
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 561.0ms | 8 256× | 0 | valid |
ival-mult: 309.0ms (84.4% of total)ival-sub: 40.0ms (10.9% of total)exact: 8.0ms (2.2% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 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 |
| 83.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-mult: 9.0ms (69.8% of total)ival-sub: 3.0ms (23.3% of total)exact: 1.0ms (7.8% 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 | 9 | 19 |
| 1 | 33 | 18 |
| 2 | 132 | 18 |
| 3 | 361 | 18 |
| 4 | 806 | 18 |
| 5 | 1341 | 18 |
| 6 | 1479 | 18 |
| 7 | 1875 | 18 |
| 8 | 2405 | 18 |
| 9 | 2983 | 18 |
| 10 | 3178 | 18 |
| 11 | 3334 | 18 |
| 12 | 3334 | 18 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 23 | 9 |
| 2 | 71 | 9 |
| 3 | 223 | 9 |
| 4 | 517 | 9 |
| 5 | 958 | 9 |
| 6 | 1277 | 9 |
| 7 | 1678 | 9 |
| 8 | 2228 | 9 |
| 9 | 2812 | 9 |
| 10 | 3020 | 9 |
| 11 | 3176 | 9 |
| 12 | 3176 | 9 |
| 0 | 3176 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 1 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 23 | 23 |
| 2 | 71 | 23 |
| 3 | 223 | 23 |
| 4 | 517 | 23 |
| 5 | 958 | 23 |
| 6 | 1277 | 23 |
| 7 | 1678 | 23 |
| 8 | 2228 | 23 |
| 9 | 2812 | 23 |
| 10 | 3020 | 23 |
| 11 | 3176 | 23 |
| 12 | 3176 | 23 |
| 0 | 3176 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 38.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-mult: 5.0ms (77.8% of total)ival-sub: 1.0ms (15.6% 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 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(* 2 x) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1.0ms | x | @ | -inf | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1.0ms | x | @ | 0 | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 63 | 64 |
| 2 | 172 | 64 |
| 3 | 605 | 64 |
| 4 | 2282 | 64 |
| 5 | 5298 | 64 |
| 0 | 8414 | 59 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(* 2 x) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 38 | 20 |
| 2 | 230 | 20 |
| 3 | 1783 | 20 |
| 0 | 9278 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(/.f64 (-.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (-.f64 (+.f64 #s(literal 3 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64)))) (-.f64 x (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) |
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(fma.f64 x (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 x x) |
Compiled 8 446 to 1 031 computations (87.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 8 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 8 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 69.4% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
| ▶ | 47.7% | (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 76.3% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 63.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 76.4% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 258 to 180 computations (30.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| cost-diff | 1 | (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) | |
| cost-diff | 14 | (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 295 |
| 0 | 70 | 295 |
| 1 | 138 | 293 |
| 2 | 455 | 269 |
| 3 | 2213 | 265 |
| 4 | 6176 | 265 |
| 0 | 8182 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
#s(literal -9 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) |
(fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) |
#s(literal -8 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 27 binary64) |
(-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64))) |
#s(literal 81 binary64) |
(pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
#s(literal 6 binary64) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) |
#s(literal -9 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) x) |
(fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) |
#s(literal -8 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal 27 binary64) |
(-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64))) |
(-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64))) |
#s(literal 81 binary64) |
(pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
#s(literal 6 binary64) |
#s(literal 2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) | |
| accuracy | 0.14380383277819156 | (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| accuracy | 0.19044877930532605 | (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) | |
| accuracy | 26.47438458206363 | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.078125 | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| accuracy | 0.2499889823474126 | (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) | |
| accuracy | 18.894745831964375 | (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1484375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 32.419844534677665 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 116.0ms | 210× | 0 | valid |
| 12.0ms | 27× | 1 | valid |
| 7.0ms | 13× | 2 | valid |
| 4.0ms | 6× | 3 | valid |
Compiled 618 to 88 computations (85.8% saved)
ival-mult: 34.0ms (49.7% of total)ival-add: 12.0ms (17.5% of total)ival-div: 7.0ms (10.2% of total)adjust: 4.0ms (5.8% of total)ival-pow: 4.0ms (5.8% of total)ival-pow2: 3.0ms (4.4% of total)ival-sub: 3.0ms (4.4% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
-9 |
(- (* 4 (pow x 2)) 9) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 4/27 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* 8/81 x))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* x (+ 8/81 (* 32/243 x))))))) |
(* 27 (pow x 2)) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(* 27 x) |
(* x (+ 27 (* -8 (pow x 3)))) |
-1 |
(- (* -8/9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(* 36 (pow x 2)) |
(* (pow x 2) (+ 36 (* 48 x))) |
(* (pow x 2) (+ 36 (* x (+ 48 (* 16 x))))) |
(* 6 x) |
(* x (+ 6 (* 4 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (+ (* 3 (/ 1 x)) (* 27 (/ 1 (pow x 3)))))) |
(* 1/2 x) |
(* x (- 1/2 (* 3/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (* 3/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 135/16 (/ 1 (pow x 3)))))) |
(* -8 (pow x 5)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* -8 (pow x 4)) |
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8)) |
1 |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* 16 (pow x 4)) |
(* (pow x 4) (+ 16 (* 48 (/ 1 x)))) |
(* (pow x 4) (+ 16 (+ (* 48 (/ 1 x)) (/ 36 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 9) x)) 3) x)) 2))) |
(* -1 (* x (- (* 3/2 (/ 1 x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* 27/8 (/ 1 x)) 3/2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 135/16 (/ 1 x)) 27/8) x)) 3/2) x)) 1/2))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (* (+ (* 4 (* x x)) 9) x) (* (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (+ (* x (+ (* 4 x) 6)) 9)) (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (* (* (+ (* -8 (pow x 3)) 27) x) x) (* (+ (* -8 (pow x 3)) 27) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (+ (* -2 x) -3)) (pow (* x (+ (* 4 x) 6)) 2) (* x (+ (* 4 x) 6))) |
| 4.0ms | x | @ | -inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (* (+ (* 4 (* x x)) 9) x) (* (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (+ (* x (+ (* 4 x) 6)) 9)) (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (* (* (+ (* -8 (pow x 3)) 27) x) x) (* (+ (* -8 (pow x 3)) 27) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (+ (* -2 x) -3)) (pow (* x (+ (* 4 x) 6)) 2) (* x (+ (* 4 x) 6))) |
| 4.0ms | x | @ | 0 | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (* (+ (* 4 (* x x)) 9) x) (* (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (+ (* x (+ (* 4 x) 6)) 9)) (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (* (* (+ (* -8 (pow x 3)) 27) x) x) (* (+ (* -8 (pow x 3)) 27) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (+ (* -2 x) -3)) (pow (* x (+ (* 4 x) 6)) 2) (* x (+ (* 4 x) 6))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 763 |
| 1 | 806 | 755 |
| 2 | 2130 | 751 |
| 3 | 7079 | 749 |
| 0 | 8192 | 725 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
-9 |
(- (* 4 (pow x 2)) 9) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 4/27 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* 8/81 x))))) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* x (+ 8/81 (* 32/243 x))))))) |
(* 27 (pow x 2)) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(* 27 x) |
(* x (+ 27 (* -8 (pow x 3)))) |
-1 |
(- (* -8/9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(* 36 (pow x 2)) |
(* (pow x 2) (+ 36 (* 48 x))) |
(* (pow x 2) (+ 36 (* x (+ 48 (* 16 x))))) |
(* 6 x) |
(* x (+ 6 (* 4 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (+ (* 3 (/ 1 x)) (* 27 (/ 1 (pow x 3)))))) |
(* 1/2 x) |
(* x (- 1/2 (* 3/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (* 3/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 135/16 (/ 1 (pow x 3)))))) |
(* -8 (pow x 5)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* -8 (pow x 4)) |
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8)) |
1 |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* 16 (pow x 4)) |
(* (pow x 4) (+ 16 (* 48 (/ 1 x)))) |
(* (pow x 4) (+ 16 (+ (* 48 (/ 1 x)) (/ 36 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 9) x)) 3) x)) 2))) |
(* -1 (* x (- (* 3/2 (/ 1 x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* 27/8 (/ 1 x)) 3/2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 135/16 (/ 1 x)) 27/8) x)) 3/2) x)) 1/2))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) |
-9 |
#s(literal -9 binary64) |
(- (* 4 (pow x 2)) 9) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 4/27 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4/27 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* 8/81 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 4/27 (* x (+ 8/81 (* 32/243 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 32/243 binary64) x #s(literal 8/81 binary64)) x #s(literal 4/27 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) |
(* 27 (pow x 2)) |
(*.f64 #s(literal 27 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) x) x) |
(* 27 x) |
(*.f64 #s(literal 27 binary64) x) |
(* x (+ 27 (* -8 (pow x 3)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -8/9 (pow x 2)) 1) |
(-.f64 (*.f64 #s(literal -8/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -32/81 binary64) (*.f64 x x)) #s(literal 8/9 binary64)) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -128/729 binary64) (*.f64 x x)) #s(literal 32/81 binary64)) x) x) #s(literal 8/9 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 2/9 x) 1/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/81 binary64) x) #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
(* 36 (pow x 2)) |
(*.f64 #s(literal 36 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 36 (* 48 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 48 binary64) x #s(literal 36 binary64)) x) x) |
(* (pow x 2) (+ 36 (* x (+ 48 (* 16 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) x #s(literal 48 binary64)) x #s(literal 36 binary64)) x) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* 4 x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* 4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) x) x) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(* (pow x 3) (- 2 (* 3 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (* 3 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ 2 (/ 9 (pow x 2))) (+ (* 3 (/ 1 x)) (* 27 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 9 binary64)) x) x)) (/.f64 #s(literal 3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (- 1/2 (* 3/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/2 binary64) x)) x) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (* 3/2 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/8 binary64) x) #s(literal 3/2 binary64)) x) #s(literal 1/2 binary64)) x) |
(* x (- (+ 1/2 (/ 27/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 135/16 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/8 binary64) x) #s(literal 3/2 binary64)) x) (-.f64 (/.f64 #s(literal 135/16 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) x) |
(* -8 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -8 binary64)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(*.f64 (-.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -8 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -8 binary64)) |
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(-.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -9/2 binary64) (*.f64 x x))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
(-.f64 (-.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -729/32 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -9/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 9/8 binary64) (*.f64 x x))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) |
(* (pow x 4) (+ 16 (* 48 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 48 binary64) x) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 16 (+ (* 48 (/ 1 x)) (/ 36 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 36 binary64) x) #s(literal 48 binary64)) x) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 4 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 2))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 9 (/ 1 x)) 3) x)) 2))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)) (neg.f64 x)) #s(literal 2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 9) x)) 3) x)) 2))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 9 binary64)) (neg.f64 x)) #s(literal 3 binary64)) (neg.f64 x)) #s(literal 2 binary64))) |
(* -1 (* x (- (* 3/2 (/ 1 x)) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* 27/8 (/ 1 x)) 3/2) x)) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/8 binary64) x) #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 135/16 (/ 1 x)) 27/8) x)) 3/2) x)) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 135/16 binary64) x) #s(literal 27/8 binary64)) (neg.f64 x)) #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -8 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) (neg.f64 x)) #s(literal 3/4 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 217 |
| 0 | 70 | 217 |
| 1 | 275 | 215 |
| 2 | 1956 | 215 |
| 0 | 8325 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))))) |
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(fma.f64 (fabs.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) x (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (fabs.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x)) #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 6 binary64) x)) |
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 6 binary64) x)) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x)))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 6 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal -6 binary64) x)) |
(fabs.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fabs.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x))) |
(fabs.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x)) |
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x))))) (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x)))))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x))) (sinh.f64 (log.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x)))) |
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x)) |
Compiled 37 443 to 3 808 computations (89.8% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 924 | 9 | 933 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 928 | 13 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
| 95.1% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 69.4% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| ▶ | 69.3% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 63.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 76.3% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| ✓ | 63.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ▶ | 48.6% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
| 66.5% | (*.f64 #s(approx (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| 76.4% | #s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 475 to 301 computations (36.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) | |
| cost-diff | 1 | (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) | |
| cost-diff | 1 | (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) | |
| cost-diff | 14 | (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 2 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) | |
| cost-diff | 2 | (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 314 |
| 0 | 72 | 309 |
| 1 | 136 | 309 |
| 2 | 354 | 259 |
| 3 | 1283 | 251 |
| 4 | 4429 | 251 |
| 0 | 8141 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
x |
#s(literal 3 binary64) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
#s(literal -9 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
x |
#s(literal 3 binary64) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) |
#s(literal -9 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) |
(-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) | |
| accuracy | 0.4687555007593469 | (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) | |
| accuracy | 18.22438188759152 | (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) | |
| accuracy | 18.894745831964375 | (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) | |
| accuracy | 0.0 | (*.f64 #s(literal -9 binary64) x) | |
| accuracy | 0.078125 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| accuracy | 0.2499889823474126 | (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) | |
| accuracy | 32.87656373204888 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 9.851481997378032 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| accuracy | 32.419844534677665 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.03125 | (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
| 50.0ms | 228× | 0 | valid |
| 6.0ms | 17× | 1 | valid |
| 5.0ms | 5× | 3 | valid |
| 3.0ms | 6× | 2 | valid |
Compiled 637 to 86 computations (86.5% saved)
ival-mult: 25.0ms (54.2% of total)ival-div: 6.0ms (13% of total)ival-add: 6.0ms (13% of total)adjust: 4.0ms (8.7% of total)ival-sub: 4.0ms (8.7% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
| Outputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* -2 x) |
3 |
(+ 3 (* -2 x)) |
(* -2 (pow x 3)) |
(pow x 2) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
-9 |
(- (* 4 (pow x 2)) 9) |
-1 |
(- (* -8/9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(* -1/9 x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
(/ 1/4 x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((+ (* x 3) (* x (* x -2))) (* (+ (* x 3) (* x (* x -2))) x) (* x (* x -2)) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* x x) 3) (* (* x x) (* x -2))) (* (* x x) (* x -2)) (* x x) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3))) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (- (* 4 (* x x)) 9))) |
| 3.0ms | x | @ | -inf | ((+ (* x 3) (* x (* x -2))) (* (+ (* x 3) (* x (* x -2))) x) (* x (* x -2)) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* x x) 3) (* (* x x) (* x -2))) (* (* x x) (* x -2)) (* x x) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3))) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (- (* 4 (* x x)) 9))) |
| 3.0ms | x | @ | inf | ((+ (* x 3) (* x (* x -2))) (* (+ (* x 3) (* x (* x -2))) x) (* x (* x -2)) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* x x) 3) (* (* x x) (* x -2))) (* (* x x) (* x -2)) (* x x) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (+ -9 (* 4 (* x x))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* (/ x (- (* 4 (* x x)) 9)) (- (* x -2) -3))) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) (/ x (- (* 4 (* x x)) 9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 457 |
| 1 | 417 | 457 |
| 2 | 969 | 451 |
| 3 | 2863 | 445 |
| 0 | 8296 | 434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* -2 x) |
3 |
(+ 3 (* -2 x)) |
(* -2 (pow x 3)) |
(pow x 2) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
-9 |
(- (* 4 (pow x 2)) 9) |
-1 |
(- (* -8/9 (pow x 2)) 1) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(* -1/9 x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
(/ 1/4 x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
| Outputs |
|---|
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 2/9 x) 1/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/81 binary64) x) #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
-9 |
#s(literal -9 binary64) |
(- (* 4 (pow x 2)) 9) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -8/9 (pow x 2)) 1) |
(-.f64 (*.f64 #s(literal -8/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* -32/81 (pow x 2)) 8/9)) 1) |
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -32/81 binary64) (*.f64 x x)) #s(literal 8/9 binary64)) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -128/729 (pow x 2)) 32/81)) 8/9)) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -128/729 binary64) (*.f64 x x)) #s(literal 32/81 binary64)) x) x) #s(literal 8/9 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(*.f64 (-.f64 (*.f64 #s(literal -4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16/729 binary64) (*.f64 x x)) #s(literal 4/81 binary64)) x) x) #s(literal 1/9 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -64/6561 binary64) (*.f64 x x)) #s(literal 16/729 binary64)) x) x) #s(literal 4/81 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* 4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64))) x) #s(literal 1/2 binary64)) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 9/2 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (/ 81/8 (pow x 4)))) |
(-.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -9/2 binary64) (*.f64 x x))) |
(+ 1 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 729/32 (/ 1 (pow x 6))) (/ 81/8 (pow x 4))))) |
(-.f64 (-.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -729/32 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -9/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -81/64 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal 3/4 binary64))) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x)) x) #s(literal 1/2 binary64)) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -81/64 binary64) (/.f64 (/.f64 #s(literal 729/256 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 252 |
| 0 | 72 | 238 |
| 1 | 241 | 227 |
| 2 | 1595 | 227 |
| 0 | 8436 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) (fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -3 binary64) x))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal -3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal -3 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) |
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(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x))))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x))))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) |
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) #s(literal 729 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal 81 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))))) |
Compiled 28 331 to 2 554 computations (91% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 668 | 5 | 673 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 673 | 13 | 686 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
| ▶ | 48.5% | (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 45.4% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 63.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ▶ | 76.3% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 63.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 48.6% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
| ▶ | 99.7% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
| ▶ | 63.7% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
| ▶ | 2.9% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
| 76.4% | #s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 548 to 332 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 423 |
| 0 | 55 | 423 |
| 1 | 91 | 423 |
| 2 | 182 | 297 |
| 3 | 570 | 279 |
| 4 | 2017 | 279 |
| 0 | 8166 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2/9 binary64) x) |
#s(literal 2/9 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 2/9 binary64) x) |
#s(literal 2/9 binary64) |
#s(literal 1/3 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -9 binary64) x) | |
| accuracy | 0.07421875 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) | |
| accuracy | 2.0726472783610594 | (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) | |
| accuracy | 32.629880878613605 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| accuracy | 30.325195680025164 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/3 binary64) x) | |
| accuracy | 32.12979888702101 | #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) | |
| accuracy | 32.629880878613605 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal -9 binary64) x) | |
| accuracy | 0.078125 | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) | |
| accuracy | 30.381317304332942 | #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) | |
| accuracy | 32.629880878613605 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) | |
| accuracy | 0.25390625 | (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 2/9 binary64) x) | |
| accuracy | 32.47181685733129 | #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) | |
| accuracy | 32.629880878613605 | #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
| 108.0ms | 227× | 0 | valid |
| 6.0ms | 17× | 1 | valid |
| 3.0ms | 5× | 3 | valid |
| 3.0ms | 6× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 786 to 78 computations (90.1% saved)
ival-mult: 60.0ms (58.5% of total)ival-add: 21.0ms (20.5% of total)const: 11.0ms (10.7% of total)ival-div: 7.0ms (6.8% of total)adjust: 2.0ms (2% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
#s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 #s(literal 2/9 binary64) x) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 4 (pow x 2)) 9)) |
(* 2/9 x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 4)) |
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 2/9 (pow x 2)) |
(* (pow x 2) (- 2/9 (* 1/3 (/ 1 x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (/ (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (* 2/9 x) (* (- (* 2/9 x) 1/3) x) (* -1/3 x)) |
| 2.0ms | x | @ | inf | ((* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (/ (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (* 2/9 x) (* (- (* 2/9 x) 1/3) x) (* -1/3 x)) |
| 2.0ms | x | @ | 0 | ((* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (* -9 x) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (/ x (+ (* -2 x) -3))) (/ x (+ (* -2 x) -3)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (/ (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (+ (* -2 x) -3)) (* (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) x) (* 2/9 x) (* (- (* 2/9 x) 1/3) x) (* -1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 269 |
| 1 | 245 | 269 |
| 2 | 538 | 265 |
| 3 | 1560 | 257 |
| 4 | 5004 | 257 |
| 0 | 8076 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 4 (pow x 2)) 9)) |
(* 2/9 x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 4 (pow x 4)) |
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 2/9 (pow x 2)) |
(* (pow x 2) (- 2/9 (* 1/3 (/ 1 x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 2/9 x) 1/3)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/81 binary64) x) #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -9 (pow x 2)) |
(*.f64 (*.f64 #s(literal -9 binary64) x) x) |
(* (pow x 2) (- (* 4 (pow x 2)) 9)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) x) x) |
(* 2/9 x) |
(*.f64 #s(literal 2/9 binary64) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* 4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) |
(* (pow x 4) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* 2/9 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2/9 binary64) x) x) |
(* (pow x 2) (- 2/9 (* 1/3 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64))) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal 9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 302 |
| 0 | 55 | 302 |
| 1 | 165 | 302 |
| 2 | 922 | 218 |
| 0 | 8734 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
#s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 #s(literal 2/9 binary64) x) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
#s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -9 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal -9 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -9 binary64)) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) #s(literal -9 binary64))) |
(*.f64 x #s(literal -9 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) #s(literal -9 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal -9 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x)) |
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
#s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64)) |
(*.f64 #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
#s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 x (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x)) |
(neg.f64 (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) x)) |
(neg.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
(*.f64 x #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3 binary64)) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 x (/.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(neg.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) |
(neg.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) x) |
(*.f64 (neg.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 x (neg.f64 (neg.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))))) |
(*.f64 x #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)))) |
(*.f64 #s(literal 2/9 binary64) x) |
(*.f64 x #s(literal 2/9 binary64)) |
(sqrt.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -2/9 binary64) x)) |
(fabs.f64 (*.f64 #s(literal 2/9 binary64) x)) |
(*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x) |
(*.f64 x (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) x) (fma.f64 #s(literal -2/9 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64))) x) (neg.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -2/9 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x)) (fma.f64 #s(literal -2/9 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -2/9 binary64) x #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 4/81 binary64) (*.f64 x x) (fma.f64 #s(literal 2/27 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 #s(literal -1/3 binary64) x) |
(*.f64 x #s(literal -1/3 binary64)) |
Compiled 7 177 to 493 computations (93.1% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 2 | 159 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 159 | 13 | 172 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | 48.5% | (/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 45.4% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 63.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ✓ | 76.3% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 63.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 48.6% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
| 99.7% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))) | |
| ✓ | 63.7% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
| 76.3% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(approx (* (- (* 2/9 x) 1/3) x) (*.f64 (*.f64 #s(literal 2/9 binary64) x) x)))) | |
| ✓ | 2.9% | (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
Compiled 1 013 to 371 computations (63.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(approx (* (- (* 2/9 x) 1/3) x) (*.f64 (*.f64 #s(literal 2/9 binary64) x) x)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 (-.f64 (*.f64 #s(literal 2/9 binary64) x) #s(literal 1/3 binary64)) x))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(approx (/ (* (* (+ (* -8 (pow x 3)) 27) x) x) (- 81 (pow (* x (+ (* 4 x) 6)) 2))) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(/.f64 (*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x)))) #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
2 calls:
| 25.0ms | x |
| 6.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) (*.f64 #s(literal -1/3 binary64) x))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 1 | x |
| 63.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 63.7% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
2 calls:
| 24.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 2.9% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0034796812122613804 | 5.495739972706578e+41 |
| 0.0ms | -40223.919459000565 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 118 |
| 1 | 80 | 118 |
| 2 | 183 | 104 |
| 3 | 570 | 102 |
| 4 | 2083 | 102 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -40000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -40000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(if (or (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -40000 binary64)) (not (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 5764607523034235/1152921504606846976 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 #s(approx (/ (* (+ (* 4 (* x x)) 9) x) (/ (+ (* 4 (* x x)) 9) (+ -9 (* 4 (* x x))))) (*.f64 #s(literal -9 binary64) x)) #s(approx (/ x (+ (* -2 x) -3)) #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 63 | 64 |
| 2 | 172 | 64 |
| 3 | 605 | 64 |
| 4 | 2282 | 64 |
| 5 | 5298 | 64 |
| 0 | 8414 | 59 |
| 0 | 41 | 217 |
| 0 | 70 | 217 |
| 1 | 275 | 215 |
| 2 | 1956 | 215 |
| 0 | 8325 | 211 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 38 | 20 |
| 2 | 230 | 20 |
| 3 | 1783 | 20 |
| 0 | 9278 | 18 |
| 0 | 271 | 763 |
| 1 | 806 | 755 |
| 2 | 2130 | 751 |
| 3 | 7079 | 749 |
| 0 | 8192 | 725 |
| 0 | 179 | 457 |
| 1 | 417 | 457 |
| 2 | 969 | 451 |
| 3 | 2863 | 445 |
| 0 | 8296 | 434 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 234 to 120 computations (48.7% saved)
Compiled 272 to 128 computations (52.9% saved)
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