
Time bar (total: 5.3s)
| 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)
| 544.0ms | 8 256× | 0 | valid |
ival-mult: 195.0ms (77.5% of total)ival-sub: 40.0ms (15.9% of total)exact: 8.0ms (3.2% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% 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 |
| 30.0ms | 512× | 0 | valid |
Compiled 105 to 47 computations (55.2% saved)
ival-mult: 10.0ms (71.4% of total)ival-sub: 3.0ms (21.4% of total)exact: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 | 0.09765625 | (*.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: 6.0ms (77.7% of total)ival-sub: 1.0ms (13% 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)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 284 | 11 | 295 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 11 | 296 |
| Status | Accuracy | Program |
|---|---|---|
| 86.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| ▶ | 96.6% | (/.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 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) | |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) 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 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) | |
| 69.2% | (*.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 #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) |
| 75.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 75.7% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 278 to 198 computations (28.8% 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 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 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)) |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 145 |
| 0 | 39 | 143 |
| 1 | 70 | 141 |
| 2 | 126 | 141 |
| 3 | 287 | 141 |
| 4 | 494 | 141 |
| 5 | 706 | 141 |
| 6 | 984 | 141 |
| 7 | 1771 | 141 |
| 8 | 2754 | 140 |
| 9 | 3237 | 140 |
| 10 | 4571 | 140 |
| 0 | 8092 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(/.f64 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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.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 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 | 0.046875 | (*.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 | 2.15878267373737 | (/.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 | 0.1015625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.1171875 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) | |
| accuracy | 0.3125916464129943 | (/.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 | 0.1015625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 31.313755712988286 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 51.0ms | 226× | 0 | valid |
| 5.0ms | 15× | 2 | valid |
| 3.0ms | 12× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 303 to 52 computations (82.8% saved)
ival-mult: 33.0ms (72.4% of total)ival-div: 5.0ms (11% of total)ival-add: 4.0ms (8.8% of total)adjust: 2.0ms (4.4% of total)ival-sub: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(/.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 |
(+ 3 (* -2 x)) |
(pow x 2) |
(* 3 x) |
(* x (+ 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) |
(* 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 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 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 | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) 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 | @ | 0 | ((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) 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 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) 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 | 1614 | 269 |
| 4 | 3895 | 265 |
| 5 | 6495 | 265 |
| 0 | 8085 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(* 3 x) |
(* x (+ 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) |
(* 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 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 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 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 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) |
(/ 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 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 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) |
(/ -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 | 9060 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(/.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 (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) (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 (*.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 (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)))))) |
(*.f64 (/.f64 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)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(*.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)))) |
(*.f64 (/.f64 x (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)) x))) |
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(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(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 | 1 541 | 10 | 1 551 |
| Fresh | 6 | 0 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 549 | 13 | 1 562 |
| Status | Accuracy | Program |
|---|---|---|
| 86.6% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| 49.9% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) | |
| 99.7% | (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) | |
| ▶ | 64.4% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 75.6% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 99.5% | (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 64.4% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 75.7% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 75.7% | #s(approx (* (+ (* -2 x) 3) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 299 to 229 computations (23.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) | |
| 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 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 178 |
| 0 | 51 | 178 |
| 1 | 87 | 176 |
| 2 | 139 | 176 |
| 3 | 279 | 176 |
| 4 | 415 | 176 |
| 5 | 522 | 176 |
| 6 | 630 | 176 |
| 7 | 909 | 176 |
| 8 | 1139 | 176 |
| 9 | 1246 | 176 |
| 10 | 1861 | 176 |
| 11 | 3278 | 176 |
| 12 | 4752 | 176 |
| 13 | 5301 | 176 |
| 14 | 5911 | 176 |
| 15 | 6267 | 176 |
| 16 | 6853 | 176 |
| 17 | 7658 | 176 |
| 0 | 8006 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 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 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(/.f64 x (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 (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) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 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 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(*.f64 (*.f64 (/.f64 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 x (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 (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) |
#s(literal 9 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.32169883764565527 | (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1171875 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 0.24618539641299428 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 31.32451560234955 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0.1171875 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.39453125 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 30.36623233754051 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| accuracy | 0.1015625 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| accuracy | 31.313755712988286 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
| 65.0ms | 226× | 0 | valid |
| 6.0ms | 15× | 2 | valid |
| 4.0ms | 12× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 340 to 70 computations (79.4% saved)
ival-mult: 37.0ms (60.8% of total)ival-div: 10.0ms (16.4% of total)ival-add: 5.0ms (8.2% of total)const: 4.0ms (6.6% of total)adjust: 2.0ms (3.3% of total)ival-sub: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 x x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(/.f64 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 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
| Outputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
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)) |
(* 1/3 x) |
(* x (+ 1/3 (* -2/9 x))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(+ 3 (* 2 x)) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* 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 |
(- 1/2 (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(* 2 x) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 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)) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((+ (* (* x x) -2) (* 3 x)) (* (+ (* (* x x) -2) (* 3 x)) x) (* x x) (* 3 x) (* (* (- 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 (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (+ (* 2 x) 3) (* (+ (* -4 (* x x)) 9) x)) |
| 2.0ms | x | @ | -inf | ((+ (* (* x x) -2) (* 3 x)) (* (+ (* (* x x) -2) (* 3 x)) x) (* x x) (* 3 x) (* (* (- 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 (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (+ (* 2 x) 3) (* (+ (* -4 (* x x)) 9) x)) |
| 2.0ms | x | @ | inf | ((+ (* (* x x) -2) (* 3 x)) (* (+ (* (* x x) -2) (* 3 x)) x) (* x x) (* 3 x) (* (* (- 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 (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (+ (* 2 x) 3) (* (+ (* -4 (* x x)) 9) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 332 |
| 1 | 373 | 328 |
| 2 | 863 | 320 |
| 3 | 2098 | 316 |
| 4 | 5133 | 312 |
| 0 | 8109 | 287 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
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)) |
(* 1/3 x) |
(* x (+ 1/3 (* -2/9 x))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(+ 3 (* 2 x)) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* 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 |
(- 1/2 (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(* 2 x) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 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)) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
| 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) |
(pow x 2) |
(*.f64 x 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)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -2/9 x))) |
(*.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(*.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 (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(*.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) |
(+ 3 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -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 x) |
(*.f64 #s(literal -2 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 (/.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)) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 3/4 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) 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)) |
(* -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)) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 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)) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 152 |
| 0 | 51 | 147 |
| 1 | 193 | 144 |
| 2 | 1160 | 144 |
| 0 | 9147 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 x x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(/.f64 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 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 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 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 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.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 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.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 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 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)) #s(literal 1 binary64)) (/.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 x (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 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (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 (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 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 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 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 (neg.f64 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 (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 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal -36 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 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 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x))))))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 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 (*.f64 (neg.f64 x) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal -36 binary64) (*.f64 x x))))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) x) (*.f64 #s(literal 9 binary64) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) x) (*.f64 x #s(literal 9 binary64))) |
(fma.f64 x (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 #s(literal 9 binary64) x)) |
(fma.f64 x (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 x #s(literal 9 binary64))) |
(fma.f64 x #s(literal 9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) (*.f64 #s(literal 1 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 -4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))) |
(+.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 9 binary64) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal 9 binary64))) |
(+.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
Compiled 17 990 to 2 327 computations (87.1% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 783 | 5 | 788 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 788 | 13 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.6% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| ▶ | 75.6% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
| ✓ | 64.4% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 75.6% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #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) |
| ▶ | 75.7% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 64.4% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ▶ | 66.8% | (*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
| 75.7% | #s(approx (* (+ (* (* x x) -2) (* 3 x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 258 to 194 computations (24.8% 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 (*.f64 x x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal -2 binary64)) x) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) | |
| cost-diff | 384 | (/.f64 x #s(literal 1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 193 |
| 0 | 60 | 191 |
| 1 | 103 | 191 |
| 2 | 161 | 191 |
| 3 | 275 | 191 |
| 4 | 418 | 191 |
| 5 | 495 | 191 |
| 6 | 615 | 191 |
| 7 | 907 | 188 |
| 8 | 1171 | 188 |
| 9 | 1299 | 188 |
| 10 | 1840 | 188 |
| 11 | 2821 | 188 |
| 12 | 3827 | 188 |
| 13 | 4015 | 188 |
| 14 | 4208 | 188 |
| 15 | 4353 | 188 |
| 16 | 4425 | 188 |
| 17 | 4600 | 188 |
| 18 | 4668 | 188 |
| 19 | 4668 | 188 |
| 20 | 4868 | 188 |
| 21 | 4946 | 188 |
| 22 | 4976 | 188 |
| 23 | 4976 | 188 |
| 24 | 4976 | 188 |
| 25 | 4976 | 188 |
| 26 | 4976 | 188 |
| 27 | 4980 | 188 |
| 0 | 4980 | 178 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(/.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
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) |
#s(literal 9 binary64) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
#s(literal 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 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(/.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal -4 binary64) |
(*.f64 x x) |
#s(literal 9 binary64) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 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 | 0.0625 | (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
| accuracy | 0.0703125 | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| accuracy | 19.314998669314985 | #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| accuracy | 5.761671274094734 | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.20703125 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 0.28654258764565527 | (*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) | |
| accuracy | 20.518230425931794 | #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) | |
| accuracy | 0.0390625 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| accuracy | 19.264402993084648 | #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) | |
| accuracy | 0.1484375 | (/.f64 x #s(literal 1/3 binary64)) |
| 98.0ms | 94× | 5 | exit |
| 73.0ms | 156× | 0 | valid |
| 2.0ms | 3× | 3 | valid |
| 1.0ms | 2× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 362 to 81 computations (77.6% saved)
ival-mult: 36.0ms (25.3% of total)adjust: 27.0ms (19% of total)ival-sub: 24.0ms (16.9% of total)ival-div: 19.0ms (13.4% of total)ival-add: 18.0ms (12.7% of total)const: 17.0ms (12% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
(*.f64 x x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 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) |
| Outputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* 1/3 x) |
(* x (+ 1/3 (* -2/9 x))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -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) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
1/2 |
(- 1/2 (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ x 1/3) (+ (* (* x x) -2) (/ x 1/3)) (* (+ (* (* x x) -2) (/ x 1/3)) x) (* x x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (* (/ x (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (* 1/3 x) (* (+ (* -4 (* x x)) 9) x) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x)) |
| 3.0ms | x | @ | inf | ((/ x 1/3) (+ (* (* x x) -2) (/ x 1/3)) (* (+ (* (* x x) -2) (/ x 1/3)) x) (* x x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (* (/ x (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (* 1/3 x) (* (+ (* -4 (* x x)) 9) x) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x)) |
| 2.0ms | x | @ | 0 | ((/ x 1/3) (+ (* (* x x) -2) (/ x 1/3)) (* (+ (* (* x x) -2) (/ x 1/3)) x) (* x x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* -2 x) (* (/ x (+ (* 2 x) 3)) (* (+ (* -4 (* x x)) 9) x)) (/ x (+ (* 2 x) 3)) (* 1/3 x) (* (+ (* -4 (* x x)) 9) x) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ (/ -1/2 x) x) (/ -1/2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 322 |
| 1 | 361 | 318 |
| 2 | 847 | 310 |
| 3 | 2085 | 306 |
| 4 | 5223 | 302 |
| 0 | 8112 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(* 1/3 x) |
(* x (+ 1/3 (* -2/9 x))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -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) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
1/2 |
(- 1/2 (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
| 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) |
(pow x 2) |
(*.f64 x 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) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -2/9 x))) |
(*.f64 (fma.f64 #s(literal -2/9 binary64) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(*.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 (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(*.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 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 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)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) 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)) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 3/4 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) |
(* -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)) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) 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)) |
(* -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)) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 9 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 167 |
| 0 | 60 | 165 |
| 1 | 218 | 162 |
| 2 | 1361 | 162 |
| 0 | 8783 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
(*.f64 x x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 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) |
| Outputs |
|---|
(*.f64 (neg.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 x #s(literal 3 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 x #s(literal 1/3 binary64)) |
(neg.f64 (*.f64 x #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 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 (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 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 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 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 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 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(*.f64 #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 -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) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (*.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 (neg.f64 (*.f64 x (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) |
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(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) |
Compiled 10 683 to 1 655 computations (84.5% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 2 | 503 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 503 | 13 | 516 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.6% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| ✓ | 75.6% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
| ✓ | 64.4% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 75.6% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #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) |
| ✓ | 75.7% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 64.4% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 64.3% | (*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) #s(approx (* (+ (* -4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x))) | |
| 75.7% | #s(approx (* (+ (* (* x x) -2) (/ x 1/3)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 577 to 248 computations (57% 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 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) #s(approx (* (+ (* -4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.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 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 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))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) x) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 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 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.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) 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 (/.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))) |
#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 x) -2) (* 3 x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
#s(approx (* (+ (* (* x x) -2) (/ x 1/3)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
2 calls:
| 8.0ms | x |
| 7.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) #s(approx (* (+ (* -4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | 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 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) #s(approx (* (+ (* -4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.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:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
| 98.6% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 8 computations (20% saved)
Total -0.1b remaining (-0.6%)
Threshold costs -0.1b (-0.6%)
| 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 #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) #s(approx (* (+ (* -4 (* x x)) 9) x) (*.f64 #s(literal 9 binary64) x))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 1 | x |
| 64.5% | 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 | 2.7048195196155555e-6 | 2.3763687481409562e+20 |
| 0.0ms | -8.869467835435096e+20 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 88 |
| 1 | 38 | 88 |
| 2 | 50 | 88 |
| 3 | 56 | 88 |
| 4 | 60 | 88 |
| 5 | 61 | 88 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.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 -500000000000000000000 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 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -500000000000000000000 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 5902958103587057/1180591620717411303424 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 -500000000000000000000 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 5902958103587057/1180591620717411303424 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 157 to 64 computations (59.2% saved)
Compiled 212 to 82 computations (61.3% saved)
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