
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)
| 808.0ms | 8 256× | 0 | valid |
ival-mult: 338.0ms (79.8% of total)ival-sub: 66.0ms (15.6% of total)exact: 8.0ms (1.9% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% 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 |
| 110.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult: 38.0ms (89.3% of total)ival-sub: 3.0ms (7.1% of total)exact: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.10546875 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 5.0ms (76.7% of total)ival-sub: 1.0ms (15.3% of total)ival-true: 0.0ms (0% of total)adjust: 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)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 11 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 300 | 11 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (/.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))) |
| 72.0% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| 90.9% | (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) | |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 76.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
| 53.8% | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) | |
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| 99.4% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))) | |
| 74.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 69.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 74.7% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 322 to 224 computations (30.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) | |
| cost-diff | 10 | (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #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 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| cost-diff | 0 | (/.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))) | |
| 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) | |
| 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 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) | |
| cost-diff | 1 | (-.f64 (-.f64 #s(literal 3 binary64) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 221 |
| 0 | 54 | 224 |
| 1 | 111 | 203 |
| 2 | 353 | 199 |
| 3 | 1495 | 199 |
| 4 | 4321 | 199 |
| 0 | 8123 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 x x) |
x |
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(-.f64 #s(literal 3 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 (*.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 (*.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 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) 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) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
(/.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 27 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(-.f64 #s(literal 3 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 (*.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 (*.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 (/.f64 (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 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) 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) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) (fma.f64 (*.f64 #s(literal -8 binary64) x) (*.f64 x x) #s(literal 27 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.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 (*.f64 #s(literal -8 binary64) x) (*.f64 x x) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) |
(*.f64 #s(literal -2 binary64) x) |
#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)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
#s(literal 27 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) | |
| accuracy | 0.15597131068016815 | (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| accuracy | 14.264237610270143 | (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| accuracy | 14.274932179801327 | (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.07421875 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| accuracy | 1.6845911750440339 | (/.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))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.08984375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 28.59866568767271 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 (-.f64 #s(literal 3 binary64) x) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| 150.0ms | 226× | 0 | valid |
| 8.0ms | 15× | 2 | valid |
| 4.0ms | 10× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 245 to 35 computations (85.7% saved)
ival-mult: 46.0ms (57% of total)ival-div: 19.0ms (23.6% of total)ival-add: 6.0ms (7.4% of total)adjust: 5.0ms (6.2% of total)ival-sub: 4.0ms (5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 x x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.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 (*.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 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) 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)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| Outputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(+ 3 (* -1 x)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* (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))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(* 4 (pow x 2)) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ 27/4 (pow x 2)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) |
| 4.0ms | x | @ | -inf | ((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) |
| 3.0ms | x | @ | 0 | ((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 545 |
| 1 | 629 | 537 |
| 2 | 1904 | 526 |
| 3 | 7007 | 520 |
| 0 | 8514 | 500 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(+ 3 (* -1 x)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* (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))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(* 4 (pow x 2)) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ 27/4 (pow x 2)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
| 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) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 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) |
(* (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) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) |
(* 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) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* -2/9 x) |
(*.f64 #s(literal -2/9 binary64) x) |
(* x (- (* 4/27 x) 2/9)) |
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -16/243 binary64) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(* -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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* -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) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 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 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x))) x) |
(/ 27/4 (pow x 2)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -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) (- 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 (- 1 (* 3 (/ 1 x))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) x x)) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 27/16 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 176 |
| 0 | 54 | 178 |
| 1 | 212 | 150 |
| 2 | 1658 | 150 |
| 0 | 8372 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 x x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.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 (*.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 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) 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)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #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 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 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)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.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 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (*.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x) (*.f64 x x))) (*.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x) (+.f64 (-.f64 #s(literal 3 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.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)))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
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(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 x (*.f64 #s(literal 4 binary64) x)) |
(pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fabs.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(+.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) |
(*.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))) |
(/.f64 #s(literal -27 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))) |
(/.f64 #s(literal -27 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 #s(literal 27 binary64) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(neg.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
Compiled 20 541 to 2 299 computations (88.8% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 7 | 620 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 619 | 12 | 631 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.8% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| 90.9% | (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 69.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 76.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) | |
| ▶ | 22.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
| 53.8% | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) | |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| 74.7% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) | |
| ✓ | 69.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ▶ | 74.7% | #s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 346 to 233 computations (32.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) | |
| cost-diff | 4 | (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 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 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) x) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) | |
| cost-diff | 2 | (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 270 |
| 0 | 70 | 270 |
| 1 | 137 | 260 |
| 2 | 393 | 256 |
| 3 | 1434 | 256 |
| 4 | 3722 | 256 |
| 5 | 7521 | 256 |
| 0 | 8053 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.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 |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
#s(literal 27/4 binary64) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.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 |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) |
(*.f64 #s(literal -2 binary64) x) |
#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)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
#s(literal 27/4 binary64) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) | |
| accuracy | 16.18131996631622 | #s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) | |
| accuracy | 0.21847131068016815 | (/.f64 #s(literal 27/4 binary64) (*.f64 x x)) | |
| accuracy | 14.264237610270143 | (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| accuracy | 14.274932179801327 | (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) | |
| accuracy | 33.85160660865549 | #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) | |
| accuracy | 0.07421875 | (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) | |
| accuracy | 1.6845911750440339 | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| accuracy | 28.225019710578078 | #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| accuracy | 28.59866568767271 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal -2 binary64) x) x) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.05078125 | (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
| 243.0ms | 226× | 0 | valid |
| 10.0ms | 15× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 255 to 42 computations (83.5% saved)
ival-add: 143.0ms (59.4% of total)ival-mult: 72.0ms (29.9% of total)ival-pow: 9.0ms (3.7% of total)ival-div: 6.0ms (2.5% of total)adjust: 6.0ms (2.5% of total)ival-sub: 4.0ms (1.7% of total)exact: 1.0ms (0.4% 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 (*.f64 #s(literal -2 binary64) x) x)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 #s(literal -2 binary64) x) |
(*.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)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 x x) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
| 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)) |
(* (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))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(pow x 2) |
(* 4 (pow x 2)) |
(* -2 (pow x 3)) |
(pow x 3) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(/ 27/4 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x))) |
| 3.0ms | x | @ | -inf | ((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x))) |
| 3.0ms | x | @ | inf | ((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 527 |
| 1 | 612 | 520 |
| 2 | 1856 | 503 |
| 3 | 6893 | 503 |
| 0 | 8006 | 483 |
| 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)) |
(* (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))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(pow x 2) |
(* 4 (pow x 2)) |
(* -2 (pow x 3)) |
(pow x 3) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(/ 27/4 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) 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 #s(literal -2 binary64) x) x) |
(* -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)) |
(* (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) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(* -2/9 x) |
(*.f64 #s(literal -2/9 binary64) x) |
(* x (- (* 4/27 x) 2/9)) |
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(*.f64 (fma.f64 #s(literal -16/243 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64))) x) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x) |
(/ 27/4 (pow x 2)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) 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) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(*.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) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 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 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 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) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -9 binary64) x)) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -3/4 binary64) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 234 |
| 0 | 70 | 234 |
| 1 | 259 | 220 |
| 2 | 1836 | 220 |
| 0 | 8701 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 #s(literal -2 binary64) x) |
(*.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)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 x x) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
| 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 (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)) #s(literal 4 binary64)) (*.f64 x (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)) #s(literal 4 binary64)) (*.f64 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)) (*.f64 x (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)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 (*.f64 x x) #s(literal 9 binary64) (-.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 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 x x) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.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 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (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 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.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 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 #s(literal 3 binary64) x (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 3 binary64) x)) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x)) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 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)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
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(pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 x x) (-.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(+.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 27/4 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 27/4 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) x)) (neg.f64 x)) |
(/.f64 #s(literal -27/4 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 x x))) |
Compiled 18 047 to 1 545 computations (91.4% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 3 | 429 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 428 | 13 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.9% | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
| ✓ | 78.8% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 99.7% | (*.f64 (*.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)))) x) |
| ✓ | 69.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ▶ | 22.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
| ✓ | 22.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
| ▶ | 53.8% | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| ▶ | 74.7% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| ✓ | 69.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 74.7% | #s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 312 to 209 computations (33% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 2 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) | |
| cost-diff | 6 | (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (- 3 x) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(approx (- 3 x) (neg.f64 x)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (*.f64 (*.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)))) x) | |
| cost-diff | 4 | (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| cost-diff | 10 | (/.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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 327 |
| 0 | 80 | 310 |
| 1 | 172 | 274 |
| 2 | 577 | 262 |
| 3 | 2439 | 262 |
| 0 | 9821 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.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)))) x) |
(*.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 (*.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 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(*.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) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 x x) |
x |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) |
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 4 binary64) x) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
#s(literal 27/4 binary64) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
| Outputs |
|---|
(*.f64 (*.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)))) x) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.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 x #s(literal -2 binary64) #s(literal 3 binary64)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.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 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (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 (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) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 (-.f64 #s(approx (- 3 x) (neg.f64 x)) x) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(sqrt.f64 (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal -8 binary64) (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x)) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) |
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 4 binary64) x) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
#s(literal 27/4 binary64) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 0.15987756068016815 | (/.f64 #s(literal 27/4 binary64) (*.f64 x x)) | |
| accuracy | 8.869314810546534 | (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) | |
| accuracy | 17.63081728686381 | #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) | |
| accuracy | 0.11328125 | (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (- 3 x) (neg.f64 x)) x) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) | |
| accuracy | 17.452971903211953 | #s(approx (- 3 x) (neg.f64 x)) | |
| accuracy | 0.0390625 | (*.f64 (*.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)))) x) | |
| accuracy | 0.07421875 | (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) | |
| accuracy | 8.904090657646249 | (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| accuracy | 8.905718817334499 | (/.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))) |
| 72.0ms | 118× | 0 | invalid |
| 34.0ms | 111× | 0 | valid |
| 10.0ms | 13× | 2 | valid |
| 8.0ms | 14× | 1 | valid |
Compiled 336 to 49 computations (85.4% saved)
ival-mult: 30.0ms (41.5% of total)ival-add: 10.0ms (13.8% of total)ival-div: 8.0ms (11.1% of total)ival-pow: 8.0ms (11.1% of total)ival-sub: 6.0ms (8.3% of total)adjust: 5.0ms (6.9% of total)ival-sqrt: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.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 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.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)))) x) |
(*.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 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 x x) |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
| Outputs |
|---|
x |
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(pow x 2) |
(+ 3 (* -1 x)) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(* (sqrt x) (sqrt -2)) |
(* -8/9 (pow x 2)) |
(* (pow x 2) (- (* 16/27 x) 8/9)) |
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9)) |
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9)) |
(pow x 3) |
(* x (+ 3 (* 2 x))) |
(* -1 x) |
(* -2 x) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* 1/9 x) |
(* x (+ 1/9 (* -2/27 x))) |
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))) |
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))) |
(/ 27/4 (pow x 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (pow (sqrt -2) 2)) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
-2 |
(- (* 3 (/ 1 x)) 2) |
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3)))) |
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/ 1/4 x) |
(/ (- 1/4 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 2) 2))) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x))) |
| 7.0ms | x | @ | -inf | ((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x))) |
| 4.0ms | x | @ | inf | ((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 542 |
| 1 | 583 | 538 |
| 2 | 1490 | 538 |
| 3 | 4947 | 534 |
| 0 | 8412 | 509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(pow x 2) |
(+ 3 (* -1 x)) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(* (sqrt x) (sqrt -2)) |
(* -8/9 (pow x 2)) |
(* (pow x 2) (- (* 16/27 x) 8/9)) |
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9)) |
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9)) |
(pow x 3) |
(* x (+ 3 (* 2 x))) |
(* -1 x) |
(* -2 x) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* 1/9 x) |
(* x (+ 1/9 (* -2/27 x))) |
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))) |
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))) |
(/ 27/4 (pow x 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (pow (sqrt -2) 2)) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
-2 |
(- (* 3 (/ 1 x)) 2) |
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3)))) |
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/ 1/4 x) |
(/ (- 1/4 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 2) 2))) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x)) |
| Outputs |
|---|
x |
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) |
(* 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) |
(pow x 2) |
(*.f64 x x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (sqrt x) (sqrt -2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64))) |
(* -8/9 (pow x 2)) |
(*.f64 (*.f64 #s(literal -8/9 binary64) x) x) |
(* (pow x 2) (- (* 16/27 x) 8/9)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 16/27 binary64) x) #s(literal 8/9 binary64)) x) x) |
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9)) |
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -64/243 binary64) (*.f64 x x) #s(literal 16/27 binary64)) x) #s(literal 8/9 binary64)) x) x) |
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9)) |
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 128/729 binary64) x) #s(literal 64/243 binary64)) (*.f64 x x) #s(literal 16/27 binary64)) x) #s(literal 8/9 binary64)) x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(* 1/9 x) |
(*.f64 #s(literal 1/9 binary64) x) |
(* x (+ 1/9 (* -2/27 x))) |
(*.f64 (fma.f64 #s(literal -2/27 binary64) x #s(literal 1/9 binary64)) x) |
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/243 binary64) (*.f64 x x)) #s(literal 2/27 binary64)) x #s(literal 1/9 binary64)) x) |
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/729 binary64) x #s(literal 8/243 binary64)) x) x) #s(literal 2/27 binary64)) x #s(literal 1/9 binary64)) x) |
(/ 27/4 (pow x 2)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(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 3) (- (* 3 (/ 1 x)) 2)) |
(*.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)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* x (pow (sqrt -2) 2)) |
(*.f64 #s(literal -2 binary64) x) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
-2 |
#s(literal -2 binary64) |
(- (* 3 (/ 1 x)) 2) |
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) |
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3)))) |
(-.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 27/4 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3)))) |
(-.f64 (-.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(/ (- 1/4 (* 3/8 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) x) (-.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) 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) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (pow (sqrt 2) 2))) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2) |
(-.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 27/4 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) #s(literal 3 binary64)) (neg.f64 x)) #s(literal 2 binary64)) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/4 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 265 |
| 0 | 80 | 248 |
| 1 | 309 | 210 |
| 0 | 2093 | 210 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.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)))) x) |
(*.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 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 x x) |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(neg.f64 x) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))) |
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (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 x #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) #s(literal 1 binary64)) (-.f64 (*.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)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) x)) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (neg.f64 x))) |
(*.f64 (*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x)) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1 binary64)) x) x) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (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 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)) |
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(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(/.f64 (/.f64 #s(literal 27/4 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 #s(literal 27/4 binary64) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 27/4 binary64) x) x) |
(/.f64 #s(literal -27/4 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 x x))) |
Compiled 13 896 to 1 565 computations (88.7% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 4 | 519 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 519 | 13 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 97.3% | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) | |
| ✓ | 78.8% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 99.8% | (*.f64 (*.f64 #s(approx (/ (* (+ (* -2 x) 3) x) 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))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x) | |
| ✓ | 69.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 22.9% | (*.f64 (*.f64 x x) (fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal -8 binary64) x) x) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) | |
| 22.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) | |
| ✓ | 53.8% | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| ✓ | 74.7% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| ✓ | 69.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 74.7% | #s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 722 to 289 computations (60% saved)
| Inputs |
|---|
(*.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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))) |
(/.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 (*.f64 #s(approx (/ (* (+ (* -2 x) 3) x) 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))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (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 (/.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)))) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal -8 binary64) x) x) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #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 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
2 calls:
| 11.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 99.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.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)))) |
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 |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 99.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
2 calls:
| 4.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 99.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 98.6% | 3 | x |
Compiled 10 to 8 computations (20% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
(*.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) |
| 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 |
|---|---|---|
| 69.5% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 69.5% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.892902141111966e-24 | 162.24835259462802 |
| 15.0ms | -16.08042219332681 | -2.993839301979434e-11 |
| 15.0ms | 336× | 0 | valid |
Compiled 516 to 452 computations (12.4% saved)
ival-mult: 6.0ms (73.3% of total)ival-sub: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 43 | 72 |
| 2 | 65 | 72 |
| 3 | 87 | 72 |
| 4 | 108 | 72 |
| 5 | 132 | 72 |
| 6 | 288 | 72 |
| 7 | 1915 | 72 |
| 8 | 3587 | 72 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 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 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 38 | 20 |
| 2 | 230 | 20 |
| 3 | 1783 | 20 |
| 0 | 9278 | 18 |
| 0 | 31 | 176 |
| 0 | 54 | 178 |
| 1 | 212 | 150 |
| 2 | 1658 | 150 |
| 0 | 8372 | 148 |
| 1× | fuel |
| 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 72 to 30 computations (58.3% saved)
Compiled 180 to 88 computations (51.1% saved)
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