
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 11 computations (0% saved)
| 500.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-div: 158.0ms (57.6% of total)ival-mult: 55.0ms (20.1% of total)ival-add: 40.0ms (14.6% of total)exact: 12.0ms (4.4% of total)ival-true: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 108 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 841 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 29 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 63.0ms | 512× | 0 | valid |
Compiled 113 to 63 computations (44.2% saved)
ival-div: 8.0ms (56.3% of total)ival-mult: 3.0ms (21.1% of total)ival-add: 2.0ms (14.1% of total)exact: 1.0ms (7% 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 |
|---|---|---|
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) | |
| cost-diff | 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 | 0.0234375 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| accuracy | 0.140625 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 18.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-div: 4.0ms (49.5% of total)ival-add: 2.0ms (24.8% of total)ival-mult: 2.0ms (24.8% 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)) |
| 1.0ms | x | @ | -inf | ((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x)) |
| 0.0ms | x | @ | 0 | ((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 24 | 14 |
| 2 | 37 | 14 |
| 3 | 49 | 14 |
| 4 | 49 | 14 |
| 5 | 64 | 14 |
| 6 | 70 | 14 |
| 7 | 74 | 14 |
| 8 | 74 | 14 |
| 0 | 74 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 157 | 10 |
| 3 | 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 8 | 224 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 217 | 8 | 225 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (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)) |
| ▶ | 74.3% | (/.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))) |
| 65.4% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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)) #s(literal 16/841 binary64))) (*.f64 (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)))) | |
| ▶ | 65.0% | (/.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)))) |
| 74.3% | (/.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))) | |
| 99.8% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) | |
| ▶ | 48.2% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 236 to 172 computations (27.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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))) | |
| cost-diff | 320 | (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) | |
| cost-diff | 512 | (-.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))) | |
| cost-diff | 1408 | (/.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)))) | |
| 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 | 1088 | (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)))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 193 |
| 0 | 56 | 169 |
| 1 | 92 | 169 |
| 2 | 263 | 162 |
| 3 | 1427 | 160 |
| 4 | 4781 | 160 |
| 0 | 8193 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
#s(literal -16/841 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #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) |
(/.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)))) |
(-.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 (*.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))) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
#s(literal -707281/11664 binary64) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 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(literal 841/16 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(*.f64 (fma.f64 #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 #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
#s(literal -16/841 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #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 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
x |
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #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) |
(/.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)))) |
(/.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))) |
(-.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 -594823321/186624 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(*.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))) |
(*.f64 (*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) x) (*.f64 #s(literal -707281/11664 binary64) x)) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) |
#s(literal -707281/11664 binary64) |
(*.f64 x 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 707281/1728 binary64) x #s(literal -29/4 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(literal 841/16 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(*.f64 (fma.f64 #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))) |
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.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))) | |
| accuracy | 0.20835878907376806 | (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) | |
| accuracy | 0.21093750000000003 | (-.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))) | |
| accuracy | 21.68162511679952 | (/.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)))) | |
| accuracy | 0.046875 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.140625 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| accuracy | 0.3281030942113228 | (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| accuracy | 0.48523161377084584 | (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 0.046875 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) | |
| accuracy | 0.2109375 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 16.453803710773226 | (/.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 | 33.14334931584009 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 85.0ms | 251× | 0 | valid |
| 2.0ms | 3× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 419 to 75 computations (82.1% saved)
const: 27.0ms (40.7% of total)ival-mult: 21.0ms (31.6% of total)ival-div: 10.0ms (15.1% of total)ival-add: 6.0ms (9% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #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)) |
(/.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)))) |
(-.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 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(*.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))) |
(/.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 x)) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-4/29 |
(- (* 841/108 x) 4/29) |
(* -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)) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(* 20511149/46656 (pow x 2)) |
(* (pow x 2) (+ 20511149/46656 (* -500246412961/20155392 x))) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* -707281/11664 (pow x 2)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
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)) |
(* -500246412961/20155392 (pow x 3)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(* 707281/1728 x) |
(* x (- 707281/1728 (* 29/4 (/ 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) |
(* -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 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728))) |
(* -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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -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) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* x 841/108) -4/29) 841/16) (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (* -707281/11664 (* x x))) |
| 4.0ms | x | @ | 0 | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -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) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* x 841/108) -4/29) 841/16) (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (* -707281/11664 (* x x))) |
| 4.0ms | x | @ | -inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -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) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* x 841/108) -4/29) 841/16) (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (* -707281/11664 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 489 |
| 1 | 579 | 482 |
| 2 | 1465 | 473 |
| 3 | 3468 | 464 |
| 4 | 7727 | 460 |
| 0 | 8292 | 420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 x) |
-4/29 |
(- (* 841/108 x) 4/29) |
(* -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)) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
-29/4 |
(- (* 707281/1728 x) 29/4) |
(* 20511149/46656 (pow x 2)) |
(* (pow x 2) (+ 20511149/46656 (* -500246412961/20155392 x))) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* -707281/11664 (pow x 2)) |
(* 841/108 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
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)) |
(* -500246412961/20155392 (pow x 3)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(* 707281/1728 x) |
(* x (- 707281/1728 (* 29/4 (/ 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) |
(* -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 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728))) |
(* -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 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)) |
(* -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)) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
-29/4 |
#s(literal -29/4 binary64) |
(- (* 707281/1728 x) 29/4) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) |
(* 20511149/46656 (pow x 2)) |
(*.f64 (*.f64 #s(literal 20511149/46656 binary64) x) x) |
(* (pow x 2) (+ 20511149/46656 (* -500246412961/20155392 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x) 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)) |
(* -707281/11664 (pow x 2)) |
(*.f64 (*.f64 #s(literal -707281/11664 binary64) x) 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)) |
(* 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)) |
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)) |
(* -500246412961/20155392 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -500246412961/20155392 binary64)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 841/108 binary64) x) #s(literal 20511149/46656 binary64)) #s(literal -500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x (-.f64 (/.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x)) x) #s(literal -20511149/46656 binary64))) x) x) |
(* 707281/1728 x) |
(*.f64 #s(literal 707281/1728 binary64) x) |
(* x (- 707281/1728 (* 29/4 (/ 1 x)))) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 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 (* 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 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x (-.f64 (/.f64 #s(literal 841/108 binary64) x) #s(literal -20511149/46656 binary64))) x) x) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x (-.f64 (/.f64 (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x)) x) #s(literal -20511149/46656 binary64))) x) x) |
(* -1 (* x (- (* 29/4 (/ 1 x)) 707281/1728))) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 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 | 35 | 144 |
| 0 | 56 | 136 |
| 1 | 206 | 136 |
| 2 | 1650 | 136 |
| 0 | 8425 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #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)) |
(/.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)))) |
(-.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 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(*.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))) |
(/.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 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (neg.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))) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 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)) #s(literal 16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 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)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal 256/707281 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))))) |
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(*.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))) |
(pow.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)) #s(literal -1 binary64)) |
(pow.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 (*.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)))) |
(exp.f64 (*.f64 (log.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 #s(literal -707281/11664 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -707281/11664 binary64) x)) |
Compiled 37 778 to 3 100 computations (91.8% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 966 | 6 | 972 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 971 | 9 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (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)))) | |
| ▶ | 97.0% | (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)))) |
| ▶ | 60.6% | (fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 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)) |
| 48.0% | (/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) | |
| ▶ | 27.4% | (/.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))) |
| ▶ | 99.8% | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) |
| ✓ | 48.2% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ▶ | 52.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 283 to 231 computations (18.4% saved)
| 1× | egg-herbie |
Found 17 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 4/29 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) | |
| cost-diff | 0 | #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 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 | (*.f64 #s(literal 841/108 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) | |
| 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 197 |
| 0 | 59 | 193 |
| 1 | 83 | 193 |
| 2 | 107 | 193 |
| 3 | 126 | 193 |
| 4 | 130 | 193 |
| 5 | 179 | 193 |
| 6 | 192 | 193 |
| 7 | 204 | 193 |
| 0 | 204 | 191 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
x |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
x |
#s(literal 707281/11664 binary64) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal -4/29 binary64) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
x |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
#s(literal 841/108 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 -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 |
|---|
(/.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) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
#s(literal 841/108 binary64) |
x |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 #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) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
(fma.f64 #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) x (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
x |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
#s(literal 841/108 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 -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 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) | |
| accuracy | 0.3281030942113228 | (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| accuracy | 0.48523161377084584 | (/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) | |
| accuracy | 33.17857420816424 | #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) | |
| accuracy | 0.046875 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 4/29 binary64) x) | |
| accuracy | 0.48523161377084584 | (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) | |
| accuracy | 30.368581245698998 | #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) | |
| accuracy | 0.046875 | (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) | |
| accuracy | 0.20835878907376806 | (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) | |
| accuracy | 16.453803710773226 | (/.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 | 30.01791204988291 | #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) | |
| accuracy | 0.140625 | (*.f64 #s(literal 841/108 binary64) x) | |
| accuracy | 30.148804224579 | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) | |
| accuracy | 0.05078125 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) | |
| accuracy | 0.125 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) | |
| accuracy | 0.32168083052683716 | (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) |
| 228.0ms | 251× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 388 to 79 computations (79.6% saved)
ival-add: 39.0ms (44% of total)const: 26.0ms (29.3% of total)ival-mult: 13.0ms (14.7% of total)ival-div: 10.0ms (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) (/.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))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 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 -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#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)) |
-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) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(pow x 2) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(/ 4/29 x) |
(/ (+ 4/29 (* 841/108 x)) x) |
(* 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)) |
-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)))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(/ -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) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
-108/841 |
(* -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)) |
(* 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) |
(* -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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* x 841/108) 4/29) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 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) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 2.0ms | x | @ | inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* x 841/108) 4/29) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 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) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 2.0ms | x | @ | -inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (+ (* x 841/108) 4/29) (+ (* x 841/108) 4/29) (* 841/108 x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 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) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* x 841/108) -4/29))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 455 |
| 1 | 555 | 438 |
| 2 | 1225 | 432 |
| 3 | 2446 | 428 |
| 4 | 5137 | 420 |
| 0 | 8109 | 387 |
| 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) |
(* 841/108 x) |
-16/841 |
(- (* 707281/11664 (pow x 2)) 16/841) |
(* 707281/11664 (pow x 2)) |
(pow x 2) |
(* -20511149/46656 x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(/ 4/29 x) |
(/ (+ 4/29 (* 841/108 x)) x) |
(* 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)) |
-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)))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(/ -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) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
-108/841 |
(* -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)) |
(* 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) |
(* -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)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
-16/841 |
#s(literal -16/841 binary64) |
(- (* 707281/11664 (pow x 2)) 16/841) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -20511149/46656 x) |
(*.f64 #s(literal -20511149/46656 binary64) x) |
(* x (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x) |
(/ 4/29 x) |
(/.f64 #s(literal 4/29 binary64) x) |
(/ (+ 4/29 (* 841/108 x)) x) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(* 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)) |
-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)) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 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) |
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) |
841/108 |
#s(literal 841/108 binary64) |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(-.f64 (+.f64 (/.f64 #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 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64)) |
(- (* -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)) |
(* 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) |
(* -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 | 40 | 172 |
| 0 | 59 | 168 |
| 1 | 215 | 168 |
| 2 | 1526 | 168 |
| 0 | 8270 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 x x) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 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 -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) |
#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 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 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) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))))) |
(*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 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)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 4/29 binary64))))) |
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x))) (*.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 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)) #s(literal 16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64))))) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) |
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64) #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 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal -4/29 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal -29/27 binary64)))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #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)) |
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) |
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)) |
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) |
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 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 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 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 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 #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))))) |
(pow.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 #s(literal -16/841 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(/.f64 #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 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 (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 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) |
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) #s(literal -1 binary64))) |
#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) |
(*.f64 (pow.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) |
(*.f64 #s(literal 16/841 binary64) (pow.f64 (neg.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))) #s(literal -1 binary64))) |
(*.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))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 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 (neg.f64 (neg.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 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) (neg.f64 (neg.f64 (*.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) (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 #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 -1 binary64) (neg.f64 (*.f64 #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))) |
(neg.f64 (/.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 18 584 to 1 964 computations (89.4% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 2 | 615 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 618 | 6 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ▶ | 48.0% | (/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
| ▶ | 52.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
| ✓ | 48.2% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ✓ | 52.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 104 to 88 computations (15.4% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 4/29 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) | |
| cost-diff | 0 | #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) | |
| cost-diff | 0 | #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) | |
| cost-diff | 320 | (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 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 | 43 | 200 |
| 0 | 61 | 200 |
| 1 | 93 | 200 |
| 2 | 196 | 191 |
| 3 | 622 | 187 |
| 4 | 2500 | 187 |
| 5 | 5818 | 187 |
| 0 | 8472 | 178 |
| 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(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 |
(/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
#s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) |
#s(literal 20511149/46656 binary64) |
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 (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)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) |
#s(literal 841/16 binary64) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
x |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
#s(literal 841/108 binary64) |
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
#s(literal -1728/707281 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 |
(/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
(/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
#s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) |
#s(literal 20511149/46656 binary64) |
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 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) |
(*.f64 (fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64)) (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 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 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 841/16 binary64) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
(fma.f64 #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) x #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
x |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
#s(literal 4/29 binary64) |
#s(literal 841/108 binary64) |
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 binary64) x) |
#s(literal -1728/707281 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (/.f64 #s(literal 4/29 binary64) x) | |
| accuracy | 0.359375 | (/.f64 #s(literal -1728/707281 binary64) x) | |
| accuracy | 30.368581245698998 | #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) | |
| accuracy | 30.471760225837563 | #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) | |
| accuracy | 0.11394501953688403 | (*.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))) | |
| accuracy | 21.68162511679952 | (/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) | |
| accuracy | 25.468185628329646 | #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) | |
| accuracy | 0.125 | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) | |
| accuracy | 0.28515625 | (/.f64 #s(literal -108/841 binary64) x) | |
| accuracy | 30.31507834493742 | #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) |
| 137.0ms | 256× | 0 | valid |
Compiled 385 to 90 computations (76.6% saved)
const: 48.0ms (39% of total)ival-sub: 29.0ms (23.6% of total)ival-mult: 25.0ms (20.3% of total)ival-div: 13.0ms (10.6% of total)ival-add: 8.0ms (6.5% 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 -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) |
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
#s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
(*.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))) |
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 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) |
-4/29 |
(- (* 841/108 x) 4/29) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
(* -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)) |
(/ 4/29 x) |
(/ (+ 4/29 (* 841/108 x)) x) |
-1 |
(- (* 24389/216 x) 1) |
(- (* x (+ 24389/216 (* -594823321/186624 x))) 1) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(/ -1728/707281 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) |
(* 707281/1728 x) |
(* x (- 707281/1728 (* 29/4 (/ 1 x)))) |
(* -500246412961/20155392 (pow x 3)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(* 20511149/46656 (pow x 2)) |
(* (pow x 2) (+ 20511149/46656 (* 841/108 (/ 1 x)))) |
(* (pow x 2) (- (+ 20511149/46656 (* 841/108 (/ 1 x))) (/ 4/29 (pow x 2)))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
(* -594823321/186624 (pow x 2)) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) 594823321/186624)) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) (+ 594823321/186624 (/ 1 (pow x 2))))) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* -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 (- (* 29/4 (/ 1 x)) 707281/1728))) |
(* -1 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(* (pow x 2) (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x)))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 24389/216) x)) 594823321/186624)) |
(* -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 | @ | 0 | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (* (+ (* x 841/108) -4/29) 841/16) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (+ (* (+ (* 20511149/46656 x) 841/108) x) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 x) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (/ -1728/707281 x)) |
| 2.0ms | x | @ | -inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (* (+ (* x 841/108) -4/29) 841/16) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (+ (* (+ (* 20511149/46656 x) 841/108) x) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 x) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (/ -1728/707281 x)) |
| 2.0ms | x | @ | inf | ((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (* (+ (* x 841/108) -4/29) 841/16) (/ (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16))) (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (+ (* (+ (* 20511149/46656 x) 841/108) x) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+ (/ 4/29 x) 841/108) (/ 4/29 x) (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16)) (/ -16/841 (+ (* x 841/108) -4/29)) (/ -1728/707281 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 539 |
| 1 | 632 | 523 |
| 2 | 1631 | 512 |
| 3 | 3902 | 493 |
| 0 | 8440 | 452 |
| 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) |
-4/29 |
(- (* 841/108 x) 4/29) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
(* -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)) |
(/ 4/29 x) |
(/ (+ 4/29 (* 841/108 x)) x) |
-1 |
(- (* 24389/216 x) 1) |
(- (* x (+ 24389/216 (* -594823321/186624 x))) 1) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(/ -1728/707281 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) |
(* 707281/1728 x) |
(* x (- 707281/1728 (* 29/4 (/ 1 x)))) |
(* -500246412961/20155392 (pow x 3)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(* 20511149/46656 (pow x 2)) |
(* (pow x 2) (+ 20511149/46656 (* 841/108 (/ 1 x)))) |
(* (pow x 2) (- (+ 20511149/46656 (* 841/108 (/ 1 x))) (/ 4/29 (pow x 2)))) |
841/108 |
(+ 841/108 (* 4/29 (/ 1 x))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) |
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))) |
(* -594823321/186624 (pow x 2)) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) 594823321/186624)) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) (+ 594823321/186624 (/ 1 (pow x 2))))) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* -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 (- (* 29/4 (/ 1 x)) 707281/1728))) |
(* -1 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(* (pow x 2) (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x)))) |
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 24389/216) x)) 594823321/186624)) |
(* -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) |
-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)) |
(- (* x (+ 841/108 (* 20511149/46656 x))) 4/29) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(- (* x (+ 841/108 (* x (+ 20511149/46656 (* -500246412961/20155392 x))))) 4/29) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -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) |
(/ 4/29 x) |
(/.f64 #s(literal 4/29 binary64) x) |
(/ (+ 4/29 (* 841/108 x)) x) |
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* 24389/216 x) 1) |
(fma.f64 #s(literal 24389/216 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 24389/216 (* -594823321/186624 x))) 1) |
(fma.f64 (fma.f64 #s(literal -594823321/186624 binary64) x #s(literal 24389/216 binary64)) x #s(literal -1 binary64)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(/ -1728/707281 x) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(* 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) |
(* 707281/1728 x) |
(*.f64 #s(literal 707281/1728 binary64) x) |
(* x (- 707281/1728 (* 29/4 (/ 1 x)))) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) |
(* -500246412961/20155392 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -500246412961/20155392 binary64)) |
(* (pow x 3) (- (* 20511149/46656 (/ 1 x)) 500246412961/20155392)) |
(*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) 500246412961/20155392)) |
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) x) x #s(literal 841/108 binary64)) x) |
(* (pow x 3) (- (+ (* 20511149/46656 (/ 1 x)) (/ 841/108 (pow x 2))) (+ 500246412961/20155392 (* 4/29 (/ 1 (pow x 3)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) x) x (/.f64 #s(literal -4/29 binary64) x)) #s(literal 841/108 binary64)) x) |
(* 20511149/46656 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 20511149/46656 binary64)) |
(* (pow x 2) (+ 20511149/46656 (* 841/108 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x) |
(* (pow x 2) (- (+ 20511149/46656 (* 841/108 (/ 1 x))) (/ 4/29 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 20511149/46656 binary64) x (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))) 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))) |
(* -594823321/186624 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -594823321/186624 binary64)) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) 594823321/186624)) |
(*.f64 (fma.f64 #s(literal -594823321/186624 binary64) x #s(literal 24389/216 binary64)) x) |
(* (pow x 2) (- (* 24389/216 (/ 1 x)) (+ 594823321/186624 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -594823321/186624 binary64) x #s(literal 24389/216 binary64)) x #s(literal -1 binary64)) |
(* -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 (- (* 29/4 (/ 1 x)) 707281/1728))) |
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64)) |
(* -1 (* (pow x 3) (- 500246412961/20155392 (* 20511149/46656 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 20511149/46656 binary64) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* 841/108 (/ 1 x))) x))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 841/108 binary64) x) #s(literal 20511149/46656 binary64)) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 500246412961/20155392 (* -1 (/ (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 20511149/46656 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x)) x) #s(literal 500246412961/20155392 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 20511149/46656 (* -1 (/ (- (* 4/29 (/ 1 x)) 841/108) x)))) |
(*.f64 (fma.f64 #s(literal 20511149/46656 binary64) x (-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))) 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)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 24389/216) x)) 594823321/186624)) |
(fma.f64 (fma.f64 #s(literal -594823321/186624 binary64) x #s(literal 24389/216 binary64)) x #s(literal -1 binary64)) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) #s(literal 1728/707281 binary64)) (neg.f64 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 | 43 | 174 |
| 0 | 61 | 174 |
| 1 | 240 | 174 |
| 2 | 1749 | 174 |
| 0 | 8283 | 172 |
| 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) |
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 841/16 binary64)) |
(/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
#s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) |
(/.f64 #s(literal 4/29 binary64) x) |
(*.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))) |
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) |
(/.f64 #s(literal -1728/707281 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)))))) |
(/.f64 #s(literal 1 binary64) (*.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 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.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 (*.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 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
(neg.f64 (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.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))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -108/841 binary64)) |
(*.f64 #s(literal 108/841 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x)) |
(*.f64 #s(literal -108/841 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -841/108 binary64) x)))) |
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 108/841 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 108/841 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -841/108 binary64) x)) |
(/.f64 #s(literal -108/841 binary64) (*.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -108/841 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -108/841 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -841/108 binary64) x))) |
(neg.f64 (/.f64 #s(literal 108/841 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -841/108 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 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 #s(literal 841/16 binary64) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (*.f64 (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 #s(literal 841/16 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) #s(literal 841/16 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) #s(literal 841/16 binary64)) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) #s(literal -1 binary64))) |
(*.f64 #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)) #s(literal 841/16 binary64)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x))) (*.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/16 binary64) (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))) |
(/.f64 (*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 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 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) (*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))))) |
(/.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(fma.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))) |
(fma.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x))) |
(fma.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (*.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 841/16 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal -841/108 binary64) x))) |
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1728/707281 binary64)) |
(*.f64 #s(literal 1728/707281 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1728/707281 binary64) x)) |
(*.f64 #s(literal -1728/707281 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -707281/1728 binary64))))) |
(pow.f64 (*.f64 x #s(literal -707281/1728 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1728/707281 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1728/707281 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -707281/1728 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -707281/1728 binary64))) |
(/.f64 #s(literal -1728/707281 binary64) (*.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1728/707281 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1728/707281 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -707281/1728 binary64)))) |
(neg.f64 (/.f64 #s(literal 1728/707281 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -707281/1728 binary64))) #s(literal -1 binary64))) |
Compiled 15 693 to 1 344 computations (91.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 1 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 360 | 6 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.2% | (fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 53.4% | (/.f64 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) #s(approx (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16)) (fma.f64 #s(literal 24389/216 binary64) x #s(literal -1 binary64)))) | |
| ✓ | 52.7% | (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) |
| ✓ | 48.2% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ✓ | 52.8% | #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 451 to 201 computations (55.4% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(/.f64 #s(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 #s(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal -4/29 binary64))) #s(approx (* (+ (* -841/108 x) 4/29) (* (+ (* x 841/108) -4/29) 841/16)) (fma.f64 #s(literal 24389/216 binary64) x #s(literal -1 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))) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) (/.f64 #s(literal -1728/707281 binary64) x))) |
(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 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 (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(approx (- (* (* -707281/11664 (* x x)) (* (+ (* x 841/108) -4/29) 841/16)) (+ (* -841/108 x) 4/29)) (fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #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)))) |
(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 #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 (-.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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)) #s(literal 16/841 binary64))) (*.f64 (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 (-.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 #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
3 calls:
| 6.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 6.0ms | x |
| 5.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
Compiled 15 to 15 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
3 calls:
| 64.0ms | (*.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))) |
| 1.0ms | x |
| 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:
| 22.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 1.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | x |
| 48.2% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 48.2% | 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 | 0.005533102565243914 | 230.15342473087065 |
| 0.0ms | -0.3827657931435094 | -1.794451473554512e-8 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 52 |
| 1 | 27 | 52 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)))) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)))) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 489 |
| 1 | 579 | 482 |
| 2 | 1465 | 473 |
| 3 | 3468 | 464 |
| 4 | 7727 | 460 |
| 0 | 8292 | 420 |
| 0 | 10 | 14 |
| 1 | 24 | 14 |
| 2 | 37 | 14 |
| 3 | 49 | 14 |
| 4 | 49 | 14 |
| 5 | 64 | 14 |
| 6 | 70 | 14 |
| 7 | 74 | 14 |
| 8 | 74 | 14 |
| 0 | 74 | 12 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 157 | 10 |
| 3 | 1219 | 10 |
| 0 | 8380 | 9 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 119 to 64 computations (46.2% saved)
Compiled 138 to 76 computations (44.9% saved)
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