
Time bar (total: 8.7s)
| 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)
| 350.0ms | 8 256× | 0 | valid |
ival-mult: 161.0ms (73.8% of total)ival-sub: 43.0ms (19.7% of total)exact: 7.0ms (3.2% of total)ival-true: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% 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 |
| 33.0ms | 512× | 0 | valid |
Compiled 84 to 40 computations (52.4% saved)
ival-mult: 9.0ms (71.9% of total)ival-sub: 2.0ms (16% 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 |
| 616× | lower-fma.f64 |
| 616× | lower-fma.f32 |
| 392× | lower-*.f32 |
| 386× | lower-*.f64 |
| 204× | 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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))) |
| 616× | lower-fma.f64 |
| 616× | lower-fma.f32 |
| 392× | lower-*.f32 |
| 386× | lower-*.f64 |
| 166× | 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#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 | 0.1171875 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 22.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 7.0ms (79.7% of total)ival-sub: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))> |
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | inf | (- 3 (* x 2)) |
| 0.0ms | x | @ | 0 | (* (* x x) (- 3 (* x 2))) |
| 0.0ms | x | @ | -inf | (* x 2) |
| 0.0ms | x | @ | -inf | (* (* x x) (- 3 (* x 2))) |
| 1× | egg-herbie |
| 20 650× | lower-fma.f64 |
| 20 650× | lower-fma.f32 |
| 3 112× | lower-*.f64 |
| 3 112× | lower-*.f32 |
| 2 720× | 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 #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 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(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 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
| 9 334× | lower-fma.f64 |
| 9 334× | lower-fma.f32 |
| 4 144× | lower-*.f32 |
| 4 138× | lower-*.f64 |
| 3 844× | 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 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal -2 binary64))) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
Compiled 10 134 to 956 computations (90.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 13 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 13 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| 86.9% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) | |
| ▶ | 99.8% | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| 99.7% | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| ▶ | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) | |
| 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) | |
| ▶ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| 73.3% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) | |
| 56.2% | (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))) | |
| ▶ | 61.4% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
| 76.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| 59.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| ▶ | 59.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
Compiled 434 to 238 computations (45.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) | |
| cost-diff | 128 | (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) | |
| cost-diff | 256 | (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 320 | (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 640 | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| 8 900× | lower-fma.f32 |
| 8 892× | lower-fma.f64 |
| 4 352× | lower-*.f32 |
| 4 322× | lower-*.f64 |
| 2 472× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 238 |
| 0 | 62 | 244 |
| 1 | 129 | 227 |
| 2 | 282 | 217 |
| 3 | 893 | 209 |
| 4 | 3187 | 209 |
| 5 | 5222 | 209 |
| 6 | 8000 | 209 |
| 0 | 8334 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
x |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 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))) |
x |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(*.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 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(*.f64 x x) |
x |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
#s(literal 81 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
(*.f64 (*.f64 x x) #s(literal 16 binary64)) |
#s(literal 16 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
x |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
x |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(*.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 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64))) |
(*.f64 x x) |
x |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64))) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -16 binary64))) #s(literal 81 binary64)) |
#s(literal 81 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 16 binary64)) |
#s(literal 16 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64)) |
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) | |
| accuracy | 0.31919079985929444 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) | |
| accuracy | 24.00367004495628 | (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) | |
| accuracy | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.078125 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.125 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| accuracy | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| accuracy | 0.078125 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.140625 | (*.f64 x (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 25.664449228212284 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) | |
| accuracy | 0.09765625 | (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
| 61.0ms | 242× | 0 | valid |
| 3.0ms | 8× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 252 to 39 computations (84.5% saved)
ival-mult: 33.0ms (67.5% of total)ival-div: 7.0ms (14.3% of total)ival-add: 4.0ms (8.2% of total)ival-sub: 2.0ms (4.1% of total)adjust: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))> |
#<alt (*.f64 #s(literal 3 binary64) x)> |
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))> |
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))> |
#<alt #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))> |
#<alt (*.f64 x (*.f64 x #s(literal 3 binary64)))> |
#<alt (*.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)> |
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))> |
#<alt (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))> |
#<alt (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))> |
#<alt (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))> |
#<alt (*.f64 x #s(literal -2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))> |
| Outputs |
|---|
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt 27> |
#<alt (+ 27 (* 18 x))> |
#<alt (+ 27 (* x (+ 18 (* 12 x))))> |
#<alt (+ 27 (* x (+ 18 (* x (+ 12 (* 8 x))))))> |
#<alt (* 8 (pow x 3))> |
#<alt (* (pow x 3) (+ 8 (* 12 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 18 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2))))))> |
#<alt (* 8 (pow x 3))> |
#<alt (* (pow x 3) (+ 8 (* 12 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)))> |
#<alt 81> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (* -16 (pow x 4))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* -16 (pow x 4))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt 1/27> |
#<alt (+ 1/27 (* -2/81 x))> |
#<alt (+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))> |
#<alt (+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ x (/ 1 (* x (+ (* x -2) 3)))) |
| 1.0ms | x | @ | -inf | (* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3)))) |
| 1.0ms | x | @ | 0 | (* (* x (+ (* x -2) 3)) x) |
| 1.0ms | x | @ | inf | (* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3)))) |
| 1.0ms | x | @ | 0 | (* (- 81 (* (* x x) (* (* x x) 16))) (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3)))) |
| 1× | egg-herbie |
| 9 956× | lower-fma.f64 |
| 9 956× | lower-fma.f32 |
| 4 210× | lower-*.f64 |
| 4 210× | lower-*.f32 |
| 3 466× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1477 |
| 1 | 506 | 1477 |
| 2 | 1384 | 1467 |
| 3 | 3826 | 1464 |
| 0 | 8554 | 1359 |
| 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) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 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)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -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))))) |
(* 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))))) |
(* 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))))) |
(/ 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 |
(+ 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))))) |
27 |
(+ 27 (* 18 x)) |
(+ 27 (* x (+ 18 (* 12 x)))) |
(+ 27 (* x (+ 18 (* x (+ 12 (* 8 x)))))) |
(* 8 (pow x 3)) |
(* (pow x 3) (+ 8 (* 12 (/ 1 x)))) |
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))))) |
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2)))))) |
(* 8 (pow x 3)) |
(* (pow x 3) (+ 8 (* 12 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8))) |
81 |
(+ 81 (* -16 (pow x 4))) |
(+ 81 (* -16 (pow x 4))) |
(+ 81 (* -16 (pow x 4))) |
(* -16 (pow x 4)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* -16 (pow x 4)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* 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 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
1/27 |
(+ 1/27 (* -2/81 x)) |
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81))) |
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81))) |
(/ 1/8 (pow x 3)) |
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3)) |
(/ 1/8 (pow x 3)) |
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) #s(literal 3/4 binary64)) x)) (*.f64 x x)) |
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)) |
27 |
#s(literal 27 binary64) |
(+ 27 (* 18 x)) |
(fma.f64 x #s(literal 18 binary64) #s(literal 27 binary64)) |
(+ 27 (* x (+ 18 (* 12 x)))) |
(fma.f64 x (fma.f64 x #s(literal 12 binary64) #s(literal 18 binary64)) #s(literal 27 binary64)) |
(+ 27 (* x (+ 18 (* x (+ 12 (* 8 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal 18 binary64)) #s(literal 27 binary64)) |
(* 8 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))) |
(* (pow x 3) (+ 8 (* 12 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)))) |
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (/ 18 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) #s(literal 12 binary64))) |
(* (pow x 3) (+ 8 (+ (* 12 (/ 1 x)) (+ (* 27 (/ 1 (pow x 3))) (/ 18 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal 8 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) #s(literal 12 binary64))) |
(* 8 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))) |
(* (pow x 3) (+ 8 (* 12 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal 12 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 12 binary64)) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) x) (+.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 12 binary64))) x))) |
81 |
#s(literal 81 binary64) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* -16 (pow x 4)) |
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* -16 (pow x 4)) |
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* -2/81 x)) |
(fma.f64 x #s(literal -2/81 binary64) #s(literal 1/27 binary64)) |
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64)) |
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81))) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -32/6561 binary64) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64)) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x) (/.f64 #s(literal -243/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 81/128 binary64) (/.f64 #s(literal 243/256 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(* 16 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
| 9 370× | lower-fma.f32 |
| 9 362× | lower-fma.f64 |
| 4 314× | lower-*.f32 |
| 4 284× | lower-*.f64 |
| 3 776× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 187 |
| 0 | 62 | 155 |
| 1 | 221 | 130 |
| 2 | 1610 | 128 |
| 0 | 8459 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 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)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(*.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.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)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) x) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal -81 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 16 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) x) (*.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 4 binary64))) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
Compiled 66 645 to 3 919 computations (94.1% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 902 | 9 | 1 911 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 907 | 17 | 1 924 |
| Status | Accuracy | Program |
|---|---|---|
| 86.9% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) | |
| ✓ | 99.8% | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| 99.7% | (/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 59.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
| 69.9% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) | |
| ▶ | 59.4% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
| 75.9% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) | |
| 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| 76.0% | (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) | |
| 73.3% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) | |
| 61.1% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) | |
| ▶ | 15.5% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
| ▶ | 59.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 59.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
Compiled 461 to 272 computations (41% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) | |
| cost-diff | 128 | (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x -2) 3) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 22 454× | lower-fma.f32 |
| 22 452× | lower-fma.f64 |
| 3 766× | lower-*.f32 |
| 3 748× | lower-*.f64 |
| 1 876× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 252 |
| 0 | 60 | 242 |
| 1 | 126 | 230 |
| 2 | 273 | 222 |
| 3 | 709 | 222 |
| 4 | 1888 | 222 |
| 5 | 3131 | 222 |
| 6 | 5532 | 222 |
| 0 | 8121 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
x |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))) |
#s(approx (+ (* x -2) 3) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x x) |
x |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
#s(literal 81 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
(*.f64 (*.f64 x x) #s(literal 16 binary64)) |
#s(literal 16 binary64) |
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/8 binary64) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 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)) |
x |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(approx (+ (* x -2) 3) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
x |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
(*.f64 x (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))) |
#s(approx (+ (* x -2) 3) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x x) |
x |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
#s(literal 81 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 16 binary64))))) |
(*.f64 (*.f64 x x) #s(literal 16 binary64)) |
(*.f64 x (*.f64 x #s(literal 16 binary64))) |
#s(literal 16 binary64) |
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/8 binary64) |
(*.f64 x (*.f64 x x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) | |
| accuracy | 0.36606579985929444 | (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 24.00367004495628 | (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) | |
| accuracy | 29.20138610360803 | #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) | |
| accuracy | 0.078125 | (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))) | |
| accuracy | 0.125 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) | |
| accuracy | 34.02244953861889 | #s(approx (+ (* x -2) 3) #s(literal 3 binary64)) | |
| accuracy | 0.125 | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 33.231600810857856 | #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 34.02244953861889 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0 | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 50.0ms | 242× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
| 3.0ms | 8× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 218 to 37 computations (83% saved)
ival-mult: 22.0ms (53.2% of total)ival-div: 8.0ms (19.3% of total)ival-add: 4.0ms (9.7% of total)const: 3.0ms (7.3% of total)ival-sub: 2.0ms (4.8% of total)adjust: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))> |
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))> |
#<alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64))> |
#<alt (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)))> |
#<alt #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))> |
#<alt (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))> |
#<alt #s(approx (+ (* x -2) 3) #s(literal 3 binary64))> |
#<alt (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))> |
#<alt (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))> |
#<alt (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))> |
#<alt (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))> |
| Outputs |
|---|
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt 81> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (+ 81 (* -16 (pow x 4)))> |
#<alt (* -16 (pow x 4))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* -16 (pow x 4))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt 1/27> |
#<alt (+ 1/27 (* -2/81 x))> |
#<alt (+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81)))> |
#<alt (+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81)))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3)))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
#<alt (* 16 (pow x 4))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ 1/8 (* x (* x x))) |
| 0.0ms | x | @ | 0 | (/ 1/3 x) |
| 0.0ms | x | @ | -inf | (/ 1/3 x) |
| 0.0ms | x | @ | inf | (/ 1/3 x) |
| 0.0ms | x | @ | inf | (/ 1/8 (* x (* x x))) |
| 1× | egg-herbie |
| 7 896× | lower-fma.f64 |
| 7 896× | lower-fma.f32 |
| 4 254× | lower-*.f64 |
| 4 254× | lower-*.f32 |
| 1 686× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1431 |
| 1 | 373 | 1431 |
| 2 | 994 | 1417 |
| 3 | 2623 | 1412 |
| 4 | 7021 | 1412 |
| 0 | 8256 | 1293 |
| 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 |
(+ 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))))) |
(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))))) |
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))))) |
(/ 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)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 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))))) |
(/ 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))))) |
81 |
(+ 81 (* -16 (pow x 4))) |
(+ 81 (* -16 (pow x 4))) |
(+ 81 (* -16 (pow x 4))) |
(* -16 (pow x 4)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* -16 (pow x 4)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(* 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 |
(+ 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))))) |
1/27 |
(+ 1/27 (* -2/81 x)) |
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81))) |
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81))) |
(/ 1/8 (pow x 3)) |
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3)) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3)) |
(/ 1/8 (pow x 3)) |
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(/ 1/8 (pow x 3)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
(* 16 (pow x 4)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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)) |
(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 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal 3/4 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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)) |
81 |
#s(literal 81 binary64) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(+ 81 (* -16 (pow x 4))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* -16 (pow x 4)) |
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* -16 (pow x 4)) |
(*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* (pow x 4) (- (* 81 (/ 1 (pow x 4))) 16)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -16 binary64)) #s(literal 81 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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)) |
1/27 |
#s(literal 1/27 binary64) |
(+ 1/27 (* -2/81 x)) |
(fma.f64 x #s(literal -2/81 binary64) #s(literal 1/27 binary64)) |
(+ 1/27 (* x (- (* 16/2187 (pow x 3)) 2/81))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64)) |
(+ 1/27 (* x (- (* (pow x 3) (+ 16/2187 (* -32/6561 x))) 2/81))) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal -32/6561 binary64) #s(literal 16/2187 binary64)) #s(literal -2/81 binary64)) #s(literal 1/27 binary64)) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ (- 1/8 (* 3/16 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (* 3/16 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 1/8 (/ 81/128 (pow x 4))) (+ (* 3/16 (/ 1 x)) (* 243/256 (/ 1 (pow x 5))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -243/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* 81/128 (/ 1 (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/128 binary64) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 243/256 (/ 1 x)) 81/128) (pow x 3))) 3/16) x)) 1/8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 81/128 binary64) (/.f64 #s(literal -243/256 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal -3/16 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/8 (pow x 3)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
(* 16 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 16 binary64))) |
| 6 688× | lower-fma.f32 |
| 6 686× | lower-fma.f64 |
| 4 844× | lower-*.f32 |
| 4 826× | lower-*.f64 |
| 4 378× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 222 |
| 0 | 60 | 214 |
| 1 | 231 | 194 |
| 2 | 1532 | 194 |
| 0 | 8534 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64)))) |
(*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))) |
#s(approx (+ (* x -2) 3) #s(literal 3 binary64)) |
(-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (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)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) x)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x)) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
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(*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 16 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) (*.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 4 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) x) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 4 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
Compiled 19 412 to 1 948 computations (90% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 887 | 3 | 890 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 890 | 17 | 907 |
| Status | Accuracy | Program |
|---|---|---|
| 86.9% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| 69.9% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) | |
| 99.7% | (/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 59.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
| ▶ | 69.9% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
| ✓ | 59.4% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
| ▶ | 75.9% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
| ▶ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| ▶ | 76.0% | (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
| 73.3% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) | |
| 16.0% | (*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 59.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 59.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
Compiled 417 to 238 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) | |
| cost-diff | 384 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
| 7 328× | lower-fma.f32 |
| 7 318× | lower-fma.f64 |
| 2 692× | lower-*.f32 |
| 2 668× | lower-*.f64 |
| 1 856× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 253 |
| 0 | 65 | 233 |
| 1 | 122 | 229 |
| 2 | 286 | 229 |
| 3 | 806 | 225 |
| 4 | 2300 | 225 |
| 5 | 2977 | 225 |
| 6 | 3885 | 225 |
| 7 | 4695 | 225 |
| 8 | 4782 | 225 |
| 9 | 4788 | 225 |
| 10 | 4788 | 225 |
| 0 | 8215 | 221 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) |
x |
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 x (*.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 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal -8 binary64) |
#s(literal 27 binary64) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 x x) #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) |
x |
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
x |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #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 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal -8 binary64) |
#s(literal 27 binary64) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 9 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.12890625 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) | |
| accuracy | 0.34408242887330953 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) | |
| accuracy | 23.887042531662786 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) | |
| accuracy | 0.08203125 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.125 | (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) | |
| accuracy | 0.2798139466158484 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) | |
| accuracy | 0.4051282917144621 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.12890625 | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 0.14453125 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 28.718560393207305 | #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.08203125 | (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.125 | (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) | |
| accuracy | 28.703329995498176 | #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) x) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.125 | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
| 64.0ms | 241× | 0 | valid |
| 12.0ms | 1× | 3 | valid |
| 4.0ms | 6× | 2 | valid |
| 3.0ms | 8× | 1 | valid |
Compiled 255 to 37 computations (85.5% saved)
ival-mult: 23.0ms (35.2% of total)ival-div: 20.0ms (30.6% of total)adjust: 13.0ms (19.9% of total)ival-add: 9.0ms (13.8% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x))> |
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x)> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(literal 3 binary64) x)> |
#<alt (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)> |
#<alt (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))> |
#<alt #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))> |
#<alt (*.f64 x #s(literal -2 binary64))> |
#<alt (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))> |
#<alt #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))> |
#<alt (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))> |
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))> |
#<alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))> |
#<alt (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (+ 1/3 (* 2/9 x)) (pow x 2))> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))> |
#<alt (/ -1/2 (pow x 3))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))> |
#<alt (/ -1/2 (pow x 3))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt 9> |
#<alt (+ 9 (* 6 x))> |
#<alt (+ 9 (* x (+ 6 (* 4 x))))> |
#<alt (+ 9 (* x (+ 6 (* 4 x))))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))> |
#<alt (/ 1/27 x)> |
#<alt (/ (+ 1/27 (* 8/729 (pow x 3))) x)> |
#<alt (/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x)> |
#<alt (/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x)> |
#<alt (/ -1/8 (pow x 4))> |
#<alt (* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4))> |
#<alt (/ -1/8 (pow x 4))> |
#<alt (* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9)) |
| 1.0ms | x | @ | 0 | (/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9))) |
| 1.0ms | x | @ | inf | (/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9))) |
| 1.0ms | x | @ | -inf | (/ x (* (/ 1 (* (+ (* (* x (* x x)) -8) 27) x)) (+ (* (* x 2) (+ (* x 2) 3)) 9))) |
| 0.0ms | x | @ | 0 | (/ -1/2 (* x x)) |
| 1× | egg-herbie |
| 6 776× | lower-fma.f64 |
| 6 776× | lower-fma.f32 |
| 3 856× | lower-*.f64 |
| 3 856× | lower-*.f32 |
| 2 052× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1724 |
| 1 | 422 | 1712 |
| 2 | 1155 | 1688 |
| 3 | 2921 | 1684 |
| 4 | 6288 | 1684 |
| 0 | 8383 | 1555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (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 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))))) |
(* 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))))) |
(* -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))))) |
(/ 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))))) |
(/ 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))) |
(* 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 (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)) |
9 |
(+ 9 (* 6 x)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
(+ 9 (* x (+ 6 (* 4 x)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(/ 1/27 x) |
(/ (+ 1/27 (* 8/729 (pow x 3))) x) |
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x) |
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x) |
(/ -1/8 (pow x 4)) |
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4)) |
(/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4)) |
(/ -1/8 (pow x 4)) |
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4))) |
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4)) |
(/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4)) |
(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) |
| Outputs |
|---|
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(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 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
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)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #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 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (*.f64 x x)) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 6 x)) |
(fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) |
(/ 1/27 x) |
(/.f64 #s(literal 1/27 binary64) x) |
(/ (+ 1/27 (* 8/729 (pow x 3))) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 8/729 binary64))) #s(literal 1/27 binary64)) x) |
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* 64/19683 (pow x 3))))) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 64/19683 binary64) #s(literal 8/729 binary64)) #s(literal 1/27 binary64)) x) |
(/ (+ 1/27 (* (pow x 3) (+ 8/729 (* (pow x 3) (+ 64/19683 (* 512/531441 (pow x 3))))))) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 512/531441 binary64)) #s(literal 64/19683 binary64)) #s(literal 8/729 binary64)) #s(literal 1/27 binary64)) x) |
(/ -1/8 (pow x 4)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -27/64 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 729/512 (* 19683/4096 (/ 1 (pow x 3)))) (pow x 6))) (+ 1/8 (* 27/64 (/ 1 (pow x 3))))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -729/512 binary64) (/.f64 #s(literal -19683/4096 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 27/64 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/8 (pow x 4)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 1/8 (* 27/64 (/ 1 (pow x 3)))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -27/64 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 27/64 (* 729/512 (/ 1 (pow x 3)))) (pow x 3))) 1/8) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 27/64 (+ (* 729/512 (/ 1 (pow x 3))) (/ 19683/4096 (pow x 6)))) (pow x 3))) 1/8) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -27/64 binary64) (/.f64 #s(literal -729/512 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 19683/4096 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 5 638× | lower-fma.f32 |
| 5 628× | lower-fma.f64 |
| 3 964× | lower-*.f32 |
| 3 940× | lower-*.f64 |
| 3 560× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 200 |
| 0 | 65 | 158 |
| 1 | 229 | 156 |
| 2 | 1526 | 156 |
| 0 | 8625 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(*.f64 x x) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) |
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal -3 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) |
(+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (neg.f64 (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (neg.f64 (*.f64 x #s(literal -3 binary64)))) |
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(pow.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal 27 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 64 binary64) #s(literal -729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))) #s(literal -27 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 40 049 to 3 030 computations (92.4% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 507 | 4 | 1 511 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 511 | 17 | 1 528 |
| Status | Accuracy | Program |
|---|---|---|
| 86.9% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) | |
| ✓ | 99.8% | (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| 69.9% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) | |
| 99.7% | (/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 59.4% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
| 25.1% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) #s(approx (+ (* (* x 2) (+ (* x 2) 3)) 9) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) | |
| ✓ | 59.4% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 75.9% | (/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
| 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) | |
| 76.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| ✓ | 76.0% | (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
| 16.0% | (*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) | |
| ✓ | 59.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 59.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
Compiled 705 to 269 computations (61.8% saved)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* x -2) 3) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 #s(approx (- 81 (* (* x x) (* (* x x) 16))) (*.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) #s(approx (+ (* (* x 2) (+ (* x 2) 3)) 9) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(approx (/ 1 (* (+ (* x (* x 4)) 9) (+ (* x 2) 3))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
2 calls:
| 9.0ms | x |
| 7.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)) x) |
(/.f64 x #s(approx (/ 1 (* x (+ (* x -2) 3))) (/.f64 #s(literal 1/3 binary64) x))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (*.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 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| Outputs |
|---|
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
2 calls:
| 4.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | 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 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x |
| 97.9% | 3 | (*.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 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | x |
| 59.5% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
2 calls:
| 3.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 59.5% | 1 | x |
Compiled 12 to 8 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.148526997147443e-7 | 1.6975945295148306e+27 |
| 0.0ms | -446273736833986.75 | 0.0 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 115 |
| 1 | 52 | 115 |
| 2 | 64 | 115 |
| 3 | 70 | 115 |
| 4 | 74 | 115 |
| 5 | 75 | 115 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -400000000000000 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 4722366482869645/9444732965739290427392 binary64)) (*.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 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 #s(literal 3 binary64) x))) |
| 20 650× | lower-fma.f64 |
| 20 650× | lower-fma.f32 |
| 9 334× | lower-fma.f64 |
| 9 334× | lower-fma.f32 |
| 4 144× | 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 184 to 77 computations (58.2% saved)
Compiled 214 to 80 computations (62.6% saved)
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