
Time bar (total: 5.4s)
| 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 11 to 11 computations (0% saved)
| 470.0ms | 8 249× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 2× | 1 | valid |
ival-div: 180.0ms (60.4% of total)ival-mult: 61.0ms (20.5% of total)ival-add: 36.0ms (12.1% of total)exact: 13.0ms (4.4% of total)ival-true: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 108 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 841 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 29 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 |
| 32.0ms | 510× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 63 to 31 computations (50.8% saved)
ival-div: 7.0ms (49.1% of total)ival-mult: 3.0ms (21% of total)ival-add: 2.0ms (14% of total)exact: 1.0ms (7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 13 |
| 1 | 27 | 10 |
| 2 | 58 | 10 |
| 3 | 103 | 10 |
| 4 | 142 | 10 |
| 5 | 156 | 10 |
| 6 | 165 | 10 |
| 0 | 9 | 5 |
| 0 | 15 | 5 |
| 1 | 17 | 5 |
| 0 | 17 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| cost-diff | 2 | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 0 | 15 | 15 |
| 1 | 17 | 15 |
| 0 | 17 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
#s(literal 841 binary64) |
#s(literal 108 binary64) |
x |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
#s(literal 4 binary64) |
#s(literal 29 binary64) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
(*.f64 x #s(literal 841/108 binary64)) |
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
#s(literal 841/108 binary64) |
#s(literal 841 binary64) |
#s(literal 108 binary64) |
x |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 4 binary64) |
#s(literal 29 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| accuracy | 0.015625 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 21.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 4.0ms (56.4% of total)ival-mult: 2.0ms (28.2% of total)ival-add: 1.0ms (14.1% 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 |
|---|
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x)) |
| 1.0ms | x | @ | -inf | ((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x)) |
| 0.0ms | x | @ | 0 | ((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 24 | 14 |
| 2 | 37 | 14 |
| 3 | 49 | 14 |
| 4 | 49 | 14 |
| 5 | 64 | 14 |
| 6 | 70 | 14 |
| 7 | 74 | 14 |
| 8 | 74 | 14 |
| 0 | 74 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 157 | 10 |
| 3 | 1227 | 10 |
| 0 | 8342 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| Outputs |
|---|
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (*.f64 #s(literal 29/27 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 29/27 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(literal 64/24389 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64)) |
(+.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64)) |
(*.f64 x #s(literal 841/108 binary64)) |
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 841/108 binary64) x) |
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))) |
Compiled 13 688 to 911 computations (93.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 452 | 5 | 457 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 453 | 5 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
| ▶ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ▶ | 60.9% | (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
| ▶ | 79.0% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ▶ | 50.7% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 128 to 112 computations (12.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| cost-diff | 1 | (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| cost-diff | 5 | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 177 |
| 0 | 69 | 169 |
| 1 | 117 | 169 |
| 2 | 206 | 169 |
| 3 | 523 | 169 |
| 4 | 1538 | 169 |
| 5 | 3797 | 169 |
| 6 | 4995 | 169 |
| 7 | 6649 | 169 |
| 0 | 8195 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
#s(literal -16/841 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
x |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
#s(literal 707281/11664 binary64) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 353814783205469041/1586874322944 binary64) |
#s(literal -4096/594823321 binary64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 594823321/1259712 binary64) |
#s(literal -64/24389 binary64) |
(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
#s(literal 707281/11664 binary64) |
#s(literal -29/27 binary64) |
#s(literal 16/841 binary64) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
#s(literal -16/841 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
x |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
#s(literal 707281/11664 binary64) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
#s(literal 353814783205469041/1586874322944 binary64) |
#s(literal -4096/594823321 binary64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) |
(fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 594823321/1259712 binary64) |
#s(literal -64/24389 binary64) |
(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
#s(literal 707281/11664 binary64) |
#s(literal -29/27 binary64) |
#s(literal 16/841 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) | |
| accuracy | 0.8054511722130435 | (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) | |
| accuracy | 23.676485731092395 | (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) | |
| accuracy | 0.07421875 | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) | |
| accuracy | 0.1328125 | (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| accuracy | 0.27867128907376804 | (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| accuracy | 0.06640625 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| accuracy | 0.2109375 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 13.43090602570064 | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 31.55758693861527 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 403.0ms | 253× | 0 | valid |
| 2.0ms | 3× | 1 | valid |
Compiled 207 to 51 computations (75.4% saved)
const: 278.0ms (72% of total)ival-mult: 78.0ms (20.2% of total)ival-add: 11.0ms (2.9% of total)ival-div: 10.0ms (2.6% of total)ival-pow: 8.0ms (2.1% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-4/29 |
(- (* 841/108 x) 4/29) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -29/4 x) |
(* x (- (* -707281/1728 x) 29/4)) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
-4096/594823321 |
(- (* 353814783205469041/1586874322944 (pow x 6)) 4096/594823321) |
(pow x 6) |
-1024/20511149 |
(- (* 64/22707 x) 1024/20511149) |
(- (* x (+ 64/22707 (* -116/729 x))) 1024/20511149) |
(- (* x (+ 64/22707 (* x (- (* 707281/78732 x) 116/729)))) 1024/20511149) |
(- (* -841/108 x) 4/29) |
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29) |
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(/ -1728/707281 x) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
108/841 |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(* 353814783205469041/1586874322944 (pow x 6)) |
(* (pow x 6) (- 353814783205469041/1586874322944 (* 4096/594823321 (/ 1 (pow x 6))))) |
(* 420707233300201/14693280768 (pow x 5)) |
(* (pow x 5) (- 420707233300201/14693280768 (* 17249876309/34012224 (/ 1 x)))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (* 17249876309/34012224 (/ 1 x)))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (+ (* 17249876309/34012224 (/ 1 x)) (* 116/729 (/ 1 (pow x 3)))))) |
(/ 1728/707281 x) |
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(* -1 (* (pow x 5) (- (* 17249876309/34012224 (/ 1 x)) 420707233300201/14693280768))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 707281/78732 (/ 1 x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 116/729 (/ 1 x)) 707281/78732) x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x)) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (/ (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841))) (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (pow x 6) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (/ -16/841 (+ (* -841/108 x) 4/29)) (+ (* 707281/11664 x) -29/27) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) |
| 6.0ms | x | @ | inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (/ (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841))) (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (pow x 6) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (/ -16/841 (+ (* -841/108 x) 4/29)) (+ (* 707281/11664 x) -29/27) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) |
| 4.0ms | x | @ | 0 | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (/ (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841))) (+ (* (pow x 6) 353814783205469041/1586874322944) -4096/594823321) (pow x 6) (* (+ (* (pow x 3) 594823321/1259712) -64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (/ -16/841 (+ (* -841/108 x) 4/29)) (+ (* 707281/11664 x) -29/27) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 621 |
| 1 | 683 | 607 |
| 2 | 1580 | 596 |
| 3 | 3459 | 588 |
| 4 | 7666 | 588 |
| 0 | 8432 | 537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-4/29 |
(- (* 841/108 x) 4/29) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -29/4 x) |
(* x (- (* -707281/1728 x) 29/4)) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
-4096/594823321 |
(- (* 353814783205469041/1586874322944 (pow x 6)) 4096/594823321) |
(pow x 6) |
-1024/20511149 |
(- (* 64/22707 x) 1024/20511149) |
(- (* x (+ 64/22707 (* -116/729 x))) 1024/20511149) |
(- (* x (+ 64/22707 (* x (- (* 707281/78732 x) 116/729)))) 1024/20511149) |
(- (* -841/108 x) 4/29) |
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29) |
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(/ -1728/707281 x) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
108/841 |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(* 353814783205469041/1586874322944 (pow x 6)) |
(* (pow x 6) (- 353814783205469041/1586874322944 (* 4096/594823321 (/ 1 (pow x 6))))) |
(* 420707233300201/14693280768 (pow x 5)) |
(* (pow x 5) (- 420707233300201/14693280768 (* 17249876309/34012224 (/ 1 x)))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (* 17249876309/34012224 (/ 1 x)))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (+ (* 17249876309/34012224 (/ 1 x)) (* 116/729 (/ 1 (pow x 3)))))) |
(/ 1728/707281 x) |
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(* -1 (* (pow x 5) (- (* 17249876309/34012224 (/ 1 x)) 420707233300201/14693280768))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 707281/78732 (/ 1 x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 116/729 (/ 1 x)) 707281/78732) x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x)) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
-16/841 |
#s(literal -16/841 binary64) |
(- (* 707281/11664 (pow x 2)) 16/841) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(* 707281/11664 x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- (* 841/108 x) 4/29) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(* -20511149/46656 x) |
(*.f64 #s(literal -20511149/46656 binary64) x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(* -29/4 x) |
(*.f64 #s(literal -29/4 binary64) x) |
(* x (- (* -707281/1728 x) 29/4)) |
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal -29/4 binary64)) x) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal -707281/1728 binary64)) x #s(literal -29/4 binary64)) x) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal -707281/1728 binary64)) x #s(literal -29/4 binary64)) x) |
-4096/594823321 |
#s(literal -4096/594823321 binary64) |
(- (* 353814783205469041/1586874322944 (pow x 6)) 4096/594823321) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
-1024/20511149 |
#s(literal -1024/20511149 binary64) |
(- (* 64/22707 x) 1024/20511149) |
(fma.f64 #s(literal 64/22707 binary64) x #s(literal -1024/20511149 binary64)) |
(- (* x (+ 64/22707 (* -116/729 x))) 1024/20511149) |
(fma.f64 (fma.f64 #s(literal -116/729 binary64) x #s(literal 64/22707 binary64)) x #s(literal -1024/20511149 binary64)) |
(- (* x (+ 64/22707 (* x (- (* 707281/78732 x) 116/729)))) 1024/20511149) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 707281/78732 binary64) x #s(literal -116/729 binary64)) x #s(literal 64/22707 binary64)) x #s(literal -1024/20511149 binary64)) |
(- (* -841/108 x) 4/29) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
(- (* x (- (* -20511149/46656 x) 841/108)) 4/29) |
(fma.f64 (fma.f64 #s(literal -20511149/46656 binary64) x #s(literal -841/108 binary64)) x #s(literal -4/29 binary64)) |
(- (* x (- (* x (- (* -500246412961/20155392 x) 20511149/46656)) 841/108)) 4/29) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x #s(literal -841/108 binary64)) x #s(literal -4/29 binary64)) |
-29/27 |
#s(literal -29/27 binary64) |
(- (* 707281/11664 x) 29/27) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* -29/27 x)) |
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(/ -1728/707281 x) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x) |
841/108 |
#s(literal 841/108 binary64) |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal 4/29 binary64) x)) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal 4/29 binary64) x))) |
108/841 |
#s(literal 108/841 binary64) |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) #s(literal 108/841 binary64)) (/.f64 #s(literal 46656/20511149 binary64) x)) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 108/841 binary64)) (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) (/.f64 #s(literal 46656/20511149 binary64) x))) |
(* 353814783205469041/1586874322944 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64)) |
(* (pow x 6) (- 353814783205469041/1586874322944 (* 4096/594823321 (/ 1 (pow x 6))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(* 420707233300201/14693280768 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 420707233300201/14693280768 binary64)) |
(* (pow x 5) (- 420707233300201/14693280768 (* 17249876309/34012224 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -17249876309/34012224 binary64) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (* 17249876309/34012224 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 707281/78732 binary64) x) #s(literal 17249876309/34012224 binary64)) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 420707233300201/14693280768 (/ 707281/78732 (pow x 2))) (+ (* 17249876309/34012224 (/ 1 x)) (* 116/729 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -17249876309/34012224 binary64) (/.f64 (-.f64 (/.f64 #s(literal 116/729 binary64) x) #s(literal 707281/78732 binary64)) x)) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ 1728/707281 x) |
(/.f64 #s(literal 1728/707281 binary64) x) |
(/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) #s(literal 1728/707281 binary64)) x) |
(/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (+ (* 746496/17249876309 (/ 1 x)) (* 139314069504/10260628712958602189 (/ 1 (pow x 3)))))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64))) x) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x)) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x)) |
(* -1 (* (pow x 5) (- (* 17249876309/34012224 (/ 1 x)) 420707233300201/14693280768))) |
(*.f64 (-.f64 (/.f64 #s(literal -17249876309/34012224 binary64) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 707281/78732 (/ 1 x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 707281/78732 binary64) x) #s(literal 17249876309/34012224 binary64)) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 116/729 (/ 1 x)) 707281/78732) x)) 17249876309/34012224) x)) 420707233300201/14693280768))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -17249876309/34012224 binary64) (/.f64 (-.f64 (/.f64 #s(literal 116/729 binary64) x) #s(literal 707281/78732 binary64)) x)) x) #s(literal -420707233300201/14693280768 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 746496/17249876309 (+ (/ 139314069504/10260628712958602189 (pow x 2)) (* 322486272/420707233300201 (/ 1 x)))) x)) 1728/707281) x)) |
(/.f64 (-.f64 #s(literal 1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x)) x) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 134 |
| 0 | 69 | 124 |
| 1 | 278 | 118 |
| 2 | 2030 | 118 |
| 0 | 8479 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 125184900814733057351483732809459681/2518170116818978404827136 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -16777216/353814783205469041 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -68719476736/210457284365172120330305161 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 125184900814733057351483732809459681/2518170116818978404827136 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 16777216/353814783205469041 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -594823321/387420489 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
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(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(fma.f64 #s(literal 841/108 binary64) (*.f64 x (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(fma.f64 x (*.f64 #s(literal -841/108 binary64) (*.f64 #s(literal -841/108 binary64) x)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(fma.f64 x (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64)))) |
(+.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (*.f64 #s(literal -29/27 binary64) x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)) |
Compiled 28 219 to 3 000 computations (89.4% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 865 | 4 | 869 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 867 | 7 | 874 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
| ▶ | 49.2% | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 79.0% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ▶ | 27.9% | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ✓ | 50.7% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ▶ | 48.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 98 to 80 computations (18.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) | |
| cost-diff | 2 | (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 841/108 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 200 |
| 0 | 57 | 196 |
| 1 | 104 | 196 |
| 2 | 160 | 194 |
| 3 | 213 | 194 |
| 4 | 295 | 194 |
| 5 | 435 | 194 |
| 6 | 612 | 194 |
| 7 | 803 | 194 |
| 8 | 1146 | 194 |
| 9 | 1726 | 194 |
| 10 | 2249 | 194 |
| 11 | 3206 | 194 |
| 12 | 3661 | 194 |
| 13 | 3772 | 194 |
| 14 | 3848 | 194 |
| 15 | 3889 | 194 |
| 16 | 3898 | 194 |
| 17 | 4044 | 194 |
| 18 | 4362 | 194 |
| 19 | 4364 | 194 |
| 20 | 4364 | 194 |
| 21 | 4364 | 194 |
| 0 | 4364 | 191 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
x |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
x |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
#s(literal 707281/11664 binary64) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
#s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
#s(literal -1728/707281 binary64) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
#s(literal 16/841 binary64) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
| Outputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
x |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal -707281/11664 binary64) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
x |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
#s(literal 707281/11664 binary64) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
#s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
#s(literal -1728/707281 binary64) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal -707281/11664 binary64) (/.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 64/24389 binary64)) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
#s(literal 16/841 binary64) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) | |
| accuracy | 0.1328125 | (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) | |
| accuracy | 0.17578125 | (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) | |
| accuracy | 0.464691076782646 | (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) | |
| accuracy | 0.1328125 | (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| accuracy | 0.40625 | (/.f64 #s(literal -1728/707281 binary64) x) | |
| accuracy | 32.81941860735621 | #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) | |
| accuracy | 0.06640625 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.22995685605206537 | (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) | |
| accuracy | 13.43090602570064 | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 32.48901939447197 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) | |
| accuracy | 0.1015625 | (*.f64 #s(literal 841/108 binary64) x) | |
| accuracy | 32.486740474692276 | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
| 116.0ms | 253× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
| 1.0ms | 2× | 1 | valid |
Compiled 196 to 39 computations (80.1% saved)
const: 50.0ms (52.6% of total)ival-mult: 18.0ms (18.9% of total)ival-div: 16.0ms (16.8% of total)ival-add: 9.0ms (9.5% of total)ival-neg: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
#s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(pow x 2) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -29/4 x) |
(* x (- (* -707281/1728 x) 29/4)) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
-4/29 |
(- (* 841/108 x) 4/29) |
-1 |
(- (* -594823321/186624 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(/ -1728/707281 x) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
108/841 |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(/ 186624/594823321 (pow x 2)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x) (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) (/ x (+ (* 841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) |
| 2.0ms | x | @ | -inf | ((+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x) (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) (/ x (+ (* 841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) |
| 2.0ms | x | @ | 0 | ((+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x) (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) (/ x (+ (* 841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 522 |
| 1 | 509 | 517 |
| 2 | 1152 | 503 |
| 3 | 2476 | 495 |
| 4 | 5013 | 481 |
| 0 | 8154 | 441 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(pow x 2) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -29/4 x) |
(* x (- (* -707281/1728 x) 29/4)) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
-4/29 |
(- (* 841/108 x) 4/29) |
-1 |
(- (* -594823321/186624 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(/ -1728/707281 x) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
108/841 |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(/ 186624/594823321 (pow x 2)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
-16/841 |
#s(literal -16/841 binary64) |
(- (* 707281/11664 (pow x 2)) 16/841) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -20511149/46656 x) |
(*.f64 #s(literal -20511149/46656 binary64) x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(* -29/4 x) |
(*.f64 #s(literal -29/4 binary64) x) |
(* x (- (* -707281/1728 x) 29/4)) |
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal -29/4 binary64)) x) |
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal -707281/1728 binary64)) x #s(literal -29/4 binary64)) x) |
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal -707281/1728 binary64)) x #s(literal -29/4 binary64)) x) |
-4/29 |
#s(literal -4/29 binary64) |
(- (* 841/108 x) 4/29) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -594823321/186624 (pow x 2)) 1) |
(fma.f64 #s(literal -594823321/186624 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(fma.f64 (fma.f64 #s(literal -353814783205469041/34828517376 binary64) (*.f64 x x) #s(literal -594823321/186624 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -210457284365172120330305161/6499837226778624 binary64) (*.f64 x x) #s(literal -353814783205469041/34828517376 binary64)) (*.f64 x x) #s(literal -594823321/186624 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(/ -1728/707281 x) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(* -20511149/46656 (pow x 2)) |
(*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
841/108 |
#s(literal 841/108 binary64) |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64)) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64)) |
108/841 |
#s(literal 108/841 binary64) |
(+ 108/841 (* 46656/20511149 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) |
(-.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) #s(literal 108/841 binary64)) (/.f64 #s(literal -46656/20511149 binary64) x)) |
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 108/841 binary64)) (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) (/.f64 #s(literal -46656/20511149 binary64) x))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(/ 186624/594823321 (pow x 2)) |
(/.f64 #s(literal 186624/594823321 binary64) (*.f64 x x)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)) #s(literal 186624/594823321 binary64)) x) x) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6499837226778624/210457284365172120330305161 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)) #s(literal 186624/594823321 binary64))) (*.f64 x x)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1213025622610333925376/125184900814733057351483732809459681 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 186624/594823321 binary64)) (+.f64 (/.f64 #s(literal 6499837226778624/210457284365172120330305161 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)))) (*.f64 x x)) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64)) |
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) |
(-.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 167 |
| 0 | 57 | 163 |
| 1 | 254 | 158 |
| 2 | 1622 | 158 |
| 0 | 8234 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
#s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) |
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) |
| Outputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(*.f64 x #s(literal 841/108 binary64)) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(*.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 (*.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) |
(/.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(neg.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) #s(literal -1 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -841/108 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) x) #s(literal -841/108 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x) |
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64)) |
(*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x)) |
(*.f64 #s(literal -841/108 binary64) (*.f64 x (*.f64 #s(literal -841/108 binary64) x))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) (*.f64 x (*.f64 #s(literal 841/108 binary64) x))) |
(*.f64 x (*.f64 #s(literal -841/108 binary64) (*.f64 #s(literal -841/108 binary64) x))) |
(*.f64 x (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x))) |
(*.f64 x (*.f64 #s(literal 707281/11664 binary64) x)) |
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -841/108 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64)) (pow.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) #s(literal 3 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) (-.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64)) (pow.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) (-.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) #s(literal 3 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)))) |
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(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) x)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(*.f64 #s(literal 707281/11664 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x)) |
(*.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(*.f64 x (*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 707281/11664 binary64) x))) |
(*.f64 x (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 707281/11664 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 707281/11664 binary64) x))) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 707281/11664 binary64) x)) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 707281/11664 binary64) x)) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (neg.f64 x)) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) x)) |
Compiled 37 201 to 2 867 computations (92.3% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 939 | 2 | 941 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 3 | 3 |
| Total | 941 | 7 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.0% | (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
| ✓ | 49.2% | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 79.0% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ▶ | 27.9% | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ✓ | 50.7% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ✓ | 48.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 108 to 89 computations (17.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) | |
| cost-diff | 1 | (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 147 |
| 0 | 48 | 143 |
| 1 | 80 | 143 |
| 2 | 136 | 143 |
| 3 | 196 | 143 |
| 4 | 217 | 143 |
| 5 | 230 | 143 |
| 6 | 232 | 143 |
| 0 | 232 | 142 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
#s(literal 16/841 binary64) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
#s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) |
#s(literal -500246412961/20155392 binary64) |
#s(literal -20511149/46656 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(*.f64 x #s(literal 707281/11664 binary64)) |
#s(literal 707281/11664 binary64) |
x |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(+.f64 (/.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
#s(literal 16/841 binary64) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
#s(literal -16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
#s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) |
#s(literal -500246412961/20155392 binary64) |
#s(literal -20511149/46656 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) | |
| accuracy | 0.18359375 | (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) | |
| accuracy | 0.464691076782646 | (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) | |
| accuracy | 31.85208972268734 | #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) | |
| accuracy | 0.2109375 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 13.43090602570064 | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 32.73163471185998 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
| 185.0ms | 256× | 0 | valid |
Compiled 130 to 34 computations (73.8% saved)
const: 136.0ms (78.9% of total)ival-mult: 24.0ms (13.9% of total)ival-add: 7.0ms (4.1% of total)ival-div: 5.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
#s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(* 707281/11664 x) |
-1 |
(- (* -594823321/186624 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(pow x 2) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(/ 186624/594823321 (pow x 2)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(* -500246412961/20155392 (pow x 2)) |
(* -1 (* (pow x 2) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -500246412961/20155392 (pow x 3)) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* 707281/11664 x) x) (* 707281/11664 x) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (* (+ (* -500246412961/20155392 x) -20511149/46656) x) (* (* (+ (* -500246412961/20155392 x) -20511149/46656) x) x)) |
| 2.0ms | x | @ | -inf | ((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* 707281/11664 x) x) (* 707281/11664 x) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (* (+ (* -500246412961/20155392 x) -20511149/46656) x) (* (* (+ (* -500246412961/20155392 x) -20511149/46656) x) x)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* 707281/11664 x) x) (* 707281/11664 x) (+ (* (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* -841/108 x) -4/29)) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x)) (/ 16/841 (+ (* (* x x) 707281/11664) -16/841)) (+ (* (* x x) 707281/11664) -16/841) (* x x) (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (* (+ (* -500246412961/20155392 x) -20511149/46656) x) (* (* (+ (* -500246412961/20155392 x) -20511149/46656) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 280 |
| 1 | 286 | 280 |
| 2 | 729 | 272 |
| 3 | 1740 | 264 |
| 4 | 3480 | 264 |
| 5 | 7338 | 264 |
| 0 | 8163 | 239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(* 707281/11664 x) |
-1 |
(- (* -594823321/186624 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(pow x 2) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(/ 186624/594823321 (pow x 2)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(* -500246412961/20155392 (pow x 2)) |
(* -1 (* (pow x 2) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -500246412961/20155392 (pow x 3)) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
-16/841 |
#s(literal -16/841 binary64) |
(- (* 707281/11664 (pow x 2)) 16/841) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(* 707281/11664 x) |
(*.f64 x #s(literal 707281/11664 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -594823321/186624 (pow x 2)) 1) |
(fma.f64 #s(literal -594823321/186624 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* -353814783205469041/34828517376 (pow x 2)) 594823321/186624)) 1) |
(fma.f64 (fma.f64 #s(literal -353814783205469041/34828517376 binary64) (*.f64 x x) #s(literal -594823321/186624 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -210457284365172120330305161/6499837226778624 (pow x 2)) 353814783205469041/34828517376)) 594823321/186624)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -210457284365172120330305161/6499837226778624 binary64) (*.f64 x x) #s(literal -353814783205469041/34828517376 binary64)) (*.f64 x x) #s(literal -594823321/186624 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -20511149/46656 (pow x 2)) |
(*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) x) |
(* -20511149/46656 x) |
(*.f64 #s(literal -20511149/46656 binary64) x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(/ 186624/594823321 (pow x 2)) |
(/.f64 #s(literal 186624/594823321 binary64) (*.f64 x x)) |
(/ (+ 186624/594823321 (* 34828517376/353814783205469041 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)) #s(literal 186624/594823321 binary64)) x) x) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (* 34828517376/353814783205469041 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 6499837226778624/210457284365172120330305161 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)) #s(literal 186624/594823321 binary64))) (*.f64 x x)) |
(/ (+ 186624/594823321 (+ (/ 6499837226778624/210457284365172120330305161 (pow x 4)) (+ (* 34828517376/353814783205469041 (/ 1 (pow x 2))) (* 1213025622610333925376/125184900814733057351483732809459681 (/ 1 (pow x 6)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1213025622610333925376/125184900814733057351483732809459681 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 186624/594823321 binary64)) (+.f64 (/.f64 #s(literal 6499837226778624/210457284365172120330305161 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 34828517376/353814783205469041 binary64) (*.f64 x x)))) (*.f64 x x)) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -1728/707281 binary64) x))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(* -500246412961/20155392 (pow x 2)) |
(*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) |
(* -1 (* (pow x 2) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(* -500246412961/20155392 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -500246412961/20155392 binary64)) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) (*.f64 x x)) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x (-.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -1728/707281 binary64) x))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 123 |
| 0 | 48 | 119 |
| 1 | 197 | 119 |
| 2 | 1229 | 113 |
| 0 | 8826 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 x x) |
#s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(*.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)))) |
(/.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(neg.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -20511149/46656 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (-.f64 (*.f64 (*.f64 x #s(literal -20511149/46656 binary64)) (*.f64 x #s(literal -20511149/46656 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 x #s(literal -20511149/46656 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -20511149/46656 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -20511149/46656 binary64)) (*.f64 x #s(literal -20511149/46656 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) (*.f64 (*.f64 x #s(literal -20511149/46656 binary64)) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x)) (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) x)) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)))) (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)))) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) x) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64))) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64))) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))) (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) (*.f64 x (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))) (*.f64 x (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)))) |
(fma.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x (*.f64 #s(literal -20511149/46656 binary64) x)) |
(fma.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x (*.f64 x #s(literal -20511149/46656 binary64))) |
(fma.f64 #s(literal -20511149/46656 binary64) x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) |
(fma.f64 (*.f64 x x) #s(literal -500246412961/20155392 binary64) (*.f64 #s(literal -20511149/46656 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -500246412961/20155392 binary64) (*.f64 x #s(literal -20511149/46656 binary64))) |
(fma.f64 x (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 #s(literal -20511149/46656 binary64) x)) |
(fma.f64 x (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 x #s(literal -20511149/46656 binary64))) |
(fma.f64 x #s(literal -20511149/46656 binary64) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 #s(literal -20511149/46656 binary64) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 x #s(literal -20511149/46656 binary64))) |
(+.f64 (*.f64 #s(literal -20511149/46656 binary64) x) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) |
(+.f64 (*.f64 x #s(literal -20511149/46656 binary64)) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64))) (pow.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64))) (pow.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x) x) (pow.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64))) |
(*.f64 x (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x) x)) (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x) x) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) (*.f64 x x)) (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) #s(literal -420707233300201/2176782336 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 250246473680347348787521/406239826673664 binary64) (*.f64 x x) (-.f64 #s(literal 420707233300201/2176782336 binary64) (*.f64 #s(literal 10260628712958602189/940369969152 binary64) x))) (*.f64 (fma.f64 #s(literal -125184900814733057351483732809459681/8187922952619753996288 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -8629188747598184440949/101559956668416 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x (*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x (*.f64 (*.f64 x #s(literal -20511149/46656 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x)) |
(fma.f64 (*.f64 x #s(literal -20511149/46656 binary64)) x (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x)) |
(fma.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 x x) (*.f64 #s(literal -20511149/46656 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -20511149/46656 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -20511149/46656 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -500246412961/20155392 binary64) x))) |
(fma.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 x (*.f64 #s(literal -20511149/46656 binary64) x))) |
(fma.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) (*.f64 x (*.f64 x #s(literal -20511149/46656 binary64)))) |
(fma.f64 x (*.f64 #s(literal -20511149/46656 binary64) x) (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x))) |
(fma.f64 x (*.f64 x #s(literal -20511149/46656 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x))) |
(+.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 x x)) (*.f64 #s(literal -20511149/46656 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -20511149/46656 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x) (*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x) (*.f64 (*.f64 x #s(literal -20511149/46656 binary64)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x)) |
(+.f64 (*.f64 (*.f64 x #s(literal -20511149/46656 binary64)) x) (*.f64 (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x) x)) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal -500246412961/20155392 binary64) x)) (*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -500246412961/20155392 binary64) x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) (*.f64 x (*.f64 #s(literal -20511149/46656 binary64) x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x)) (*.f64 x (*.f64 x #s(literal -20511149/46656 binary64)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -20511149/46656 binary64) x)) (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -20511149/46656 binary64))) (*.f64 x (*.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) x))) |
Compiled 17 528 to 1 384 computations (92.1% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 0 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 399 | 7 | 406 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.0% | (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
| ✓ | 49.2% | (fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 79.0% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ✓ | 27.9% | (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| ✓ | 50.7% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ✓ | 48.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 304 to 188 computations (38.2% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (* (* (/ x (+ (* 841/108 x) -4/29)) 707281/11664) x) (*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) x))) |
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
3 calls:
| 4.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 4.0ms | x |
| 3.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
Compiled 15 to 15 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
3 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 3 | x |
| 95.8% | 3 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 95.8% | 3 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
Compiled 15 to 15 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
3 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 1.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | x |
| 50.7% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 50.7% | 1 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
Compiled 15 to 15 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.041768911218347686 | 11908.589763214393 |
| 0.0ms | -10.28232665291027 | -0.03970862881482235 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 44 |
| 1 | 31 | 44 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -10 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)))) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -10 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)))) |
(if (or (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -10 binary64)) (not (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/72057594037927936 binary64)))) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 621 |
| 1 | 683 | 607 |
| 2 | 1580 | 596 |
| 3 | 3459 | 588 |
| 4 | 7666 | 588 |
| 0 | 8432 | 537 |
| 0 | 10 | 14 |
| 1 | 24 | 14 |
| 2 | 37 | 14 |
| 3 | 49 | 14 |
| 4 | 49 | 14 |
| 5 | 64 | 14 |
| 6 | 70 | 14 |
| 7 | 74 | 14 |
| 8 | 74 | 14 |
| 0 | 74 | 12 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 157 | 10 |
| 3 | 1227 | 10 |
| 0 | 8342 | 9 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 115 to 61 computations (47% saved)
Compiled 130 to 70 computations (46.2% saved)
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