+ x 16) 116) (+ x 16)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 62 |
| 1 | 67 | 62 |
| 2 | 154 | 62 |
| 3 | 446 | 62 |
| 4 | 2554 | 62 |
| 0 | 8334 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(literal 16 binary64)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (+ x 16) (-.f64 x #s(literal -16 binary64))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) x) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
#s(approx (+ x 16) (-.f64 x #s(literal -16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 31 | 8 |
| 2 | 181 | 8 |
| 0 | 1610 | 8 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(+.f64 x #s(literal 16 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 16 binary64) x) (-.f64 x #s(literal 16 binary64))) (/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (/.f64 (+.f64 #s(literal 16 binary64) x) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(*.f64 (+.f64 #s(literal 16 binary64) x) (/.f64 (-.f64 x #s(literal 16 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal 116 binary64)) #s(literal 116 binary64)) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (neg.f64 (/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64))) #s(literal -13456 binary64)) |
(/.f64 (+.f64 #s(literal 1856 binary64) (*.f64 #s(literal -116 binary64) (neg.f64 x))) #s(literal 13456 binary64)) |
(/.f64 (+.f64 #s(literal -1856 binary64) (*.f64 #s(literal -116 binary64) x)) #s(literal -13456 binary64)) |
(/.f64 (+.f64 #s(literal -1856 binary64) (*.f64 #s(literal 116 binary64) (neg.f64 x))) #s(literal -13456 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal -116 binary64) #s(literal 1856 binary64)) #s(literal 13456 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 116 binary64) #s(literal -1856 binary64)) #s(literal -13456 binary64)) |
(/.f64 (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)) #s(literal -13456 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (*.f64 (fma.f64 x x #s(literal 256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) |
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (fma.f64 #s(literal 256 binary64) (fma.f64 x x #s(literal 256 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))) |
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 4096 binary64) (-.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -116 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal -116 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 1856 binary64)) #s(literal 13456 binary64)) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 (neg.f64 (-.f64 x #s(literal 16 binary64))) #s(literal -116 binary64))) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (*.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal -116 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 16 binary64) x)) #s(literal -116 binary64)) |
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -116 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 16/841 binary64) (/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 256 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) (-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))) (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 13456 binary64)) #s(literal 4/29 binary64)) |
(+.f64 (/.f64 #s(literal 4096 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 4096 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal -256 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))) |
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))) |
(+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -16 binary64) (-.f64 #s(literal 16 binary64) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (-.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x x #s(literal -256 binary64))) (+.f64 #s(literal 16 binary64) x)) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (/.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(*.f64 (+.f64 #s(literal 16 binary64) x) (/.f64 (-.f64 x #s(literal 16 binary64)) (-.f64 x #s(literal 16 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))))) (*.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (*.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (fma.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 16 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 16 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64)))) (-.f64 x #s(literal 16 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 16 binary64))) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (*.f64 (-.f64 x #s(literal 16 binary64)) (-.f64 x #s(literal 16 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 4096 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (*.f64 (fma.f64 x x #s(literal 256 binary64)) (-.f64 x #s(literal 16 binary64)))) |
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 16 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (fma.f64 #s(literal 256 binary64) (fma.f64 x x #s(literal 256 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 16 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 4096 binary64) (-.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (neg.f64 (-.f64 x #s(literal 16 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 16 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 x #s(literal 16 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4096 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) |
(neg.f64 (neg.f64 (+.f64 #s(literal 16 binary64) x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -256 binary64))) (+.f64 #s(literal 16 binary64) x) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -16 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4096 binary64) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (-.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (/.f64 #s(literal 4096 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -16 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 #s(literal 4096 binary64) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (-.f64 (-.f64 #s(literal 256 binary64) (*.f64 #s(literal 16 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (pow.f64 #s(literal 16 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 256 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 16 binary64)) |
(+.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (-.f64 x #s(literal 16 binary64)))) |
(+.f64 #s(literal 16 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 16 binary64) x) |
(+.f64 x #s(literal 16 binary64)) |
Compiled 1 892 to 364 computations (80.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 4 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 4 | 108 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.8% | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
| ▶ | 100.0% | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
| ▶ | 43.8% | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
| ▶ | 56.1% | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
Compiled 33 to 30 computations (9.1% saved)
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x 16) x) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/116 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 53 |
| 0 | 17 | 53 |
| 1 | 23 | 53 |
| 2 | 31 | 53 |
| 3 | 38 | 53 |
| 4 | 50 | 53 |
| 5 | 52 | 53 |
| 6 | 56 | 53 |
| 7 | 59 | 53 |
| 8 | 66 | 53 |
| 9 | 82 | 53 |
| 10 | 98 | 53 |
| 11 | 102 | 53 |
| 0 | 102 | 53 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
x |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
#s(literal 1/116 binary64) |
x |
#s(literal 4/29 binary64) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
#s(approx (+ x 16) x) |
x |
#s(literal 116 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
x |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
#s(literal 1/116 binary64) |
x |
#s(literal 4/29 binary64) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
#s(approx (+ x 16) x) |
x |
#s(literal 116 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) | |
| accuracy | 35.9402975882777 | #s(approx (+ x 16) x) | |
| accuracy | 0.0 | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) | |
| accuracy | 0.03125 | (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 1/116 binary64) x) | |
| accuracy | 35.93709561771723 | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) | |
| accuracy | 28.08239524446979 | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
| 25.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
const: 6.0ms (38% of total)ival-mult: 5.0ms (31.7% of total)ival-add: 3.0ms (19% of total)ival-div: 2.0ms (12.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
#s(approx (+ x 16) x) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 4/29)) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* 1/116 x))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (+ x 16) 116) (+ (* 1/116 x) 4/29) (/ (+ x 16) 116) (+ x 16)) |
| 1.0ms | x | @ | -inf | ((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (+ x 16) 116) (+ (* 1/116 x) 4/29) (/ (+ x 16) 116) (+ x 16)) |
| 0.0ms | x | @ | 0 | ((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (+ x 16) 116) (+ (* 1/116 x) 4/29) (/ (+ x 16) 116) (+ x 16)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 107 |
| 1 | 74 | 107 |
| 2 | 161 | 107 |
| 3 | 452 | 107 |
| 4 | 2572 | 107 |
| 0 | 8371 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 4/29)) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* 1/116 x))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (* 1/116 x) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ x 16) #s(hole binary64 16)) |
#s(approx (+ x 16) #s(literal 16 binary64)) |
#s(approx (+ x 16) #s(hole binary64 (+ 16 x))) |
#s(approx (+ x 16) (-.f64 x #s(literal -16 binary64))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (+ (* 1/116 x) 4/29) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ x 16) #s(hole binary64 x)) |
#s(approx (+ x 16) x) |
#s(approx (+ x 16) #s(hole binary64 (* x (+ 1 (* 16 (/ 1 x)))))) |
#s(approx (+ x 16) (-.f64 x #s(literal -16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 45 |
| 0 | 17 | 45 |
| 1 | 58 | 45 |
| 2 | 353 | 45 |
| 0 | 3278 | 45 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
#s(approx (+ x 16) x) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 x #s(literal 1/116 binary64)) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1/841 binary64) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 1/841 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)))))) |
(*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (/.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))))) |
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 #s(literal -1/116 binary64) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3802961274698203136 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 262144/14507145975869 binary64)) (*.f64 (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/594823321 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) |
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 1/841 binary64) x)) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 1/841 binary64) x)) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 1/841 binary64) x)) (*.f64 #s(literal 1/13456 binary64) (*.f64 x x))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1/841 binary64) x #s(literal 16/841 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/116 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/13456 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (pow.f64 #s(literal 4/29 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal 4/29 binary64) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/116 binary64) x) (/.f64 (*.f64 #s(literal -1/116 binary64) x) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/116 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/116 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/1560896 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 4/29 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/116 binary64) x) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/13456 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/1560896 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/116 binary64) x) (/.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/116 binary64) x) (/.f64 (*.f64 #s(literal 1/116 binary64) x) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/116 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/116 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(fma.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/13456 binary64) x) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))) (/.f64 (*.f64 #s(literal 1/13456 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -1/116 binary64) x)) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/13456 binary64) x) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1/116 binary64))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)) |
(/.f64 (neg.f64 #s(approx (+ x 16) x)) #s(literal -116 binary64)) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
(neg.f64 (/.f64 #s(approx (+ x 16) x) #s(literal -116 binary64))) |
#s(approx (+ x 16) x) |
(neg.f64 (neg.f64 #s(approx (+ x 16) x))) |
Compiled 2 091 to 313 computations (85% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 1 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 75 | 5 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 43.8% | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
| ✓ | 100.0% | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
| ▶ | 70.7% | #s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
| ✓ | 43.8% | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
| ✓ | 56.1% | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
Compiled 58 to 51 computations (12.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 90 |
| 0 | 31 | 90 |
| 1 | 52 | 90 |
| 2 | 127 | 90 |
| 3 | 313 | 90 |
| 4 | 709 | 90 |
| 5 | 1036 | 90 |
| 6 | 1149 | 90 |
| 7 | 1344 | 90 |
| 8 | 1553 | 90 |
| 9 | 1900 | 90 |
| 10 | 2061 | 90 |
| 11 | 2063 | 90 |
| 0 | 2063 | 90 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) |
#s(literal 1/181063936 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -256/707281 binary64) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
#s(literal 1/13456 binary64) |
(*.f64 x x) |
#s(literal 16/841 binary64) |
(-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
#s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)))) |
(fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) |
#s(literal 1/181063936 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal -256/707281 binary64) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) |
#s(literal 1/13456 binary64) |
(*.f64 x x) |
#s(literal 16/841 binary64) |
(-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
#s(literal 4/29 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 1/116 binary64) x) | |
| accuracy | 0.17873002930532603 | (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 18.220123977353406 | (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
| 61.0ms | 256× | 0 | valid |
Compiled 77 to 24 computations (68.8% saved)
const: 19.0ms (40.1% of total)ival-div: 10.0ms (21.1% of total)ival-mult: 8.0ms (16.9% of total)ival-add: 4.0ms (8.4% of total)ival-pow: 4.0ms (8.4% of total)ival-sub: 1.0ms (2.1% 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 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (pow x 4) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) |
| 2.0ms | x | @ | inf | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (pow x 4) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) |
| 2.0ms | x | @ | -inf | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (pow x 4) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 535 |
| 1 | 283 | 531 |
| 2 | 785 | 530 |
| 3 | 3460 | 526 |
| 0 | 8287 | 470 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(literal 4/29 binary64)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(literal 16/841 binary64)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (* 1/116 x) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(literal -64/24389 binary64)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 #s(literal 4/24389 binary64) x #s(literal -64/24389 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 (fma.f64 #s(literal -1/97556 binary64) x #s(literal 4/24389 binary64)) x #s(literal -64/24389 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1560896 binary64) x #s(literal -1/97556 binary64)) x #s(literal 4/24389 binary64)) x #s(literal -64/24389 binary64))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1560896 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (-.f64 #s(literal 1/1560896 binary64) (/.f64 #s(literal 1/97556 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/24389 binary64) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4/24389 binary64) (/.f64 #s(literal 64/24389 binary64) x)) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/97556 binary64) x) #s(literal 1/1560896 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/24389 binary64) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 4/24389 binary64)) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 74 |
| 0 | 31 | 74 |
| 1 | 121 | 46 |
| 0 | 927 | 43 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) (*.f64 (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -256/707281 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))))) |
(/.f64 (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 1/841 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) #s(literal -256/707281 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) |
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(-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/13456 binary64))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -1/13456 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 x #s(literal 1/116 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (*.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) |
(fma.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) |
Compiled 5 186 to 736 computations (85.8% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 1 | 159 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 159 | 5 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 43.8% | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
| ✓ | 100.0% | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
| ▶ | 56.2% | #s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
| ✓ | 43.8% | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
| ✓ | 56.1% | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
Compiled 61 to 54 computations (11.5% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 94 |
| 0 | 30 | 94 |
| 1 | 48 | 94 |
| 2 | 100 | 94 |
| 3 | 230 | 94 |
| 4 | 501 | 94 |
| 5 | 714 | 94 |
| 6 | 755 | 94 |
| 7 | 791 | 94 |
| 8 | 831 | 94 |
| 9 | 883 | 94 |
| 10 | 897 | 94 |
| 0 | 897 | 91 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
#s(literal -256/707281 binary64) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
#s(literal 1/13456 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
(-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
#s(literal -256/707281 binary64) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) |
#s(literal 1/13456 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
(-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 1/116 binary64) |
#s(literal 4/29 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 #s(literal 1/116 binary64) x) | |
| accuracy | 0.17873002930532603 | (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 18.220123977353406 | (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) | |
| accuracy | 28.337431860625095 | #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
| 46.0ms | 256× | 0 | valid |
Compiled 72 to 24 computations (66.7% saved)
const: 16.0ms (43.1% of total)ival-mult: 7.0ms (18.9% of total)ival-add: 4.0ms (10.8% of total)ival-pow: 4.0ms (10.8% of total)ival-div: 3.0ms (8.1% of total)ival-sub: 1.0ms (2.7% 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 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x)) |
| 1.0ms | x | @ | inf | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x 16) 116) (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (+ (* 1/13456 (* x x)) 16/841) (* 1/116 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 528 |
| 1 | 282 | 524 |
| 2 | 784 | 523 |
| 3 | 3482 | 519 |
| 0 | 8315 | 463 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(hole binary64 4/29)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 4/29)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(literal 4/29 binary64)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (+ 4/29 (* 1/116 x)))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 -256/707281)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (- (* 1/181063936 (pow x 4)) 256/707281))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 -64/24389)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(literal -64/24389 binary64)) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* 4/24389 x) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 #s(literal 4/24389 binary64) x #s(literal -64/24389 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* -1/97556 x))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 (fma.f64 #s(literal -1/97556 binary64) x #s(literal 4/24389 binary64)) x #s(literal -64/24389 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (- (* x (+ 4/24389 (* x (- (* 1/1560896 x) 1/97556)))) 64/24389))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1560896 binary64) x #s(literal -1/97556 binary64)) x #s(literal 4/24389 binary64)) x #s(literal -64/24389 binary64))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 16/841)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(literal 16/841 binary64)) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (+ 16/841 (* 1/13456 (pow x 2))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64))) |
#s(approx (* 1/116 x) #s(hole binary64 (* 1/116 x))) |
#s(approx (* 1/116 x) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* 1/116 x))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) #s(hole binary64 (* x (+ 1/116 (* 4/29 (/ 1 x)))))) |
#s(approx (/ (+ (* 1/181063936 (pow x 4)) -256/707281) (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* 1/181063936 (pow x 4)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(hole binary64 (* (pow x 4) (- 1/181063936 (* 256/707281 (/ 1 (pow x 4))))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* 1/1560896 (pow x 3)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1560896 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- 1/1560896 (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (-.f64 #s(literal 1/1560896 binary64) (/.f64 #s(literal 1/97556 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (* 1/97556 (/ 1 x)))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/24389 binary64) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* (pow x 3) (- (+ 1/1560896 (/ 4/24389 (pow x 2))) (+ (* 1/97556 (/ 1 x)) (* 64/24389 (/ 1 (pow x 3)))))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4/24389 binary64) (/.f64 #s(literal 64/24389 binary64) x)) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* 1/13456 (pow x 2)))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) #s(hole binary64 (* (pow x 2) (+ 1/13456 (* 16/841 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/13456 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/97556 (/ 1 x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/97556 binary64) x) #s(literal 1/1560896 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 4/24389 (/ 1 x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -4/24389 binary64) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ 1 x)) 4/24389) x)) 1/97556) x)) 1/1560896))))) |
#s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) x) #s(literal 4/24389 binary64)) x) #s(literal 1/97556 binary64)) x) #s(literal 1/1560896 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 0 | 30 | 80 |
| 1 | 117 | 80 |
| 0 | 857 | 74 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
(*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 #s(literal 1/116 binary64) x) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))) |
(/.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (neg.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) |
(/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))))) |
(neg.f64 (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))))) |
#s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (*.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (-.f64 (*.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) |
(fma.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) |
(/.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2436396322816 binary64) #s(literal 4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1/116 binary64)) x #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/116 binary64) x) x) #s(literal 1/116 binary64) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 #s(literal 1/13456 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 #s(literal 1/13456 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 16/841 binary64)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1/116 binary64) x)) (neg.f64 (*.f64 #s(literal 1/116 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/116 binary64) x)) (fabs.f64 (*.f64 #s(literal 1/116 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 #s(literal 1/13456 binary64) x) x #s(literal 16/841 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 #s(literal 1/116 binary64) x) (*.f64 #s(literal 1/116 binary64) x) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 1/116 binary64) (*.f64 x (*.f64 #s(literal 1/116 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/116 binary64) (*.f64 #s(literal 1/116 binary64) x)) #s(literal 16/841 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/13456 binary64) x) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) #s(literal -16/841 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) |
(-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/13456 binary64) x)) x)) |
(-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/13456 binary64))) |
(-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -1/13456 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/181063936 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 1/707281 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 x #s(literal 1/116 binary64)) |
Compiled 3 147 to 449 computations (85.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 1 | 92 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 92 | 5 | 97 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 43.8% | (/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
| ✓ | 100.0% | #s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
| 55.7% | #s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) #s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 #s(literal 4/24389 binary64) x #s(literal -64/24389 binary64))))) | |
| ✓ | 43.8% | #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
| ✓ | 56.1% | #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
Compiled 192 to 115 computations (40.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) #s(approx (* (+ (* 1/13456 (* x x)) 16/841) (- (* 1/116 x) 4/29)) (fma.f64 #s(literal 4/24389 binary64) x #s(literal -64/24389 binary64))))) |
#s(approx (/ (+ x 16) 116) (/.f64 #s(approx (+ (* 1/181063936 (pow x 4)) -256/707281) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
#s(approx (/ (+ x 16) 116) (/.f64 (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 x #s(literal 16 binary64)) |
| 2.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x #s(literal 16 binary64)) |
| 100.0% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 100.0% | 1 | x |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(approx (+ x 16) x) #s(literal 116 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
3 calls:
| 12.0ms | x |
| 2.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 2.0ms | (+.f64 x #s(literal 16 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x #s(literal 16 binary64)) |
| 100.0% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 100.0% | 1 | x |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) |
3 calls:
| 1.0ms | (+.f64 x #s(literal 16 binary64)) |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | (+.f64 x #s(literal 16 binary64)) |
| 96.4% | 3 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 96.4% | 3 | x |
Compiled 9 to 9 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 1.0ms | (+.f64 x #s(literal 16 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 1 | (+.f64 x #s(literal 16 binary64)) |
| 56.1% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 56.1% | 1 | x |
Compiled 9 to 9 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 12.18413717043521 | 19202.314474008188 |
| 7.0ms | -34.79598346930856 | -4.054907265150418 |
| 7.0ms | 224× | 0 | valid |
Compiled 232 to 247 computations (-6.5% saved)
ival-div: 2.0ms (60.9% of total)ival-add: 1.0ms (30.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 47 |
| 1 | 26 | 47 |
| 2 | 27 | 47 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(if (<=.f64 x #s(literal -16 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 x #s(literal 16 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)))) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))) |
(if (<=.f64 x #s(literal -16 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 x #s(literal 16 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)))) |
(if (or (<=.f64 x #s(literal -16 binary64)) (not (<=.f64 x #s(literal 16 binary64)))) #s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))) |
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) |
| 1× | fuel |
Compiled 47 to 22 computations (53.2% saved)
Compiled 104 to 54 computations (48.1% saved)
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