
Time bar (total: 5.5s)
| 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)
| 673.0ms | 8 253× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-div: 293.0ms (64.6% of total)ival-add: 79.0ms (17.4% of total)ival-mult: 58.0ms (12.8% of total)exact: 15.0ms (3.3% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% 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 |
| 52.0ms | 512× | 0 | valid |
Compiled 63 to 31 computations (50.8% saved)
ival-div: 22.0ms (68.9% of total)ival-mult: 4.0ms (12.5% of total)ival-add: 3.0ms (9.4% of total)ival-true: 1.0ms (3.1% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 13 |
| 1 | 21 | 10 |
| 2 | 37 | 10 |
| 3 | 53 | 10 |
| 0 | 9 | 5 |
| 0 | 15 | 5 |
| 1 | 17 | 5 |
| 2 | 24 | 5 |
| 3 | 31 | 5 |
| 4 | 40 | 5 |
| 5 | 40 | 5 |
| 0 | 40 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| cost-diff | 2 | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 0 | 15 | 15 |
| 1 | 17 | 15 |
| 2 | 24 | 15 |
| 3 | 31 | 15 |
| 4 | 40 | 15 |
| 5 | 40 | 15 |
| 0 | 40 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
#s(literal 841 binary64) |
#s(literal 108 binary64) |
x |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
#s(literal 4 binary64) |
#s(literal 29 binary64) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
(*.f64 x #s(literal 841/108 binary64)) |
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) |
#s(literal 841/108 binary64) |
#s(literal 841 binary64) |
#s(literal 108 binary64) |
x |
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) |
#s(literal 4/29 binary64) |
#s(literal 4 binary64) |
#s(literal 29 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) | |
| accuracy | 0.109375 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 14.0ms | 256× | 0 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 4.0ms (53.7% of total)ival-mult: 2.0ms (26.9% of total)ival-add: 1.0ms (13.4% 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 | |
|---|---|---|---|---|
| 29.0ms | 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 | 32 | 14 |
| 2 | 62 | 14 |
| 3 | 122 | 14 |
| 4 | 172 | 14 |
| 5 | 219 | 14 |
| 6 | 278 | 14 |
| 7 | 377 | 14 |
| 8 | 413 | 14 |
| 9 | 417 | 14 |
| 0 | 417 | 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 | 153 | 10 |
| 3 | 1184 | 10 |
| 0 | 8573 | 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 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #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 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 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 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))) (+.f64 (/.f64 #s(literal 16/841 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 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 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 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (*.f64 (/.f64 #s(literal 16/841 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 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))))) |
(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 29/27 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 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 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))) |
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(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 707281/11664 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x)) (*.f64 #s(literal -841/108 binary64) x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 707281/11664 binary64) x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -841/108 binary64) (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 x #s(literal 841/108 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 841/108 binary64)) (*.f64 #s(literal -841/108 binary64) x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))) |
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 841/108 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -841/108 binary64) x)) (sqrt.f64 (*.f64 #s(literal -841/108 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 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 (fabs.f64 x) #s(literal 841/108 binary64)) |
(*.f64 x #s(literal 841/108 binary64)) |
(*.f64 #s(literal 841/108 binary64) (fabs.f64 (fabs.f64 x))) |
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 841/108 binary64) (fabs.f64 x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) x))) |
(fabs.f64 (*.f64 #s(literal -841/108 binary64) x)) |
(fabs.f64 (*.f64 x #s(literal 841/108 binary64))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) #s(literal 2 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)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64)))) (sinh.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))) |
Compiled 5 013 to 600 computations (88% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 8 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 170 | 8 | 178 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.5% | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
| 54.6% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) | |
| ▶ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ▶ | 52.7% | (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
| 78.4% | (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) | |
| 99.6% | (-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) | |
| ▶ | 78.4% | (+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
| ▶ | 53.5% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Compiled 214 to 156 computations (27.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 841/108 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) | |
| cost-diff | 1 | (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) | |
| cost-diff | 6 | (+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #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 | 37 | 149 |
| 0 | 58 | 142 |
| 1 | 88 | 142 |
| 2 | 191 | 142 |
| 3 | 521 | 142 |
| 4 | 1237 | 142 |
| 5 | 1907 | 142 |
| 6 | 2097 | 142 |
| 7 | 2111 | 142 |
| 8 | 2123 | 142 |
| 9 | 2143 | 142 |
| 10 | 2155 | 142 |
| 11 | 2156 | 142 |
| 0 | 2156 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) |
(*.f64 (*.f64 x x) #s(literal 841/108 binary64)) |
(*.f64 x x) |
x |
#s(literal 841/108 binary64) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 4/29 binary64) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
#s(literal 16/841 binary64) |
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
#s(literal 4/29 binary64) |
(*.f64 x #s(literal 841/108 binary64)) |
x |
#s(literal 841/108 binary64) |
(/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
#s(literal -707281/11664 binary64) |
(*.f64 x x) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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)) |
#s(literal -594823321/1259712 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
#s(literal 29/27 binary64) |
#s(literal 16/841 binary64) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
x |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) |
(*.f64 (*.f64 x x) #s(literal 841/108 binary64)) |
(*.f64 x x) |
x |
#s(literal 841/108 binary64) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 4/29 binary64) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) |
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 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) |
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal 4/29 binary64) |
(*.f64 x #s(literal 841/108 binary64)) |
(*.f64 #s(literal 841/108 binary64) x) |
x |
#s(literal 841/108 binary64) |
(/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) x) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
#s(literal -707281/11664 binary64) |
(*.f64 x x) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))) |
(fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) |
#s(literal -594823321/1259712 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 64/24389 binary64) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)) |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
#s(literal 29/27 binary64) |
#s(literal 16/841 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) | |
| accuracy | 0.08984375 | (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) | |
| accuracy | 0.2109375 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 18.34716337008213 | (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) | |
| accuracy | 0.109375 | (*.f64 x #s(literal 841/108 binary64)) | |
| accuracy | 0.14453125 | (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) | |
| accuracy | 0.28810502930532605 | (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) | |
| accuracy | 13.919681216076293 | (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 841/108 binary64)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) | |
| accuracy | 0.17578125 | (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) | |
| accuracy | 27.974814914316788 | (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) | |
| accuracy | 29.74091726913548 | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) | |
| accuracy | 0.0625 | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 149.0ms | 256× | 0 | valid |
Compiled 159 to 41 computations (74.2% saved)
const: 54.0ms (50.4% of total)ival-mult: 23.0ms (21.5% of total)ival-div: 8.0ms (7.5% of total)ival-pow: 8.0ms (7.5% of total)ival-add: 7.0ms (6.5% of total)ival-sqrt: 4.0ms (3.7% of total)ival-sub: 2.0ms (1.9% of total)exact: 1.0ms (0.9% 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)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) |
(*.f64 (*.f64 x x) #s(literal 841/108 binary64)) |
(*.f64 x x) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 x #s(literal 841/108 binary64)) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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)) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(sqrt.f64 #s(literal 841/108 binary64)) |
(/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 (pow x 2)) |
(pow x 2) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* 841/108 x) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(pow x 3) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -707281/11664 (pow x 2)) |
(* 707281/11664 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* x (pow (sqrt 841/108) 2)) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(/ -1728/707281 x) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -1 (* x (sqrt 841/108))) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x)) |
| 4.0ms | x | @ | 0 | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x)) |
| 4.0ms | x | @ | -inf | ((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt (* (* x x) 841/108)) (* (* x x) 841/108) (* x x) (+ (/ 16/841 (- 4/29 (* x 841/108))) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108)))) (- 4/29 (* x 841/108)) (/ 16/841 (- 4/29 (* x 841/108))) (* x 841/108) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (pow x 3) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (sqrt 841/108) (/ (* -707281/11664 (* x x)) (- 4/29 (* x 841/108))) (* -707281/11664 (* x x)) (* 707281/11664 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 477 |
| 1 | 620 | 465 |
| 2 | 1785 | 443 |
| 3 | 5372 | 436 |
| 0 | 8338 | 411 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 (pow x 2)) |
(pow x 2) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(* 841/108 x) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(pow x 3) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(* -20511149/46656 (pow x 2)) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(* -707281/11664 (pow x 2)) |
(* 707281/11664 x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* x (pow (sqrt 841/108) 2)) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(/ -1728/707281 x) |
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -1 (* x (sqrt 841/108))) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* x (sqrt 841/108)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(* 841/108 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 841/108 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ 4/29 (* -841/108 x)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) |
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
64/24389 |
#s(literal 64/24389 binary64) |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* -29/27 x)) |
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)) |
(* -20511149/46656 (pow x 2)) |
(*.f64 (*.f64 #s(literal -20511149/46656 binary64) x) x) |
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)) |
(*.f64 (-.f64 (*.f64 #s(literal -500246412961/20155392 binary64) x) #s(literal 20511149/46656 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -12200509765705829/8707129344 binary64) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) |
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -297558232675799463481/3761479876608 binary64) x) #s(literal 12200509765705829/8707129344 binary64)) x) #s(literal 500246412961/20155392 binary64)) x) #s(literal 20511149/46656 binary64)) x) x) |
(* -707281/11664 (pow x 2)) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(* 707281/11664 x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* x (pow (sqrt 841/108) 2)) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x) |
(/ -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 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x) |
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -594823321/1259712 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 29/27 binary64) x)) x) x) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 (-.f64 #s(literal 29/27 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x) x) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1728/707281 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))) |
(fma.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) x)) x #s(literal 4/29 binary64)) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(*.f64 #s(literal -841/108 binary64) x) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (* x (sqrt 841/108))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 841/108 binary64))) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x) #s(literal -1728/707281 binary64)) x) |
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x) #s(literal 746496/17249876309 binary64)) x) #s(literal -1728/707281 binary64)) x) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 707281/11664 binary64) (/.f64 (-.f64 #s(literal 29/27 binary64) (/.f64 #s(literal 16/841 binary64) x)) x)) x) x) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) x) #s(literal 841/108 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x) #s(literal 841/108 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 122 |
| 0 | 58 | 99 |
| 1 | 214 | 98 |
| 2 | 1429 | 95 |
| 0 | 9010 | 95 |
| 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)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) |
(*.f64 (*.f64 x x) #s(literal 841/108 binary64)) |
(*.f64 x x) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))) |
(/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 x #s(literal 841/108 binary64)) |
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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)) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(sqrt.f64 #s(literal 841/108 binary64)) |
(/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
| Outputs |
|---|
(*.f64 (/.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)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)))) (/.f64 (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 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)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 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))) (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)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (-.f64 (*.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))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 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))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))) (+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))))) (+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) (+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 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 (*.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (/.f64 (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)) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) (-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.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 #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 (*.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -707281/11664 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -707281/11664 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x)))))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.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 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)))))) |
(/.f64 (-.f64 #s(literal 64/24389 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))))))) |
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(*.f64 (/.f64 (*.f64 x x) (/.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 -707281/11664 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.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 707281/11664 binary64) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.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 -707281/11664 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 (*.f64 x x) (/.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 707281/11664 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.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 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 #s(literal 841/108 binary64) (/.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 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(*.f64 (/.f64 x (/.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 (*.f64 #s(literal -707281/11664 binary64) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 x (/.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 (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 x (/.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 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (/.f64 x (/.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 (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 x (/.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 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 29/27 binary64) x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (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 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) |
(*.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -707281/11664 binary64)) |
(*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))))) |
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (neg.f64 (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))) |
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) |
(/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(neg.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) (sqrt.f64 #s(literal 841/108 binary64))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x)) (sqrt.f64 #s(literal 841/108 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x) |
(*.f64 (neg.f64 (*.f64 #s(literal -707281/11664 binary64) x)) x) |
(*.f64 (*.f64 #s(literal -707281/11664 binary64) x) x) |
(*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) |
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 #s(literal 841/108 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) #s(literal 841/108 binary64)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) |
(*.f64 #s(literal 841/108 binary64) (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) |
(*.f64 x (*.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x))) |
(*.f64 x (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64))) |
(*.f64 x (*.f64 #s(literal -707281/11664 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64))) |
(fabs.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 2 binary64))) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(*.f64 x #s(literal 707281/11664 binary64)) |
(sqrt.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 707281/11664 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 707281/11664 binary64) x)) |
Compiled 22 716 to 2 277 computations (90% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 744 | 5 | 749 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 749 | 8 | 757 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
| ▶ | 54.6% | (fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| 70.4% | (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 841/108 binary64) x) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) | |
| ▶ | 76.9% | (/.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))) |
| ▶ | 53.7% | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
| ✓ | 53.5% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ▶ | 48.8% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 173 to 143 computations (17.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) | |
| cost-diff | 0 | (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 841/108 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 841/108 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) | |
| cost-diff | 4 | (fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 134 |
| 0 | 54 | 138 |
| 1 | 84 | 138 |
| 2 | 183 | 130 |
| 3 | 483 | 130 |
| 4 | 998 | 129 |
| 5 | 1252 | 129 |
| 6 | 1318 | 125 |
| 7 | 1346 | 125 |
| 8 | 1356 | 125 |
| 9 | 1367 | 125 |
| 10 | 1368 | 125 |
| 0 | 1368 | 122 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 841/108 binary64) |
x |
#s(literal 4/29 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
#s(literal 64/24389 binary64) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
x |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
#s(literal 29/27 binary64) |
#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))) |
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
#s(literal 707281/11664 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
(sqrt.f64 x) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 841/108 binary64) |
x |
#s(literal 4/29 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 x #s(literal 841/108 binary64))) |
(*.f64 #s(literal 841/108 binary64) x) |
(*.f64 x #s(literal 841/108 binary64)) |
#s(literal 841/108 binary64) |
x |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
#s(literal 64/24389 binary64) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)) |
x |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
#s(literal 29/27 binary64) |
#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 (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 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) |
#s(literal 707281/11664 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 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)) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
(sqrt.f64 x) |
#s(literal 4/29 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0625 | (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) | |
| accuracy | 0.0859375 | (fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) | |
| accuracy | 0.10546875 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.03125 | (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 6.822010295222704 | (/.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))) | |
| accuracy | 0.04296875 | (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) | |
| accuracy | 0.10546875 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 8.965174277873132 | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) | |
| accuracy | 15.785135165845801 | #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) | |
| accuracy | 0.0703125 | (*.f64 #s(literal 841/108 binary64) x) | |
| accuracy | 18.421135809179955 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 841/108 binary64)) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) | |
| accuracy | 0.109375 | (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
| 50.0ms | 116× | 0 | invalid |
| 43.0ms | 140× | 0 | valid |
Compiled 136 to 37 computations (72.8% saved)
const: 24.0ms (30.8% of total)ival-sqrt: 19.0ms (24.4% of total)ival-mult: 17.0ms (21.8% of total)ival-add: 7.0ms (9% of total)ival-pow: 6.0ms (7.7% of total)ival-div: 3.0ms (3.9% of total)ival-sub: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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))) |
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(sqrt.f64 x) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 x) |
(+ 4/29 (* 841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(pow x 2) |
(* 841/108 (sqrt x)) |
(* 707281/11664 x) |
(sqrt x) |
(* x (pow (sqrt 841/108) 2)) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -841/108 x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1)))) |
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 112.0ms | x | @ | inf | ((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x)) |
| 6.0ms | x | @ | -inf | ((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x)) |
| 2.0ms | x | @ | 0 | ((+ (* (* (sqrt 841/108) x) (sqrt 841/108)) 4/29) (* (sqrt 841/108) x) (sqrt 841/108) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* 841/108 x) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (* x x) (+ (* 841/108 x) 4/29) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (* 707281/11664 x) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 430 |
| 1 | 513 | 405 |
| 2 | 1419 | 388 |
| 3 | 4028 | 380 |
| 0 | 8547 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 x) |
(+ 4/29 (* 841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
16/841 |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(pow x 2) |
(* 841/108 (sqrt x)) |
(* 707281/11664 x) |
(sqrt x) |
(* x (pow (sqrt 841/108) 2)) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -841/108 x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1)))) |
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* x (sqrt 841/108)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(+ 4/29 (* 841/108 x)) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -500246412961/10077696 binary64) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
64/24389 |
#s(literal 64/24389 binary64) |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) |
16/841 |
#s(literal 16/841 binary64) |
(+ 16/841 (* -29/27 x)) |
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
-29/27 |
#s(literal -29/27 binary64) |
(- (* 707281/11664 x) 29/27) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(+ 4/29 (* -841/108 x)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 841/108 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(* 707281/11664 x) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (pow (sqrt 841/108) 2)) |
(*.f64 #s(literal 841/108 binary64) x) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -594823321/1259712 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(fma.f64 x (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) #s(literal -4/29 binary64)) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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)) |
(* -1 (* x (- (* -1 (pow (sqrt 841/108) 2)) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(*.f64 #s(literal -841/108 binary64) x) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 29/27 binary64) x) #s(literal 707281/11664 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64))) |
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -707281/11664 binary64)))) |
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x))))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 4/29 binary64)) |
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -707281/11664 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 113 |
| 0 | 54 | 113 |
| 1 | 205 | 109 |
| 2 | 1339 | 91 |
| 0 | 9237 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
(fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) |
(-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 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))) |
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (-.f64 (*.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))) (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 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #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 #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 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (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 3 binary64)) (pow.f64 (/.f64 #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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 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 #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 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #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 (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)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (neg.f64 (*.f64 (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)))) (neg.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #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)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 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 -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (*.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)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))) #s(literal 2 binary64)) (*.f64 (*.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 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (-.f64 (*.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 (fma.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 (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 64/24389 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)))) (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 -16/841 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 #s(literal -707281/11664 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal -16/841 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 #s(literal -707281/11664 binary64) (*.f64 x x)))) (*.f64 (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 (fma.f64 #s(literal 16/841 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 #s(literal -707281/11664 binary64) (*.f64 x x)))) (*.f64 (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 (fma.f64 #s(literal 16/841 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 #s(literal -707281/11664 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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))) (*.f64 (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)))) |
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(+.f64 (*.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 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)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) |
(+.f64 (*.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 -707281/11664 binary64) (*.f64 x x))) (*.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 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 29/27 binary64)) x #s(literal 16/841 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (/.f64 (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)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 841/729 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 2 binary64))) (/.f64 (*.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 4096/594823321 binary64) (*.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)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (*.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)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (*.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)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.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)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 6 binary64)) (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))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #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 #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 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #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 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x))) (sqrt.f64 x))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))) (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(*.f64 #s(literal 841/108 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal -707281/11664 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)))) |
(*.f64 (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x)) (*.f64 #s(literal -841/108 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -707281/11664 binary64) x) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64))) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(*.f64 x #s(literal -707281/11664 binary64)) |
(*.f64 x #s(literal 707281/11664 binary64)) |
(pow.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -707281/11664 binary64) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -707281/11664 binary64) x)) |
(sqrt.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -707281/11664 binary64) x)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -707281/11664 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
Compiled 12 279 to 1 475 computations (88% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 5 | 497 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 497 | 8 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ▶ | 78.4% | (/.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))) |
| ▶ | 77.0% | (/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) |
| ▶ | 53.2% | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
| ✓ | 53.5% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ▶ | 25.7% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
| ▶ | 48.5% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
| ✓ | 48.8% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 206 to 167 computations (18.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 841/108 binary64)) | |
| cost-diff | 0 | (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) | |
| cost-diff | 4 | (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 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 | #s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) | |
| cost-diff | 0 | #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| cost-diff | 0 | (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 198 |
| 0 | 67 | 196 |
| 1 | 105 | 180 |
| 2 | 216 | 180 |
| 3 | 550 | 178 |
| 4 | 1597 | 166 |
| 5 | 3236 | 166 |
| 6 | 3715 | 166 |
| 7 | 3725 | 166 |
| 8 | 3736 | 166 |
| 9 | 3747 | 166 |
| 10 | 3748 | 166 |
| 11 | 3748 | 166 |
| 12 | 3759 | 166 |
| 0 | 3759 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
#s(literal -707281/11664 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
#s(literal 64/24389 binary64) |
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
x |
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) |
#s(literal -29/27 binary64) |
#s(literal 16/841 binary64) |
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) |
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
#s(literal 707281/11664 binary64) |
x |
#s(literal 16/841 binary64) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) |
x |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 841/108 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 841/108 binary64) |
| Outputs |
|---|
(/.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 (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 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(fma.f64 (*.f64 x #s(literal -707281/11664 binary64)) x #s(literal 16/841 binary64)) |
#s(literal -707281/11664 binary64) |
(*.f64 x x) |
x |
#s(literal 16/841 binary64) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal -841/108 binary64) |
#s(literal 4/29 binary64) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
#s(literal 64/24389 binary64) |
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
(fma.f64 #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
x |
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) |
#s(literal -29/27 binary64) |
#s(literal 16/841 binary64) |
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(fma.f64 (*.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 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
#s(literal 841/108 binary64) |
#s(literal 4/29 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) |
(*.f64 #s(literal 841/108 binary64) x) |
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
x |
(sqrt.f64 #s(literal 841/108 binary64)) |
#s(literal 841/108 binary64) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 841/108 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 841/108 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1328125 | (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) | |
| accuracy | 18.421135809179955 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 841/108 binary64)) | |
| accuracy | 0.109375 | (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) | |
| accuracy | 0.1875 | (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) | |
| accuracy | 18.421135809179955 | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) | |
| accuracy | 0.03125 | (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) | |
| accuracy | 0.10546875 | (*.f64 #s(literal 707281/11664 binary64) x) | |
| accuracy | 6.822010295222704 | (/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) | |
| accuracy | 0.04296875 | (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) | |
| accuracy | 8.965174277873132 | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) | |
| accuracy | 15.785135165845801 | #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) | |
| accuracy | 15.885079162063157 | #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.03125 | (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) | |
| accuracy | 6.818104045222704 | (/.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))) |
| 55.0ms | 116× | 0 | invalid |
| 53.0ms | 140× | 0 | valid |
Compiled 169 to 45 computations (73.4% saved)
const: 37.0ms (40.8% of total)ival-mult: 22.0ms (24.3% of total)ival-add: 11.0ms (12.1% of total)ival-div: 9.0ms (9.9% of total)ival-sqrt: 5.0ms (5.5% of total)ival-pow: 5.0ms (5.5% of total)ival-sub: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.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))) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) |
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) |
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) |
(sqrt.f64 #s(literal 841/108 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(sqrt.f64 x) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
| Outputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
16/841 |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(pow x 2) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(* 707281/11664 x) |
(* x (pow (sqrt 841/108) 2)) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 x) |
(* 841/108 (sqrt x)) |
(sqrt x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* -707281/11664 (pow x 2)) |
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -841/108 (* x (pow (sqrt -1) 2))) |
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 176.0ms | x | @ | inf | ((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29)) |
| 4.0ms | x | @ | -inf | ((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29)) |
| 2.0ms | x | @ | 0 | ((/ (+ (* -707281/11664 (* x x)) 16/841) (+ (* -841/108 x) 4/29)) (+ (* -707281/11664 (* x x)) 16/841) (* x x) (+ (* -841/108 x) 4/29) (/ (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841)) (+ (* -594823321/1259712 (pow x 3)) 64/24389) (+ (* x (- (* 707281/11664 x) 29/27)) 16/841) (- (* 707281/11664 x) 29/27) (/ (+ (* 707281/11664 (* x x)) 16/841) (+ (* 841/108 x) 4/29)) (+ (* 707281/11664 (* x x)) 16/841) (+ (* (* 707281/11664 x) x) 16/841) (* 707281/11664 x) (* (* x (sqrt 841/108)) (sqrt 841/108)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* x (sqrt 841/108)) (sqrt 841/108) (* (* (sqrt x) 841/108) (sqrt x)) (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (* (sqrt x) 841/108) (sqrt x) (+ (* 841/108 x) 4/29)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 417 |
| 1 | 496 | 413 |
| 2 | 1341 | 398 |
| 3 | 4170 | 391 |
| 0 | 8789 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 841/108 x)) |
16/841 |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(pow x 2) |
(+ 4/29 (* -841/108 x)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
64/24389 |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(+ 16/841 (* -29/27 x)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
-29/27 |
(- (* 707281/11664 x) 29/27) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(* 707281/11664 x) |
(* x (pow (sqrt 841/108) 2)) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(* x (sqrt 841/108)) |
(* 841/108 x) |
(* 841/108 (sqrt x)) |
(sqrt x) |
(* x (+ 841/108 (* 4/29 (/ 1 x)))) |
(* -707281/11664 (pow x 2)) |
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(* -841/108 x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(* -594823321/1259712 (pow x 3)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(* 707281/11664 (pow x 2)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(* -841/108 (* x (pow (sqrt -1) 2))) |
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| 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) |
(+ 16/841 (* -707281/11664 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ 4/29 (* -841/108 x)) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* -500246412961/10077696 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/4353564672 x) 500246412961/10077696))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12200509765705829/4353564672 binary64) x) #s(literal 500246412961/10077696 binary64)) (*.f64 x x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
64/24389 |
#s(literal 64/24389 binary64) |
(+ 64/24389 (* -594823321/1259712 (pow x 3))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) |
(+ 16/841 (* -29/27 x)) |
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) |
(+ 16/841 (* x (- (* 707281/11664 x) 29/27))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
-29/27 |
#s(literal -29/27 binary64) |
(- (* 707281/11664 x) 29/27) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(+ 4/29 (* x (- (* 20511149/23328 x) 841/108))) |
(fma.f64 (-.f64 (*.f64 #s(literal 20511149/23328 binary64) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (- (* x (+ 20511149/23328 (* -500246412961/10077696 x))) 841/108))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -500246412961/10077696 binary64) x #s(literal 20511149/23328 binary64)) x) #s(literal 841/108 binary64)) x #s(literal 4/29 binary64)) |
(+ 16/841 (* 707281/11664 (pow x 2))) |
(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) |
(* x (pow (sqrt 841/108) 2)) |
(*.f64 #s(literal 841/108 binary64) x) |
(+ 4/29 (* x (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* x (sqrt 841/108)) |
(*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) |
(* 841/108 x) |
(*.f64 #s(literal 841/108 binary64) x) |
(* 841/108 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(sqrt x) |
(sqrt.f64 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) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 707281/11664 binary64)) x) x) |
(* -841/108 x) |
(*.f64 #s(literal -841/108 binary64) x) |
(* x (- (* 4/29 (/ 1 x)) 841/108)) |
(*.f64 (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)) x) |
(* -1 (* x (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) |
(* x (- (/ 1492992/17249876309 (pow x 3)) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ (/ 1492992/17249876309 (pow x 3)) (* 644972544/420707233300201 (/ 1 (pow x 4)))) (+ 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -594823321/1259712 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -594823321/1259712 binary64)) |
(* (pow x 3) (- (* 64/24389 (/ 1 (pow x 3))) 594823321/1259712)) |
(*.f64 (-.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 707281/11664 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) |
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) |
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* x (- 707281/11664 (* 29/27 (/ 1 x)))) |
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) |
(* x (- 841/108 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (* 4/29 (/ 1 x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* x (- (+ 841/108 (/ 3456/707281 (pow x 2))) (+ (* 4/29 (/ 1 x)) (* 1492992/17249876309 (/ 1 (pow x 3)))))) |
(fma.f64 (+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 3456/707281 binary64) (/.f64 #s(literal -1492992/17249876309 binary64) x)) (*.f64 x x))) x #s(literal -4/29 binary64)) |
(* (pow x 2) (+ 707281/11664 (* 16/841 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) |
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2))) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (* 1492992/17249876309 (/ 1 (pow x 2))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* x (+ 841/108 (* -1 (/ (- (+ (/ 644972544/420707233300201 (pow x 3)) (* 1492992/17249876309 (/ 1 (pow x 2)))) 4/29) x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 644972544/420707233300201 binary64) x) #s(literal 1492992/17249876309 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) x #s(literal -4/29 binary64)) |
(* -1 (* (pow x 3) (- 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -594823321/1259712 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x)))) |
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) |
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 29/27 binary64) x) #s(literal 707281/11664 binary64))) |
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* 3456/707281 (/ 1 x)) 4/29) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3456/707281 binary64) x) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1492992/17249876309 (/ 1 x)) 3456/707281) x)) 4/29) x)) 841/108))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1492992/17249876309 binary64) x) #s(literal 3456/707281 binary64)) #s(literal -4/29 binary64)) (neg.f64 x)) #s(literal 841/108 binary64))) |
(* -1 (* x (pow (sqrt 841/108) 2))) |
(*.f64 #s(literal -841/108 binary64) x) |
(* -1 (* x (- (pow (sqrt 841/108) 2) (* 4/29 (/ 1 x))))) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(* -841/108 (* x (pow (sqrt -1) 2))) |
(*.f64 #s(literal 841/108 binary64) x) |
(* -841/108 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 180 |
| 0 | 67 | 169 |
| 1 | 237 | 145 |
| 2 | 1413 | 141 |
| 0 | 9128 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) |
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) |
(*.f64 x x) |
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) |
(fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) |
#s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) |
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) |
#s(approx (+ (* 707281/11664 (* x x)) 16/841) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) |
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) |
(*.f64 #s(literal 707281/11664 binary64) x) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) |
(sqrt.f64 #s(literal 841/108 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) |
(sqrt.f64 x) |
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
(*.f64 (/.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))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.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)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))))) |
(/.f64 (+.f64 (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)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))))) |
(/.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 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (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)))) (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #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)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (fma.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)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64/24389 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
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(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 9 binary64)) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 262144/14507145975869 binary64) (fma.f64 #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (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))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64))))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))) (/.f64 (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)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -841/729 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 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))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (*.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 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (*.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)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.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)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (/.f64 #s(literal 4096/594823321 binary64) (*.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)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 6 binary64)) (*.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)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) |
(+.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) |
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 841/108 binary64)))) (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x))) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)) |
Compiled 11 602 to 1 375 computations (88.1% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 449 | 2 | 451 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 450 | 9 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
| ✓ | 77.0% | (/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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))) |
| 27.0% | (/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) | |
| ✓ | 53.2% | (/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
| ✓ | 53.5% | #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| ✓ | 25.7% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
| ✓ | 48.5% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
| ✓ | 48.8% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
| 16.6% | #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) |
Compiled 454 to 235 computations (48.2% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (- (* 707281/11664 x) 29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)))) |
(/.f64 #s(approx (+ (* -594823321/1259712 (pow x 3)) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 #s(approx (+ (* -707281/11664 (* x x)) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) |
(/.f64 #s(approx (+ (* 707281/11664 (* x x)) 16/841) (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 (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 (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))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 x (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)))) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 841/108 binary64)) (sqrt.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) x) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64))) (sqrt.f64 #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 841/108 binary64) x) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) (-.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))) |
(+.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64))))) |
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #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)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))) |
| Outputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
3 calls:
| 117.0ms | x |
| 5.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 5.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) 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 | x |
Compiled 15 to 15 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) |
3 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 98.5% | 3 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 98.5% | 3 | x |
Compiled 15 to 15 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
3 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) |
| 53.5% | 1 | (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) |
| 53.5% | 1 | x |
Compiled 15 to 15 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 103.0ms | 0.001799076955506721 | 103650232.64027646 |
| 14.0ms | -16724627.857767414 | -8.098646646465124e-10 |
| 105.0ms | 320× | 0 | valid |
Compiled 532 to 513 computations (3.6% saved)
ival-mult: 92.0ms (93.2% of total)ival-div: 5.0ms (5.1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% 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 | 27 | 42 |
| 1 | 41 | 42 |
| 2 | 73 | 42 |
| 3 | 128 | 42 |
| 4 | 184 | 42 |
| 5 | 199 | 42 |
| 6 | 202 | 42 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 x #s(literal -5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 841/108)) 4/29) (*.f64 #s(literal 841/108 binary64) x)))) |
(if (or (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) (not (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)))) #s(approx (+ (* (sqrt (* (* x x) 841/108)) (sqrt 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 (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 32 | 10 |
| 2 | 153 | 10 |
| 3 | 1184 | 10 |
| 0 | 8573 | 9 |
| 0 | 10 | 14 |
| 1 | 32 | 14 |
| 2 | 62 | 14 |
| 3 | 122 | 14 |
| 4 | 172 | 14 |
| 5 | 219 | 14 |
| 6 | 278 | 14 |
| 7 | 377 | 14 |
| 8 | 413 | 14 |
| 9 | 417 | 14 |
| 0 | 417 | 12 |
| 0 | 208 | 477 |
| 1 | 620 | 465 |
| 2 | 1785 | 443 |
| 3 | 5372 | 436 |
| 0 | 8338 | 411 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 127 to 70 computations (44.9% saved)
Compiled 118 to 78 computations (33.9% saved)
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