
Time bar (total: 3.2s)
| 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)
| 332.0ms | 8 249× | 0 | valid |
| 0.0ms | 4× | 2 | valid |
| 0.0ms | 3× | 1 | valid |
ival-div: 106.0ms (50.9% of total)ival-mult: 48.0ms (23% of total)ival-add: 33.0ms (15.8% of total)exact: 13.0ms (6.2% of total)ival-true: 6.0ms (2.9% of total)ival-assert: 3.0ms (1.4% 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 |
| 26.0ms | 512× | 0 | valid |
Compiled 113 to 63 computations (44.2% saved)
ival-div: 7.0ms (51.7% of total)ival-mult: 3.0ms (22.1% of total)ival-add: 2.0ms (14.8% of total)exact: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 | 140 | 10 |
| 5 | 153 | 10 |
| 6 | 161 | 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 |
|---|---|---|
| ▶ | 99.8% | (+.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 | 128 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| cost-diff | 704 | (/.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 | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| accuracy | 0.01953125 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 13.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-div: 3.0ms (45.7% of total)ival-add: 1.0ms (15.2% of total)ival-mult: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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)) |
| 0.0ms | 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 | 1219 | 10 |
| 0 | 8380 | 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)) #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 (*.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)))) (/.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 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 (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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x 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)))) |
(*.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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #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)) (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 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #s(literal -29/27 binary64) x #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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #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)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 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 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 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)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #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)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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)) #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 (pow.f64 (/.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 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (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))) |
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(-.f64 #s(literal 0 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 -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 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (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 x #s(literal 841/108 binary64) #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 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 5 562 to 654 computations (88.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 10 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 215 | 10 | 225 |
| Status | Accuracy | Program |
|---|---|---|
| 73.2% | (fma.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| ▶ | 99.6% | (fma.f64 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) |
| ▶ | 99.9% | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
| 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) | |
| ▶ | 75.1% | (/.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))) |
| 65.8% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))) | |
| 75.1% | (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) | |
| ▶ | 99.8% | (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
| ▶ | 49.8% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 284 to 216 computations (23.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 #s(literal -16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 | (*.f64 x #s(literal 841/108 binary64)) | |
| cost-diff | 128 | (-.f64 (*.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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 174 |
| 0 | 59 | 174 |
| 1 | 96 | 174 |
| 2 | 155 | 174 |
| 3 | 195 | 174 |
| 4 | 214 | 174 |
| 5 | 225 | 174 |
| 6 | 235 | 174 |
| 0 | 235 | 170 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.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) |
#s(literal 4/29 binary64) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#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) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(*.f64 x #s(literal 841/108 binary64)) |
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))) |
(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 (/.f64 #s(literal -16/841 binary64) (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)) (*.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 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
#s(literal -16/841 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 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
(*.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 707281/11664 binary64) x) |
#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) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(fma.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)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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 #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) |
#s(literal 4/29 binary64) |
(/.f64 #s(literal -16/841 binary64) (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))) |
#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) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(-.f64 (*.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)) |
(*.f64 x #s(literal 841/108 binary64)) |
(*.f64 #s(literal 841/108 binary64) x) |
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 (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 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) |
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 x x) (/.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 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
#s(literal -16/841 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 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal -4/29 binary64) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 x x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#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) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 0.15625 | (*.f64 #s(literal -707281/11664 binary64) x) | |
| accuracy | 0.18918556939746872 | (/.f64 #s(literal -16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.15625 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 15.939477165043074 | (/.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 | 0.01953125 | (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) | |
| accuracy | 0.16796875 | (*.f64 x #s(literal 841/108 binary64)) | |
| accuracy | 32.09606028093732 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| accuracy | 0.2858200195368841 | (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
| 72.0ms | 250× | 0 | valid |
| 3.0ms | 4× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 378 to 78 computations (79.4% saved)
const: 22.0ms (37.3% of total)ival-mult: 16.0ms (27.2% of total)ival-div: 11.0ms (18.7% of total)ival-add: 8.0ms (13.6% of total)adjust: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(*.f64 x #s(literal 841/108 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 (/.f64 #s(literal -16/841 binary64) (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)) (*.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 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(*.f64 #s(literal -707281/11664 binary64) x) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-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) |
16/841 |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(* -707281/11664 x) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 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)))) |
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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* 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)) |
(* -707281/11664 (pow x 2)) |
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(/ -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) |
(* 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))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 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)) |
(* -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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 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) (+ (* (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* -841/108 x) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (/ -16/841 (+ (* x 841/108) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) |
| 4.0ms | x | @ | 0 | ((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 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) (+ (* (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* -841/108 x) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (/ -16/841 (+ (* x 841/108) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) |
| 3.0ms | x | @ | -inf | ((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 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) (+ (* (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* -841/108 x) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) (/ -16/841 (+ (* (* -707281/11664 x) x) 16/841)) (+ (* (* -707281/11664 x) x) 16/841) (* -707281/11664 x) (/ -16/841 (+ (* x 841/108) -4/29)) (* (* 707281/11664 x) (/ x (+ (* x 841/108) -4/29)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 563 |
| 1 | 566 | 558 |
| 2 | 1280 | 542 |
| 3 | 2672 | 534 |
| 4 | 5291 | 516 |
| 0 | 8122 | 471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-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) |
16/841 |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(* -707281/11664 x) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 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)))) |
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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* 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)) |
(* -707281/11664 (pow x 2)) |
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(/ -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) |
(* 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))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 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)) |
(* -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)) |
(* -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 (+ 29/4 (* 707281/1728 x))) |
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(*.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 (* -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 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)) |
-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)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(* -707281/11664 x) |
(*.f64 #s(literal -707281/11664 binary64) x) |
(+ 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 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64)) |
(* (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)) |
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) |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x)) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(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)) |
(/ 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)) |
(* -707281/11664 (pow x 2)) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 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) |
(* 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)) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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) |
(* -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 | 36 | 129 |
| 0 | 59 | 123 |
| 1 | 231 | 123 |
| 2 | 1901 | 123 |
| 0 | 8462 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(*.f64 x #s(literal 841/108 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 (/.f64 #s(literal -16/841 binary64) (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)) (*.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 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(*.f64 #s(literal -707281/11664 binary64) x) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.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 -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -3 binary64)) #s(literal -4096/594823321 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.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 -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -3 binary64)) #s(literal -4096/594823321 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.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 -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -3 binary64)) #s(literal -4096/594823321 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) (-.f64 (*.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 -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (*.f64 (-.f64 (*.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 -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.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 -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 #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 (fma.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)) #s(literal -841/16 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.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)) #s(literal -841/16 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal 16/841 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -16/841 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -16/841 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (neg.f64 x)) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (neg.f64 x)) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) |
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(/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)))) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)))) |
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(/.f64 (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 16/841 binary64)) |
(-.f64 (/.f64 #s(literal 256/707281 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) #s(literal 16/841 binary64)) |
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x)) |
(*.f64 #s(literal -707281/11664 binary64) x) |
(*.f64 x #s(literal -707281/11664 binary64)) |
(*.f64 (/.f64 #s(literal -16/841 binary64) (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))) |
(*.f64 (/.f64 #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 #s(literal 707281/11664 binary64) x) x (-.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)) #s(literal -16/841 binary64)) |
(*.f64 #s(literal 1 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) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 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(literal -841/16 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(literal -841/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 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(literal -841/16 binary64))) |
(/.f64 #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 #s(literal 16/841 binary64) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (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))) |
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
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(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (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))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 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 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #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 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) #s(literal -1 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 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) 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 #s(literal 707281/11664 binary64) x) x)) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x))) |
(/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (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 39 451 to 3 161 computations (92% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 001 | 4 | 1 005 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 005 | 10 | 1 015 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (fma.f64 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) |
| 99.4% | (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| ▶ | 97.4% | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
| ▶ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 75.1% | (/.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))) |
| ▶ | 75.1% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
| ▶ | 26.0% | (/.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))) |
| ▶ | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
| ✓ | 99.8% | (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
| ✓ | 49.8% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 208 to 174 computations (16.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #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)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) | |
| cost-diff | 128 | (-.f64 (*.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 -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) | |
| cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) | |
| 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 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 164 |
| 0 | 53 | 158 |
| 1 | 79 | 158 |
| 2 | 103 | 158 |
| 3 | 122 | 158 |
| 4 | 126 | 158 |
| 5 | 165 | 158 |
| 6 | 178 | 158 |
| 7 | 190 | 158 |
| 0 | 190 | 158 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(/.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) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (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)) |
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)) (-.f64 (*.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) |
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.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) |
#s(literal 4/29 binary64) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 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) |
(/.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 #s(literal 707281/11664 binary64) x) x)) (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(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(*.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) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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 -1 binary64) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) |
(/.f64 #s(literal -1 binary64) (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)) |
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)) (-.f64 (*.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))) |
(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) |
(-.f64 (*.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)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(fma.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) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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 #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) |
#s(literal 4/29 binary64) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) | |
| accuracy | 0.13671875 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| accuracy | 0.2858200195368841 | (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) | |
| accuracy | 31.982562100047133 | #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| accuracy | 0.15625 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 0.16796875 | (*.f64 #s(literal 841/108 binary64) x) | |
| accuracy | 15.939477165043074 | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) | |
| accuracy | 0.09375 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) | |
| accuracy | 0.15625 | (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) | |
| accuracy | 0.203125 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.2172431629987867 | (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) | |
| accuracy | 15.939477165043074 | (/.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 | 31.420301935919213 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) | |
| accuracy | 0.09375 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 63.0ms | 250× | 0 | valid |
| 3.0ms | 4× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 335 to 69 computations (79.4% saved)
const: 20.0ms (39.7% of total)ival-mult: 13.0ms (25.8% of total)ival-div: 9.0ms (17.9% of total)ival-add: 6.0ms (11.9% of total)ival-sub: 1.0ms (2% 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 |
|---|
(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))) |
#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) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) |
(-.f64 (*.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)) (-.f64 (*.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) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(pow x 2) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
-4/29 |
(- (* 841/108 x) 4/29) |
(* 707281/11664 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* 841/108 x) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(/ -108/841 x) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(* x (- 841/108 (* 4/29 (/ 1 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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(/ -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) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* x 841/108) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (- (* 841/108 x) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (- (* 841/108 x) 4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* x 841/108) -4/29) (* 841/108 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 2.0ms | x | @ | -inf | ((+ (* x 841/108) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (- (* 841/108 x) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (- (* 841/108 x) 4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* x 841/108) -4/29) (* 841/108 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 2.0ms | x | @ | 0 | ((+ (* x 841/108) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (- (* 841/108 x) 4/29) (/ (+ (* (* 707281/11664 x) x) -16/841) (- (* 841/108 x) 4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* x 841/108) -4/29) (* 841/108 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 446 |
| 1 | 556 | 429 |
| 2 | 1224 | 423 |
| 3 | 2435 | 419 |
| 4 | 5122 | 415 |
| 0 | 8225 | 382 |
| 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)) |
(pow x 2) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
-4/29 |
(- (* 841/108 x) 4/29) |
(* 707281/11664 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* 841/108 x) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(/ -108/841 x) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(* x (- 841/108 (* 4/29 (/ 1 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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(/ -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) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -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)) |
| 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)) |
(pow x 2) |
(*.f64 x x) |
-29/4 |
#s(literal -29/4 binary64) |
(- (* 707281/1728 x) 29/4) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64)) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
(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)) |
-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)) |
(* 707281/11664 x) |
(*.f64 #s(literal 707281/11664 binary64) 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 (+ 29/4 (* 707281/1728 x))) |
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(*.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 (* -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) |
(+ 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)) |
(* 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)) |
(/ -108/841 x) |
(/.f64 #s(literal -108/841 binary64) x) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 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 #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) |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(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) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(+ 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)) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 138 |
| 0 | 53 | 125 |
| 1 | 201 | 125 |
| 2 | 1283 | 125 |
| 0 | 8657 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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))) |
#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) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) |
(-.f64 (*.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)) (-.f64 (*.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) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -16/841 binary64) (pow.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 16/841 binary64) (neg.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) #s(literal -1 binary64))) |
Compiled 34 621 to 3 308 computations (90.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 218 | 2 | 1 220 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 222 | 8 | 1 230 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (fma.f64 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) |
| ▶ | 99.4% | (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
| ▶ | 99.9% | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 26.0% | (/.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))) |
| ▶ | 50.8% | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
| ✓ | 99.8% | (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
| ✓ | 49.8% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 116 to 98 computations (15.5% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -707281/11664 binary64) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -108/841 binary64) x) | |
| cost-diff | 0 | #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 165 |
| 0 | 49 | 165 |
| 1 | 71 | 164 |
| 2 | 104 | 161 |
| 3 | 202 | 161 |
| 4 | 244 | 161 |
| 5 | 256 | 161 |
| 0 | 256 | 159 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
#s(literal -1 binary64) |
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
(/.f64 #s(literal -108/841 binary64) x) |
#s(literal -108/841 binary64) |
x |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) |
#s(literal -707281/11664 binary64) |
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) |
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) |
(*.f64 #s(literal -841/108 binary64) x) |
#s(literal -841/108 binary64) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.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)) (*.f64 #s(literal -707281/11664 binary64) x)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(*.f64 #s(literal -707281/11664 binary64) x) |
#s(literal -707281/11664 binary64) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#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) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
#s(literal -1 binary64) |
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
(/.f64 #s(literal -108/841 binary64) x) |
#s(literal -108/841 binary64) |
x |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) x (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) |
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) |
#s(literal -707281/11664 binary64) |
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) |
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) |
(*.f64 #s(literal -841/108 binary64) x) |
#s(literal -841/108 binary64) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
#s(literal -16/841 binary64) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
#s(literal -4/29 binary64) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(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 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (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) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x)) |
(/.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -707281/11664 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 #s(literal -707281/11664 binary64) x) |
#s(literal -707281/11664 binary64) |
(/.f64 #s(literal -16/841 binary64) (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))) |
#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) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f64 #s(literal -707281/11664 binary64) x) | |
| accuracy | 0.2109375 | (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x)) | |
| accuracy | 0.2858200195368841 | (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 0.609375 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -841/108 binary64) x) | |
| accuracy | 0.2858200195368841 | (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) | |
| accuracy | 31.348548335591286 | #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) | |
| accuracy | 31.982562100047133 | #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.203125 | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) | |
| accuracy | 0.3046875 | (/.f64 #s(literal -108/841 binary64) x) | |
| accuracy | 31.454004486259237 | #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
| 66.0ms | 250× | 0 | valid |
| 3.0ms | 4× | 2 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 325 to 68 computations (79.1% saved)
const: 22.0ms (41.6% of total)ival-div: 12.0ms (22.7% of total)ival-mult: 11.0ms (20.8% of total)ival-add: 6.0ms (11.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
(/.f64 #s(literal -108/841 binary64) x) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) |
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) |
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #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)) |
(*.f64 #s(literal -707281/11664 binary64) x) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal -841/108 binary64) x) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x)) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
(/ -108/841 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* -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)))))) |
(* -841/108 x) |
(/ -46656/20511149 x) |
(/ (- (* 108/841 x) 46656/20511149) x) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) 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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* 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) |
108/841 |
(- 108/841 (* 46656/20511149 (/ 1 x))) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) (+ (* x (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)))) (/ -16/841 (+ (* x 841/108) -4/29))) (+ (* -841/108 x) 4/29) (* -707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x) (/ -16/841 (+ (* x 841/108) -4/29)) (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) |
| 2.0ms | x | @ | -inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) (+ (* x (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)))) (/ -16/841 (+ (* x 841/108) -4/29))) (+ (* -841/108 x) 4/29) (* -707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x) (/ -16/841 (+ (* x 841/108) -4/29)) (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) |
| 2.0ms | x | @ | 0 | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) (+ (* x (/ 1 (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)))) (/ -16/841 (+ (* x 841/108) -4/29))) (+ (* -841/108 x) 4/29) (* -707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x) (/ -16/841 (+ (* x 841/108) -4/29)) (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 441 |
| 1 | 546 | 424 |
| 2 | 1196 | 414 |
| 3 | 2352 | 410 |
| 4 | 4836 | 406 |
| 0 | 8209 | 375 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
(/ -108/841 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 (+ 29/4 (* 707281/1728 x))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(+ 4/29 (* -841/108 x)) |
(* -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)))))) |
(* -841/108 x) |
(/ -46656/20511149 x) |
(/ (- (* 108/841 x) 46656/20511149) x) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) 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 |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* 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) |
108/841 |
(- 108/841 (* 46656/20511149 (/ 1 x))) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(* -1 (* x (- 841/108 (* 4/29 (/ 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)) |
| 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)) |
-29/4 |
#s(literal -29/4 binary64) |
(- (* 707281/1728 x) 29/4) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) |
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4) |
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64)) |
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4) |
(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)) |
(/ -108/841 x) |
(/.f64 #s(literal -108/841 binary64) 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 (+ 29/4 (* 707281/1728 x))) |
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x) |
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) |
(*.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 (* -841/108 x)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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)) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(/ -46656/20511149 x) |
(/.f64 #s(literal -46656/20511149 binary64) x) |
(/ (- (* 108/841 x) 46656/20511149) x) |
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 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)) |
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x) |
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x) |
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x) |
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 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) |
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) |
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) |
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) |
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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) |
108/841 |
#s(literal 108/841 binary64) |
(- 108/841 (* 46656/20511149 (/ 1 x))) |
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) |
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x) |
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x) |
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 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)) |
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64)) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 145 |
| 0 | 49 | 144 |
| 1 | 185 | 141 |
| 2 | 1376 | 141 |
| 0 | 8333 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
(/.f64 #s(literal -108/841 binary64) x) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) |
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) |
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #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)) |
(*.f64 #s(literal -707281/11664 binary64) x) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) |
(*.f64 #s(literal -841/108 binary64) x) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x))) |
(neg.f64 (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.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)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 707281/11664 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 707281/11664 binary64) x)) (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -707281/11664 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -707281/11664 binary64) x)) (/.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) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -11664/707281 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -11664/707281 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x) #s(literal -11664/707281 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x)) #s(literal -1 binary64))) |
Compiled 17 440 to 1 959 computations (88.8% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 566 | 4 | 570 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 1 | 4 | 5 |
| Total | 569 | 9 | 578 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 x (/.f64 x (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| 97.0% | (fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)) #s(literal 108/841 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) | |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 75.0% | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (*.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) | |
| ✓ | 26.0% | (/.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))) |
| ✓ | 50.8% | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
| ✓ | 99.8% | (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
| 51.0% | #s(approx (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (*.f64 #s(literal 841/108 binary64) x)) | |
| ✓ | 49.8% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 498 to 230 computations (53.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (/ -1 (/ -1 (+ (* 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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 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(literal -1 binary64) (/.f64 #s(literal -1 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))) |
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #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)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)) #s(literal 108/841 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(fma.f64 x (/.f64 x (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 #s(literal -707281/11664 binary64) x))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (*.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) |
(fma.f64 (/.f64 #s(literal -16/841 binary64) (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)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))) |
| Outputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
3 calls:
| 7.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 7.0ms | x |
| 6.0ms | (+.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 (/ -1 (/ -1 (+ (* 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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 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(literal -1 binary64) (/.f64 #s(literal -1 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))) |
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #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)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -841/108 x) 4/29) (* -707281/11664 x)) #s(literal 108/841 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
3 calls:
| 5.0ms | x |
| 5.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 4.0ms | (+.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 (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (*.f64 #s(literal 841/108 binary64) x)) |
| Outputs |
|---|
#s(approx (/ -1 (/ -1 (+ (* 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 (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (*.f64 #s(literal 841/108 binary64) x)) |
3 calls:
| 2.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
| 97.4% | 3 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 97.4% | 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:
| 2.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 2.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | x |
| 49.8% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 49.8% | 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 | 0.020722313440144816 | 41231.3830853969 |
| 0.0ms | -11.571759098482927 | -0.10290264321928352 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 84 |
| 1 | 46 | 84 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(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 (/ -1 (/ -1 (+ (* 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 5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (/ -1 (/ -1 (+ (* 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 (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(fma.f64 x (*.f64 (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #s(literal -707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))) |
(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 (/ -1 (/ -1 (+ (* 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 5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (*.f64 #s(literal 841/108 binary64) x)))) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 446 |
| 1 | 556 | 429 |
| 2 | 1224 | 423 |
| 3 | 2435 | 419 |
| 4 | 5122 | 415 |
| 0 | 8225 | 382 |
| 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 | 198 | 441 |
| 1 | 546 | 424 |
| 2 | 1196 | 414 |
| 3 | 2352 | 410 |
| 4 | 4836 | 406 |
| 0 | 8209 | 375 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 157 | 10 |
| 3 | 1219 | 10 |
| 0 | 8380 | 9 |
| 0 | 226 | 563 |
| 1 | 566 | 558 |
| 2 | 1280 | 542 |
| 3 | 2672 | 534 |
| 4 | 5291 | 516 |
| 0 | 8122 | 471 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 169 to 109 computations (35.5% saved)
Compiled 202 to 114 computations (43.6% saved)
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