
Time bar (total: 5.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 517.0ms | 8 256× | 0 | valid |
ival-mult: 232.0ms (74.5% of total)ival-sub: 64.0ms (20.6% of total)exact: 7.0ms (2.2% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (1% 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 |
| 27.0ms | 512× | 0 | valid |
Compiled 82 to 32 computations (61% saved)
ival-mult: 9.0ms (56.6% of total)ival-sub: 5.0ms (31.4% of total)ival-true: 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 | 9 | 19 |
| 1 | 36 | 18 |
| 2 | 120 | 18 |
| 3 | 451 | 18 |
| 4 | 845 | 18 |
| 5 | 940 | 18 |
| 6 | 944 | 18 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 20 | 9 |
| 2 | 48 | 9 |
| 3 | 112 | 9 |
| 4 | 208 | 9 |
| 5 | 266 | 9 |
| 6 | 346 | 9 |
| 7 | 500 | 9 |
| 8 | 623 | 9 |
| 9 | 704 | 9 |
| 10 | 872 | 9 |
| 11 | 874 | 9 |
| 0 | 874 | 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 | 128 | (-.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 | 20 | 23 |
| 2 | 48 | 23 |
| 3 | 112 | 23 |
| 4 | 208 | 23 |
| 5 | 266 | 23 |
| 6 | 346 | 23 |
| 7 | 500 | 23 |
| 8 | 623 | 23 |
| 9 | 704 | 23 |
| 10 | 872 | 23 |
| 11 | 874 | 23 |
| 0 | 874 | 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 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 14.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-mult: 7.0ms (80.8% of total)ival-sub: 1.0ms (11.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 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 | 62 |
| 1 | 63 | 62 |
| 2 | 165 | 62 |
| 3 | 493 | 62 |
| 4 | 1143 | 62 |
| 5 | 2033 | 62 |
| 6 | 2896 | 62 |
| 7 | 3657 | 62 |
| 8 | 5411 | 62 |
| 9 | 6075 | 62 |
| 10 | 6444 | 62 |
| 0 | 8224 | 56 |
| 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)) |
(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) |
(* -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 | 35 | 20 |
| 2 | 219 | 20 |
| 3 | 1759 | 20 |
| 0 | 8516 | 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 (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 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)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 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))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 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 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64))) |
(*.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))) (/.f64 #s(literal 1 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 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))) (/.f64 #s(literal 1 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 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 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 #s(literal 1 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 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 #s(literal 1 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 (*.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.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 (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
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(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(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 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.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 (exp.f64 (log.f64 #s(literal 2 binary64))) x) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.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)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 0 binary64)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(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 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) |
Compiled 7 816 to 966 computations (87.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 10 | 295 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 286 | 10 | 296 |
| Status | Accuracy | Program |
|---|---|---|
| 83.4% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| ▶ | 95.2% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
| 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 95.1% | (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) | |
| 78.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 58.8% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 78.1% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 242 to 182 computations (24.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| 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 | (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 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 145 |
| 0 | 39 | 143 |
| 1 | 70 | 141 |
| 2 | 126 | 141 |
| 3 | 291 | 141 |
| 4 | 508 | 141 |
| 5 | 715 | 141 |
| 6 | 993 | 141 |
| 7 | 1782 | 141 |
| 8 | 2758 | 140 |
| 9 | 3244 | 140 |
| 10 | 4588 | 140 |
| 0 | 8093 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
#s(literal 1 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) |
#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) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (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) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) |
#s(literal 1 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) |
#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) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -3 binary64) 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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| accuracy | 3.0597696225230466 | (/.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 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.09375 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) | |
| accuracy | 0.5368744314390613 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 34.703510660454384 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 38.0ms | 235× | 0 | valid |
| 3.0ms | 10× | 1 | valid |
| 2.0ms | 6× | 2 | valid |
| 2.0ms | 5× | 3 | valid |
Compiled 303 to 52 computations (82.8% saved)
ival-mult: 16.0ms (55.7% of total)ival-div: 5.0ms (17.4% of total)ival-add: 4.0ms (13.9% of total)adjust: 1.0ms (3.5% of total)ival-sub: 1.0ms (3.5% of total)exact: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) 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)) |
(/.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))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) 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))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3))) |
| 2.0ms | x | @ | -inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3))) |
| 2.0ms | x | @ | inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 273 |
| 1 | 252 | 273 |
| 2 | 627 | 269 |
| 3 | 1611 | 269 |
| 4 | 3885 | 265 |
| 5 | 6481 | 265 |
| 0 | 8071 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) 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))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -4 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 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 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) |
(* -4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x) |
(* -4 (pow x 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 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 (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 104 |
| 0 | 39 | 95 |
| 1 | 144 | 93 |
| 2 | 883 | 93 |
| 0 | 9054 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) 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)) |
(/.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))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) x) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) x) |
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 x (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 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 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 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (/.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 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (/.f64 x (pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(*.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))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 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))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 x x))) |
(*.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))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))))) |
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(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 x 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))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #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 -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 #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 -4 binary64) (*.f64 x x) #s(literal 9 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 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 -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -3 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) x))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) x)) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 36 748 to 4 045 computations (89% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 542 | 9 | 1 551 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 548 | 13 | 1 561 |
| Status | Accuracy | Program |
|---|---|---|
| 83.4% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| 99.7% | (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) | |
| ▶ | 58.8% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 78.0% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 99.8% | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 58.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 78.0% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| ✓ | 58.8% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 78.1% | #s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 287 to 219 computations (23.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal -2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) | |
| cost-diff | 320 | (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 173 |
| 0 | 49 | 175 |
| 1 | 78 | 162 |
| 2 | 113 | 162 |
| 3 | 211 | 162 |
| 4 | 375 | 162 |
| 5 | 573 | 162 |
| 6 | 966 | 162 |
| 7 | 1462 | 162 |
| 8 | 1710 | 162 |
| 9 | 1856 | 162 |
| 10 | 2440 | 162 |
| 11 | 3132 | 162 |
| 12 | 3750 | 162 |
| 13 | 3805 | 162 |
| 14 | 3815 | 162 |
| 15 | 3830 | 162 |
| 16 | 3847 | 162 |
| 17 | 3847 | 162 |
| 0 | 3847 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) 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 x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
x |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| accuracy | 0.2512293603746838 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) | |
| accuracy | 0.48632897493565685 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09375 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 0.47046818143906133 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 28.16769117736193 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0.09375 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 33.62485925038911 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.0625 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| accuracy | 34.703510660454384 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 (*.f64 x #s(literal -2 binary64)) x) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
| 82.0ms | 241× | 0 | valid |
| 7.0ms | 10× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 337 to 64 computations (81% saved)
ival-mult: 17.0ms (43.1% of total)ival-div: 14.0ms (35.5% of total)ival-add: 3.0ms (7.6% of total)const: 3.0ms (7.6% of total)adjust: 1.0ms (2.5% of total)ival-sub: 1.0ms (2.5% of total)exact: 1.0ms (2.5% 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 x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) 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)) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(pow x 2) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x)) |
| 2.0ms | x | @ | -inf | ((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x)) |
| 2.0ms | x | @ | inf | ((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (/ 1 (/ 1 (* (* (+ (* -2 x) 3) x) x))) (/ 1 (* (* (+ (* -2 x) 3) x) x)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 313 |
| 1 | 250 | 305 |
| 2 | 662 | 296 |
| 3 | 1637 | 296 |
| 4 | 3802 | 296 |
| 5 | 7784 | 296 |
| 0 | 8255 | 276 |
| 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)) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(pow x 2) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
| Outputs |
|---|
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(/ 1/3 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (pow.f64 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 (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 156 |
| 0 | 49 | 158 |
| 1 | 162 | 145 |
| 2 | 860 | 143 |
| 3 | 7859 | 143 |
| 0 | 9024 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.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 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (+.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) (fma.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) x) (/.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)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (neg.f64 x)) |
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(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
Compiled 11 599 to 1 680 computations (85.5% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 5 | 601 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 601 | 13 | 614 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.4% | (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
| ▶ | 78.0% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
| ✓ | 58.8% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 78.0% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 58.7% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
| ▶ | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 58.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ▶ | 78.0% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 58.8% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 78.1% | #s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 256 to 198 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -2 binary64)) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| cost-diff | 0 | (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 #s(literal -1 binary64) x) | |
| cost-diff | 2176 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 194 |
| 0 | 54 | 188 |
| 1 | 89 | 184 |
| 2 | 132 | 182 |
| 3 | 252 | 182 |
| 4 | 499 | 182 |
| 5 | 696 | 178 |
| 6 | 837 | 178 |
| 7 | 1124 | 178 |
| 8 | 1717 | 178 |
| 9 | 2629 | 178 |
| 10 | 3595 | 178 |
| 11 | 4083 | 178 |
| 12 | 4291 | 178 |
| 13 | 4301 | 178 |
| 14 | 4327 | 178 |
| 15 | 4358 | 178 |
| 16 | 4414 | 178 |
| 17 | 4646 | 178 |
| 18 | 4646 | 178 |
| 19 | 4646 | 178 |
| 0 | 4646 | 173 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
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) |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
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) |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 x x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal -1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
x |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 0.09375 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
| accuracy | 28.16769117736193 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.09375 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) | |
| accuracy | 0.34765625 | (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) | |
| accuracy | 33.62485925038911 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 x x) #s(literal -2 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| accuracy | 10.538975804868654 | (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.0625 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| accuracy | 28.171135088215802 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) | |
| accuracy | 0.48632897493565685 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
| 153.0ms | 242× | 0 | valid |
| 3.0ms | 9× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 359 to 69 computations (80.8% saved)
ival-div: 101.0ms (76.2% of total)ival-mult: 22.0ms (16.6% of total)ival-add: 4.0ms (3% of total)const: 4.0ms (3% of total)adjust: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
(/.f64 #s(literal -1 binary64) 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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(*.f64 #s(literal 3 binary64) x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(/ -1 x) |
(* -3 x) |
(* x (- (* 2 x) 3)) |
-3 |
(- (* 2 x) 3) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* -2 (pow x 2)) |
(pow x 2) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(/ -1/2 x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* 2 x) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ 1 (/ (/ -1 x) (* (+ (* 2 x) -3) x))) (/ -1 x) (* (+ (* 2 x) -3) x) (+ (* 2 x) -3) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (+ (* (* (* x x) -2) x) (* (* 3 x) x)) (* (* x x) -2) (* x x) (* (* 3 x) x) (* (/ -1 x) -1/3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x) (/ (/ -1 x) (* (+ (* 2 x) -3) x)) (* 3 x)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ (/ -1 x) (* (+ (* 2 x) -3) x))) (/ -1 x) (* (+ (* 2 x) -3) x) (+ (* 2 x) -3) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (+ (* (* (* x x) -2) x) (* (* 3 x) x)) (* (* x x) -2) (* x x) (* (* 3 x) x) (* (/ -1 x) -1/3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x) (/ (/ -1 x) (* (+ (* 2 x) -3) x)) (* 3 x)) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ (/ -1 x) (* (+ (* 2 x) -3) x))) (/ -1 x) (* (+ (* 2 x) -3) x) (+ (* 2 x) -3) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (+ (* (* (* x x) -2) x) (* (* 3 x) x)) (* (* x x) -2) (* x x) (* (* 3 x) x) (* (/ -1 x) -1/3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x) (/ (/ -1 x) (* (+ (* 2 x) -3) x)) (* 3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 360 |
| 1 | 268 | 352 |
| 2 | 702 | 343 |
| 3 | 1720 | 343 |
| 4 | 3963 | 343 |
| 5 | 7732 | 343 |
| 0 | 8205 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(/ -1 x) |
(* -3 x) |
(* x (- (* 2 x) 3)) |
-3 |
(- (* 2 x) 3) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* -2 (pow x 2)) |
(pow x 2) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(/ -1/2 x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* 2 x) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -3 x) |
(*.f64 #s(literal -3 binary64) x) |
(* x (- (* 2 x) 3)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) |
-3 |
#s(literal -3 binary64) |
(- (* 2 x) 3) |
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ 1/3 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) 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) |
(* 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) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (- 2 (* 3 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal -3 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)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) x) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (pow.f64 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 (- (* 3 (/ 1 x)) 2))) |
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 176 |
| 0 | 54 | 170 |
| 1 | 179 | 164 |
| 2 | 1030 | 159 |
| 0 | 8315 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
(/.f64 #s(literal -1 binary64) 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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(*.f64 #s(literal 3 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) x) (/.f64 (*.f64 (*.f64 x (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 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (fma.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) x) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) (*.f64 (*.f64 x (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 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1 binary64)) |
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(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.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 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))))) |
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) x) |
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) |
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/3 binary64)) |
(/.f64 x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
Compiled 16 998 to 2 513 computations (85.2% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 817 | 2 | 819 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 819 | 13 | 832 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.4% | (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
| 99.8% | (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 78.0% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
| ✓ | 58.8% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 78.0% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ✓ | 58.7% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 58.8% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ✓ | 78.0% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 58.8% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 78.1% | #s(approx (/ 1 (/ (/ -1 x) (* (+ (* 2 x) -3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 520 to 239 computations (54% 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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) 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 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (/ 1 (/ (/ -1 x) (* (+ (* 2 x) -3) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
2 calls:
| 8.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 (*.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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 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:
| 4.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.1% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0.2%)
Threshold costs -0b (-0.2%)
| 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:
| 2.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | x |
| 58.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.31244524596826e-10 | 1680861878697.395 |
| 0.0ms | -148.8512024901653 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 80 |
| 1 | 36 | 80 |
| 2 | 48 | 80 |
| 3 | 54 | 80 |
| 4 | 58 | 80 |
| 5 | 59 | 80 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -100 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4835703278458517/9671406556917033397649408 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 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -100 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4835703278458517/9671406556917033397649408 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 (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -100 binary64)) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (*.f64 x x)) (if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (*.f64 x x)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 62 |
| 1 | 63 | 62 |
| 2 | 165 | 62 |
| 3 | 493 | 62 |
| 4 | 1143 | 62 |
| 5 | 2033 | 62 |
| 6 | 2896 | 62 |
| 7 | 3657 | 62 |
| 8 | 5411 | 62 |
| 9 | 6075 | 62 |
| 10 | 6444 | 62 |
| 0 | 8224 | 56 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 35 | 20 |
| 2 | 219 | 20 |
| 3 | 1759 | 20 |
| 0 | 8516 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 123 to 52 computations (57.7% saved)
Compiled 196 to 80 computations (59.2% saved)
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