
Time bar (total: 7.7s)
| 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)
| 900.0ms | 8 256× | 0 | valid |
ival-mult: 491.0ms (86.6% of total)ival-sub: 61.0ms (10.8% of total)exact: 7.0ms (1.2% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 512× | 0 | valid |
Compiled 60 to 25 computations (58.3% saved)
ival-mult: 9.0ms (69.9% of total)ival-sub: 2.0ms (15.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 308× | lower-fma.f64 |
| 308× | lower-fma.f32 |
| 196× | lower-*.f32 |
| 193× | lower-*.f64 |
| 102× | associate-*r* |
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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
Compiled 10 to 7 computations (30% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 10 to 7 computations (30% 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))) |
| 308× | lower-fma.f64 |
| 308× | lower-fma.f32 |
| 196× | lower-*.f32 |
| 193× | lower-*.f64 |
| 83× | associate-*r* |
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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 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 | 0.15234375 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 12.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 5.0ms (78.5% of total)ival-sub: 1.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (patch (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (- 3 (* x 2)) |
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | 0 | (* (* x x) (- 3 (* x 2))) |
| 0.0ms | x | @ | -inf | (* x 2) |
| 0.0ms | x | @ | inf | (* x 2) |
| 1× | egg-herbie |
| 10 325× | lower-fma.f64 |
| 10 325× | lower-fma.f32 |
| 1 556× | lower-*.f64 |
| 1 556× | lower-*.f32 |
| 1 360× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 220 |
| 1 | 63 | 220 |
| 2 | 165 | 220 |
| 3 | 494 | 220 |
| 4 | 1369 | 220 |
| 5 | 2276 | 220 |
| 6 | 3140 | 220 |
| 7 | 3877 | 220 |
| 8 | 5631 | 220 |
| 9 | 6275 | 220 |
| 10 | 6644 | 220 |
| 0 | 8428 | 202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
| 4 667× | lower-fma.f64 |
| 4 667× | lower-fma.f32 |
| 2 072× | lower-*.f32 |
| 2 069× | lower-*.f64 |
| 1 922× | lower-/.f64 |
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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 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) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 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) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) #s(literal 729 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 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) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 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) (*.f64 (*.f64 x x) x) #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) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 19683 binary64) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) #s(literal 729 binary64)))) |
(*.f64 (-.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)) #s(literal 1/9 binary64))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) (/.f64 #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 (*.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 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 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 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.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 (fma.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 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 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 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 #s(literal 4 binary64) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 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)) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #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) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) #s(literal 729 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 19683 binary64) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) #s(literal 729 binary64))))) |
(*.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) #s(literal 81 binary64))))) |
(*.f64 (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (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 -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -8 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (*.f64 x x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.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 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -8 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x) x))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -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))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (*.f64 x x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (neg.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 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -8 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x) x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal -8 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #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))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x)) |
(+.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(*.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 (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) 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 10 134 to 957 computations (90.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 10 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 326 | 10 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| 85.3% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) | |
| ▶ | 99.7% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
| ▶ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) | |
| 95.0% | (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| 72.5% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))))) | |
| ▶ | 73.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| 60.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| ▶ | 60.8% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
Compiled 250 to 148 computations (40.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 1088 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #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)) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| cost-diff | 0 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 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))) |
| 440× | lower-fma.f32 |
| 439× | lower-fma.f64 |
| 330× | times-frac |
| 328× | lower-*.f32 |
| 321× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 132 |
| 0 | 36 | 134 |
| 1 | 65 | 125 |
| 2 | 98 | 125 |
| 3 | 179 | 125 |
| 4 | 313 | 125 |
| 5 | 397 | 125 |
| 6 | 599 | 125 |
| 7 | 1073 | 125 |
| 8 | 1388 | 125 |
| 9 | 1616 | 125 |
| 10 | 2209 | 125 |
| 11 | 2596 | 125 |
| 12 | 2770 | 125 |
| 13 | 2780 | 125 |
| 14 | 2782 | 125 |
| 15 | 2785 | 125 |
| 16 | 2786 | 125 |
| 17 | 2786 | 125 |
| 0 | 2786 | 125 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(*.f64 (*.f64 x x) (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 #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) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.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))) |
(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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| accuracy | 0.1875 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (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 | (*.f64 x x) | |
| accuracy | 0.15234375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 30.283624343060595 | #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 #s(literal 3 binary64) x) x) | |
| accuracy | 25.027577665484564 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.09375 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) | |
| accuracy | 0.6669893532211975 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
| 64.0ms | 238× | 0 | valid |
| 3.0ms | 9× | 2 | valid |
| 2.0ms | 9× | 1 | valid |
Compiled 129 to 22 computations (82.9% saved)
ival-mult: 37.0ms (72.6% of total)ival-div: 10.0ms (19.6% of total)adjust: 1.0ms (2% of total)ival-add: 1.0ms (2% of total)ival-sub: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (patch #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 2/9 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 2/9 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (+ (* -2 x) 3) x) |
| 0.0ms | x | @ | inf | (* (* 3 x) x) |
| 0.0ms | x | @ | -inf | (* 3 x) |
| 0.0ms | x | @ | 0 | (* 3 x) |
| 0.0ms | x | @ | 0 | (/ x (/ 1 (* (+ (* -2 x) 3) x))) |
| 1× | egg-herbie |
| 3 399× | lower-fma.f64 |
| 3 399× | lower-fma.f32 |
| 1 249× | lower-*.f64 |
| 1 249× | lower-*.f32 |
| 752× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1072 |
| 1 | 246 | 1064 |
| 2 | 594 | 1052 |
| 3 | 1403 | 1052 |
| 4 | 3095 | 1052 |
| 5 | 6207 | 1052 |
| 0 | 8361 | 968 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 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 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
1/3 |
(+ 1/3 (* 2/9 x)) |
(+ 1/3 (* x (+ 2/9 (* 4/27 x)))) |
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ -1/2 (pow x 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 -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 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 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 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)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 2/9 x)) |
(fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) |
(+ 1/3 (* x (+ 2/9 (* 4/27 x)))) |
(fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) |
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) |
(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)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) x) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/2 binary64)) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x) #s(literal 1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) x) |
| 2 165× | lower-fma.f32 |
| 2 164× | lower-fma.f64 |
| 1 662× | lower-*.f32 |
| 1 655× | lower-*.f64 |
| 1 134× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 103 |
| 0 | 36 | 105 |
| 1 | 117 | 96 |
| 2 | 616 | 96 |
| 3 | 6004 | 96 |
| 0 | 8103 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.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) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.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 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x) x) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64)))) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))))) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (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)) (*.f64 #s(literal 6 binary64) x))) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 729 binary64)) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 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 (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)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (-.f64 (*.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)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 #s(literal -2 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -3 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)))) |
(fma.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 (*.f64 #s(literal -6 binary64) x) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64)))) (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (*.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -3 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)))) |
Compiled 29 903 to 2 634 computations (91.2% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 565 | 9 | 1 574 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 568 | 16 | 1 584 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.3% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
| 73.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) (/.f64 #s(literal -1/2 binary64) x))) | |
| 60.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) | |
| 99.8% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) | |
| ▶ | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
| 72.3% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) x)))) | |
| 60.8% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) | |
| 73.7% | (/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 73.7% | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 95.0% | (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) | |
| 72.5% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))))) | |
| ✓ | 73.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| ▶ | 60.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 60.8% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
Compiled 379 to 231 computations (39.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) | |
| cost-diff | 384 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 640 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 4 675× | lower-fma.f32 |
| 4 671× | lower-fma.f64 |
| 1 380× | lower-*.f32 |
| 1 369× | lower-*.f64 |
| 842× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 56 | 191 |
| 1 | 100 | 175 |
| 2 | 192 | 174 |
| 3 | 483 | 173 |
| 4 | 1362 | 173 |
| 5 | 3158 | 167 |
| 6 | 4753 | 167 |
| 7 | 6945 | 167 |
| 0 | 8023 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
(*.f64 (/.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (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))) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) | |
| accuracy | 0.14453125 | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) | |
| accuracy | 0.25 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) | |
| accuracy | 0.6669893532211975 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.109375 | (/.f64 x (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 30.283624343060595 | #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 9.347579875717619 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 32.854479514135335 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 69.0ms | 219× | 0 | valid |
| 13.0ms | 22× | 1 | valid |
| 8.0ms | 15× | 2 | valid |
Compiled 201 to 36 computations (82.1% saved)
ival-mult: 27.0ms (39.6% of total)ival-add: 25.0ms (36.7% of total)ival-div: 12.0ms (17.6% of total)adjust: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2/9 x) 1/3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) 1/2) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
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#s(alt -1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) 1/2) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (* (/ -1 (+ (* 2 x) 3)) x) |
| 1.0ms | x | @ | 0 | (/ x (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x)))) |
| 0.0ms | x | @ | inf | (/ x (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x)))) |
| 0.0ms | x | @ | -inf | (/ x (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x)))) |
| 0.0ms | x | @ | -inf | (* (* x x) x) |
| 1× | egg-herbie |
| 4 376× | lower-fma.f64 |
| 4 376× | lower-fma.f32 |
| 1 423× | lower-*.f64 |
| 1 423× | lower-*.f32 |
| 784× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1266 |
| 1 | 299 | 1266 |
| 2 | 717 | 1252 |
| 3 | 1662 | 1248 |
| 4 | 3664 | 1244 |
| 5 | 6868 | 1244 |
| 0 | 8180 | 1142 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 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 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #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) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 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 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 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) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #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) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 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)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 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) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #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) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x 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) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #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) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 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 (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 -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(/ (- (* -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)) |
(* 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) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #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) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 2/9 x) 1/3)) |
(*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal -1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal -1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(*.f64 (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 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (-.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x) #s(literal 1/2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 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 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
| 4 822× | lower-fma.f32 |
| 4 818× | lower-fma.f64 |
| 2 808× | lower-*.f32 |
| 2 797× | lower-*.f64 |
| 1 510× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 0 | 56 | 127 |
| 1 | 197 | 111 |
| 2 | 1308 | 111 |
| 0 | 9051 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)) |
(*.f64 x #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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)))) |
(*.f64 (/.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 x (pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #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 (neg.f64 x) (pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 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 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x 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 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.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)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64))))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.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) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
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(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(+.f64 (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) (*.f64 #s(literal 3 binary64) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
(*.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
Compiled 33 473 to 2 780 computations (91.7% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 560 | 6 | 1 566 |
| Fresh | 5 | 3 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 565 | 17 | 1 582 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.3% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
| 73.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) (/.f64 #s(literal -1/2 binary64) x))) | |
| ▶ | 60.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
| 99.7% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) | |
| ▶ | 99.8% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
| ✓ | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
| 60.8% | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal 1/3 binary64) x))) | |
| ▶ | 73.7% | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) |
| ▶ | 99.7% | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 73.7% | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| 95.0% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 73.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | 60.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 60.8% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
Compiled 305 to 200 computations (34.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 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 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
| 3 015× | lower-fma.f32 |
| 3 012× | lower-fma.f64 |
| 1 825× | lower-*.f32 |
| 1 820× | lower-*.f64 |
| 1 023× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 216 |
| 0 | 65 | 216 |
| 1 | 109 | 207 |
| 2 | 203 | 203 |
| 3 | 509 | 201 |
| 4 | 1567 | 197 |
| 5 | 2877 | 197 |
| 6 | 5567 | 197 |
| 0 | 8327 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -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 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
#s(literal -9 binary64) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) 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) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) x) |
(*.f64 x x) |
x |
#s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -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 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
#s(literal -9 binary64) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.6318241896256065 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.7824228301981421 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) | |
| accuracy | 30.283624343060595 | #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) | |
| accuracy | 0.19296384254663354 | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.09375 | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 0.6123018532211975 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 30.277184631047394 | #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1875 | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) | |
| accuracy | 32.623019813779074 | #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.09375 | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) | |
| accuracy | 0.203125 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| 86.0ms | 256× | 0 | valid |
Compiled 203 to 42 computations (79.3% saved)
ival-div: 37.0ms (54% of total)ival-mult: 21.0ms (30.6% of total)ival-add: 5.0ms (7.3% of total)const: 4.0ms (5.8% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (patch (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (patch #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (patch (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 4 binary64) x) (patch (*.f64 #s(literal 4 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) (patch (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (patch (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* 2/9 x)) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2/9 x) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) 1/2) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3/4 (/ 1 x)) 1/2) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (+ (* (* 4 x) x) -9) (* (/ x (+ (* x -2) -3)) x)) |
| 0.0ms | x | @ | -inf | (* 4 x) |
| 0.0ms | x | @ | 0 | (/ -1/2 (* x x)) |
| 0.0ms | x | @ | inf | (* 4 x) |
| 0.0ms | x | @ | 0 | (* (+ (* (* 4 x) x) -9) (* (/ x (+ (* x -2) -3)) x)) |
| 1× | egg-herbie |
| 3 847× | lower-fma.f64 |
| 3 847× | lower-fma.f32 |
| 1 514× | lower-*.f64 |
| 1 514× | lower-*.f32 |
| 1 108× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1638 |
| 1 | 472 | 1582 |
| 2 | 1264 | 1582 |
| 3 | 3115 | 1562 |
| 4 | 7272 | 1562 |
| 0 | 8066 | 1448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 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 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/3 |
(+ 1/3 (* 2/9 x)) |
(+ 1/3 (* x (+ 2/9 (* 4/27 x)))) |
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 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 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
-9 |
(- (* 4 (pow x 2)) 9) |
(- (* 4 (pow x 2)) 9) |
(- (* 4 (pow x 2)) 9) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* 4 x) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/9 x) 1/3)) |
(* (pow x 2) (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* (pow x 2) (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(* -1/2 x) |
(* x (- (* 3/4 (/ 1 x)) 1/2)) |
(* x (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2))))) |
(* x (- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2))))) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (* 3/4 (/ 1 x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1/3 x) |
(* x (- (* 2/9 x) 1/3)) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
-1/2 |
(- (* 3/4 (/ 1 x)) 1/2) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(/ -1/2 (pow x 2)) |
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(/.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/.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)) (*.f64 x x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 2/9 x) 1/3)) |
(*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal -1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal -1/3 binary64)) x) |
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)) |
(*.f64 (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 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 3/4 (/ 1 x)) 1/2) |
(-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)) x) #s(literal 1/2 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #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) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
| 2 144× | lower-fma.f32 |
| 2 141× | lower-fma.f64 |
| 2 044× | lower-*.f32 |
| 2 039× | lower-*.f64 |
| 2 033× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 187 |
| 0 | 65 | 182 |
| 1 | 260 | 147 |
| 2 | 1676 | 147 |
| 0 | 8662 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
(*.f64 x x) |
#s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x))))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (/.f64 (*.f64 (neg.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 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 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 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)))) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x))))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x))))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
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(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (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 2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 8 binary64) (*.f64 (*.f64 x x) x) #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 (neg.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #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) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal -27 binary64))) (/.f64 x (/.f64 #s(literal 1 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) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(/.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(/.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))) |
(neg.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (neg.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (neg.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) |
Compiled 26 177 to 2 696 computations (89.7% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 308 | 5 | 1 313 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 314 | 16 | 1 330 |
| Status | Accuracy | Program |
|---|---|---|
| 73.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) (/.f64 #s(literal -1/2 binary64) x))) | |
| ✓ | 60.7% | (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
| 99.7% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) | |
| 60.8% | (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) x)) | |
| ✓ | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
| 73.7% | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| ✓ | 73.7% | (/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 73.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) | |
| 67.9% | (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) -3)) (*.f64 #s(literal -1/3 binary64) x)) x)) | |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 73.7% | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| 95.0% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 73.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | 60.7% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 60.8% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
Compiled 537 to 220 computations (59% saved)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 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)) (*.f64 x x)) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) -3)) (*.f64 #s(literal -1/3 binary64) x)) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) 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)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) x)))) |
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))))) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
2 calls:
| 10.0ms | x |
| 8.0ms | (*.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 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 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)) (*.f64 x x)) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* -2 x) 3)) #s(literal 1/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) -3)) (*.f64 #s(literal -1/3 binary64) x)) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -2 binary64))) |
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -2 x) 3)) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 x #s(approx (/ 1 (* (+ (* (* 4 x) x) -9) (* (/ -1 (+ (* 2 x) 3)) x))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
2 calls:
| 8.0ms | x |
| 5.0ms | (*.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 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 1 | x |
| 60.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.007672801293305e-7 | 1021.352608062981 |
| 0.0ms | -120291681937934340.0 | 0.0 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 98 |
| 1 | 46 | 98 |
| 2 | 57 | 98 |
| 3 | 63 | 98 |
| 4 | 67 | 98 |
| 5 | 68 | 98 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -100000000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
| Outputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -100000000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -100000000000000000 binary64)) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) |
| 10 325× | lower-fma.f64 |
| 10 325× | lower-fma.f32 |
| 4 667× | lower-fma.f64 |
| 4 667× | lower-fma.f32 |
| 2 072× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 220 |
| 1 | 63 | 220 |
| 2 | 165 | 220 |
| 3 | 494 | 220 |
| 4 | 1369 | 220 |
| 5 | 2276 | 220 |
| 6 | 3140 | 220 |
| 7 | 3877 | 220 |
| 8 | 5631 | 220 |
| 9 | 6275 | 220 |
| 10 | 6644 | 220 |
| 0 | 8428 | 202 |
| 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 129 to 55 computations (57.4% saved)
Compiled 182 to 76 computations (58.2% saved)
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