Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2
Time bar (total: 9.4s)
| 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)
| 798.0ms | 8 256× | 0 | valid |
ival-mult: 364.0ms (86.2% of total)ival-sub: 43.0ms (10.2% of total)exact: 7.0ms (1.7% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% 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))) |
| 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 |
| 26.0ms | 512× | 0 | valid |
Compiled 70 to 32 computations (54.3% saved)
ival-mult: 11.0ms (76.7% of total)ival-sub: 2.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)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 | 100.0% | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 12.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 5.0ms (80% of total)ival-sub: 1.0ms (16% 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 2) |
| 1× | batch-egg-rewrite |
| 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)))) |
(-.f64 (/.f64 (/.f64 #s(literal 81 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 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 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 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(-.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 #s(literal 729 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 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)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 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))))) |
(-.f64 (/.f64 #s(literal 19683 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 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)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 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))))) |
(-.f64 (/.f64 #s(literal 81 binary64) (*.f64 (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 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))) |
(/.f64 (*.f64 x (*.f64 x (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 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x 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) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x 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 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x 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 (neg.f64 (*.f64 x (*.f64 x (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 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.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 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(pow.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 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (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))) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x 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) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x 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 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.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))) |
| 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)) |
Compiled 10 086 to 956 computations (90.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 10 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 326 | 10 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) | |
| ▶ | 85.0% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.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)))) | |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.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) |
| 74.5% | (*.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))))))) | |
| ▶ | 75.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| 62.3% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| ▶ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 234 to 140 computations (40.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (*.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 x x) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 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 | (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) |
| 84× | lower-*.f32 |
| 78× | lower-/.f32 |
| 74× | lower-/.f64 |
| 64× | lower-*.f64 |
| 36× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 111 |
| 0 | 33 | 105 |
| 1 | 59 | 105 |
| 2 | 74 | 101 |
| 3 | 105 | 101 |
| 4 | 126 | 101 |
| 5 | 140 | 101 |
| 6 | 163 | 101 |
| 7 | 172 | 101 |
| 8 | 177 | 101 |
| 9 | 179 | 101 |
| 0 | 179 | 101 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 x #s(literal 3 binary64))) |
x |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(*.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) |
(/.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) |
| Outputs |
|---|
(*.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 x #s(literal 3 binary64))) |
x |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x x) |
x |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.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 x x) |
x |
#s(literal 3 binary64) |
(*.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) |
(/.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) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 85.0% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| 178.0ms | 16× | 2 | valid |
| 58.0ms | 239× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 121 to 21 computations (82.6% saved)
ival-div: 176.0ms (88.8% of total)ival-mult: 18.0ms (9.1% of total)ival-add: 3.0ms (1.5% of total)adjust: 1.0ms (0.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<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 x #s(literal 3 binary64)))> |
#<alt (*.f64 x #s(literal 3 binary64))> |
#<alt (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(literal -2 binary64) x)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))> |
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))> |
#<alt (*.f64 x (*.f64 x #s(literal -2 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 x #s(literal -2 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 (* 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 (* 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 (* -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 (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)> |
#<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 (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 (/ 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 (* -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)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x 3) |
| 0.0ms | x | @ | 0 | (* (* x x) (* -2 x)) |
| 0.0ms | x | @ | inf | (* x (* x 3)) |
| 0.0ms | x | @ | 0 | (* (* x (+ (* x -2) 3)) x) |
| 0.0ms | x | @ | inf | (+ (* (* x x) 3) (* x (* x (* x -2)))) |
| 1× | batch-egg-rewrite |
| 8 096× | lower-fma.f32 |
| 8 092× | lower-fma.f64 |
| 4 948× | lower-*.f32 |
| 4 928× | lower-*.f64 |
| 2 424× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 84 |
| 0 | 33 | 78 |
| 1 | 102 | 78 |
| 2 | 544 | 74 |
| 3 | 5795 | 74 |
| 0 | 8051 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x x) |
(*.f64 #s(literal -2 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x (*.f64 x #s(literal -2 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 x #s(literal -2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal -3 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.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 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 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 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x) (*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (/.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) x) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) x) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) x) (/.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.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) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 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) x) (/.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 #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.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 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.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 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 8 424× | lower-fma.f64 |
| 8 424× | lower-fma.f32 |
| 2 482× | lower-*.f64 |
| 2 482× | lower-*.f32 |
| 1 764× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 934 |
| 1 | 195 | 934 |
| 2 | 480 | 928 |
| 3 | 1165 | 928 |
| 4 | 2486 | 924 |
| 5 | 5064 | 924 |
| 0 | 8123 | 873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* 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) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(pow x 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) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -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))))) |
(/ 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)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #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 x (*.f64 x #s(literal -2 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)))) |
(* (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 x (*.f64 x #s(literal -2 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 (* (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 x (*.f64 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 x (*.f64 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)) |
(* 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) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 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)) |
(* 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 x (*.f64 x #s(literal -2 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)))) |
(* (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 x (*.f64 x #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 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 x (*.f64 x #s(literal -2 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)))) |
(* (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 x (*.f64 x #s(literal -2 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 (* (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)) |
(* -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)) |
Compiled 36 525 to 2 125 computations (94.2% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 483 | 6 | 1 489 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 486 | 13 | 1 499 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | 85.0% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| ▶ | 75.4% | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 99.3% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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))))) |
| 62.2% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) | |
| 75.4% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| 22.8% | (-.f64 (/.f64 (*.f64 x (*.f64 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) | |
| 74.4% | (*.f64 (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 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) (*.f64 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) |
| ✓ | 75.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| ▶ | 62.3% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 312 to 187 computations (40.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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))))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #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)) |
| 6 914× | lower-fma.f32 |
| 6 906× | lower-fma.f64 |
| 5 052× | lower-*.f32 |
| 5 034× | lower-*.f64 |
| 4 596× | distribute-lft-in |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 158 |
| 0 | 47 | 152 |
| 1 | 88 | 144 |
| 2 | 178 | 140 |
| 3 | 437 | 140 |
| 4 | 1004 | 138 |
| 5 | 1519 | 138 |
| 6 | 1779 | 138 |
| 7 | 2707 | 138 |
| 8 | 5410 | 138 |
| 9 | 5418 | 138 |
| 10 | 5418 | 138 |
| 11 | 5418 | 138 |
| 12 | 6361 | 138 |
| 0 | 9500 | 138 |
| 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(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
#s(literal 3 binary64) |
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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))))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (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)) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(/.f64 #s(literal 1 binary64) (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) |
| 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(literal 3 binary64)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -2 binary64) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
x |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
x |
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (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)) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(/.f64 #s(literal 1 binary64) (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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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))))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
| ✓ | accuracy | 93.4% | (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 85.1% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 52.0ms | 247× | 0 | valid |
| 2.0ms | 4× | 3 | valid |
| 2.0ms | 5× | 1 | valid |
Compiled 172 to 30 computations (82.6% saved)
ival-mult: 16.0ms (48.9% of total)ival-div: 10.0ms (30.6% of total)ival-add: 5.0ms (15.3% of total)adjust: 1.0ms (3.1% of total)exact: 1.0ms (3.1% 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(literal 3 binary64))> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x x))> |
#<alt (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))> |
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))> |
#<alt (*.f64 x #s(literal -2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.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))))> |
#<alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 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 (* 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 (* (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 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)> |
#<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 (* -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 (* -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 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 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 (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 (/ -1/9 x)> |
#<alt (/ (- (* -4/81 (pow x 2)) 1/9) x)> |
#<alt (/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x)> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 4 (pow x 2)) 9))> |
#<alt (* x (- (* 4 (pow x 2)) 9))> |
#<alt (* x (- (* 4 (pow x 2)) 9))> |
#<alt (* 4 (pow x 3))> |
#<alt (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* 4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)))> |
#<alt (* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)))> |
#<alt (* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ x (/ (/ 1 (* x (+ (* x (* x 4)) -9))) (/ 1 (+ (* x -2) -3)))) |
| 0.0ms | x | @ | 0 | (/ x (/ (/ 1 (* x (+ (* x (* x 4)) -9))) (/ 1 (+ (* x -2) -3)))) |
| 0.0ms | x | @ | -inf | (/ x (/ (/ 1 (* x (+ (* x (* x 4)) -9))) (/ 1 (+ (* x -2) -3)))) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 1× | batch-egg-rewrite |
| 9 014× | lower-fma.f32 |
| 9 006× | lower-fma.f64 |
| 5 532× | lower-*.f32 |
| 5 514× | lower-*.f64 |
| 3 170× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 116 |
| 0 | 47 | 99 |
| 1 | 180 | 86 |
| 2 | 1204 | 86 |
| 0 | 8575 | 86 |
| 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(literal 3 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.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 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))) |
(+.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)))) |
(+.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 x (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) (*.f64 (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 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 (*.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 (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)))) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 x (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1 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 (*.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 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x (*.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x (*.f64 (/.f64 (*.f64 x #s(literal -9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
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(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64)) #s(literal 1 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) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64)) #s(literal -1 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) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) x) #s(literal -81 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
| 1× | egg-herbie |
| 6 298× | lower-fma.f64 |
| 6 298× | lower-fma.f32 |
| 4 348× | lower-*.f64 |
| 4 348× | lower-*.f32 |
| 1 560× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1116 |
| 1 | 350 | 1116 |
| 2 | 944 | 1107 |
| 3 | 2486 | 1102 |
| 4 | 6577 | 1098 |
| 0 | 8265 | 1040 |
| 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)) |
(* 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)) |
(* (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 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) |
(* 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)) |
(* -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)) |
(* -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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ -1/9 x) |
(/ (- (* -4/81 (pow x 2)) 1/9) x) |
(/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3))) |
(* -9 x) |
(* x (- (* 4 (pow x 2)) 9)) |
(* x (- (* 4 (pow x 2)) 9)) |
(* x (- (* 4 (pow x 2)) 9)) |
(* 4 (pow x 3)) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
| Outputs |
|---|
(* 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 (*.f64 x x) (*.f64 x #s(literal -2 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)))) |
(* (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 (*.f64 x x) (*.f64 x #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.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)) |
(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)) |
(* 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)) |
(* (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 (*.f64 x x) (*.f64 x #s(literal -2 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)))) |
(* (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 (*.f64 x x) (*.f64 x #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(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)) |
(* 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)) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 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)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 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 (+.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 (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 (*.f64 x x) (*.f64 x #s(literal -2 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)))) |
(* (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 (*.f64 x x) (*.f64 x #s(literal -2 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 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- (* -4/81 (pow x 2)) 1/9) x) |
(fma.f64 x #s(literal -4/81 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -16/729 binary64) #s(literal -4/81 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -64/6561 binary64) #s(literal -16/729 binary64)) #s(literal -4/81 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 729/256 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 81/64 binary64) (/.f64 #s(literal 729/256 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* x (- (* 4 (pow x 2)) 9)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* 4 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* 4 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
(* -1 (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) |
Compiled 31 362 to 2 364 computations (92.5% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 457 | 4 | 1 461 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 460 | 14 | 1 474 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
| ✓ | 85.0% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
| ✓ | 75.4% | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 99.7% | (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
| ▶ | 75.2% | (/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
| ▶ | 62.2% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
| ▶ | 75.4% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| 69.9% | (/.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (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)) |
| ▶ | 99.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
| ✓ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| ✓ | 75.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 62.3% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 264 to 175 computations (33.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 384 | (/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
| ✓ | cost-diff | 1216 | (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
| ✓ | cost-diff | 448 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 768 | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 768 | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x) |
| ✓ | cost-diff | 384 | (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))) |
| 3 042× | lower-fma.f32 |
| 3 038× | lower-fma.f64 |
| 2 450× | lower-*.f32 |
| 2 440× | lower-*.f64 |
| 1 328× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 229 |
| 0 | 52 | 222 |
| 1 | 102 | 208 |
| 2 | 288 | 208 |
| 3 | 983 | 205 |
| 4 | 2546 | 203 |
| 5 | 4282 | 195 |
| 6 | 6573 | 195 |
| 0 | 8107 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
x |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(*.f64 x 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))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
x |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
x |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(neg.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(*.f64 x x) |
#s(literal -4 binary64) |
#s(literal 9 binary64) |
(/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
x |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/4 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
| Outputs |
|---|
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
(/.f64 (*.f64 x (*.f64 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))) |
x |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))) |
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(*.f64 x 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))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
x |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
x |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(/.f64 (*.f64 x (*.f64 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 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) |
(/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
x |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
(neg.f64 x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(*.f64 x x) |
#s(literal -4 binary64) |
#s(literal 9 binary64) |
(/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x))) |
x |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/4 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
#s(literal -2 binary64) |
#s(literal -3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 93.7% | (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| ✓ | accuracy | 93.4% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))) |
| 59.0ms | 247× | 0 | valid |
| 2.0ms | 4× | 3 | valid |
| 2.0ms | 5× | 1 | valid |
Compiled 251 to 34 computations (86.5% saved)
ival-div: 24.0ms (54.1% of total)ival-mult: 11.0ms (24.8% of total)const: 4.0ms (9% of total)ival-add: 3.0ms (6.8% of total)exact: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))> |
#<alt (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))))> |
#<alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x)> |
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))> |
#<alt (/.f64 x (/.f64 #s(literal 1/3 binary64) x))> |
#<alt (/.f64 #s(literal 1/3 binary64) x)> |
#<alt (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))> |
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))> |
#<alt (/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))> |
#<alt (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))> |
| Outputs |
|---|
#<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 (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 (/ -1/9 x)> |
#<alt (/ (- (* -4/81 (pow x 2)) 1/9) x)> |
#<alt (/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x)> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt -1/9> |
#<alt (- (* -4/81 (pow x 2)) 1/9)> |
#<alt (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 2))> |
#<alt (/ 1/4 (pow x 2))> |
#<alt (/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (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 (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 (* -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 (/ -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 (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 (* 1/3 x)> |
#<alt (* x (+ 1/3 (* -2/9 x)))> |
#<alt (* x (+ 1/3 (* x (- (* 4/27 x) 2/9))))> |
#<alt (* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 3/4 (/ 1 x)))> |
#<alt (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x)))> |
#<alt (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 3/4 (/ 1 x)))> |
#<alt (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x)))> |
#<alt (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) 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> |
#<alt (- (* 2/9 x) 1/3)> |
#<alt (- (* x (+ 2/9 (* -4/27 x))) 1/3)> |
#<alt (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3)> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 3/4 (/ 1 x)) 1/2) x)> |
#<alt (/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) x)> |
#<alt (/ (- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) x))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) x))> |
#<alt -3> |
#<alt (- (* -2 x) 3)> |
#<alt (- (* -2 x) 3)> |
#<alt (- (* -2 x) 3)> |
#<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 (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (/ -3/4 (pow x 3))> |
#<alt (/ (- (* -1/2 x) 3/4) (pow x 3))> |
#<alt (/ (- (* -1/2 x) 3/4) (pow x 3))> |
#<alt (/ (- (* -1/2 x) 3/4) (pow x 3))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (* -1 (/ (+ 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (* -4/3 (pow x 4))> |
#<alt (* (pow x 4) (- (* 8/9 x) 4/3))> |
#<alt (* (pow x 4) (- (* x (+ 8/9 (* -16/27 x))) 4/3))> |
#<alt (* (pow x 4) (- (* x (+ 8/9 (* x (- (* 32/81 x) 16/27)))) 4/3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9/2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/4 (/ 1 (pow x 3)))) (+ 2 (/ 9/2 (pow x 2)))))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9/2 (* 27/4 (/ 1 x))) x))) x)))))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (pow x 3))> |
#<alt (/ 1/4 (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)> |
#<alt (pow x 3)> |
#<alt (* 9 x)> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* -4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (/ 1/4 (* x (* x x))) (/ 1 (+ (* x -2) -3))) |
| 0.0ms | x | @ | 0 | (/ x (/ (/ (/ -1 (+ (* (* x x) -4) 9)) x) (/ 1 (+ (* x -2) -3)))) |
| 0.0ms | x | @ | 0 | (/ (/ 1/4 (* x (* x x))) (/ 1 (+ (* x -2) -3))) |
| 0.0ms | x | @ | -inf | (/ x (/ (/ (/ -1 (+ (* (* x x) -4) 9)) x) (/ 1 (+ (* x -2) -3)))) |
| 0.0ms | x | @ | 0 | (/ -1/2 (* x x)) |
| 1× | batch-egg-rewrite |
| 6 494× | lower-fma.f32 |
| 6 490× | lower-fma.f64 |
| 5 370× | lower-*.f32 |
| 5 360× | lower-*.f64 |
| 3 152× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 164 |
| 0 | 52 | 157 |
| 1 | 208 | 140 |
| 2 | 1391 | 119 |
| 0 | 8619 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x 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))) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(exp.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 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(-.f64 (/.f64 #s(literal 0 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 0 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal -3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 x (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.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) x) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.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) x) #s(literal -3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.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) x) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal -3 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal -3 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 3 binary64))) |
(fma.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) x) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.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) x) #s(literal -3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.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) x) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) #s(literal -3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) x) #s(literal -2 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) #s(literal -2 binary64)) x (/.f64 #s(literal -3 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(neg.f64 (/.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 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
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(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64) #s(literal 729 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) |
| 1× | egg-herbie |
| 8 742× | lower-fma.f64 |
| 8 742× | lower-fma.f32 |
| 4 840× | lower-*.f64 |
| 4 840× | lower-*.f32 |
| 2 030× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 1609 |
| 1 | 722 | 1577 |
| 2 | 1914 | 1567 |
| 3 | 4959 | 1556 |
| 0 | 8300 | 1476 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ -1/9 x) |
(/ (- (* -4/81 (pow x 2)) 1/9) x) |
(/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3))) |
-1/9 |
(- (* -4/81 (pow x 2)) 1/9) |
(- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 2)) |
(/ 1/4 (pow x 2)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (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 (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) |
(* -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)) |
(/ -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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 x) |
(* x (+ 1/3 (* -2/9 x))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
1/2 |
(- 1/2 (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
1/2 |
(- 1/2 (* 3/4 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(* 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 |
(- (* 2/9 x) 1/3) |
(- (* x (+ 2/9 (* -4/27 x))) 1/3) |
(- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) x)) |
-3 |
(- (* -2 x) 3) |
(- (* -2 x) 3) |
(- (* -2 x) 3) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(/ -3/4 (pow x 3)) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(* -1 (/ (+ 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 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(* -4/3 (pow x 4)) |
(* (pow x 4) (- (* 8/9 x) 4/3)) |
(* (pow x 4) (- (* x (+ 8/9 (* -16/27 x))) 4/3)) |
(* (pow x 4) (- (* x (+ 8/9 (* x (- (* 32/81 x) 16/27)))) 4/3)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 2 (/ 9/2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/4 (/ 1 (pow x 3)))) (+ 2 (/ 9/2 (pow x 2))))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9/2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9/2 (* 27/4 (/ 1 x))) x))) x))))) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (pow x 3)) |
(/ 1/4 (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) |
(pow x 3) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 3)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(/ 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 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) x) (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) (*.f64 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 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 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #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))) |
(* (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))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- (* -4/81 (pow x 2)) 1/9) x) |
(fma.f64 x #s(literal -4/81 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) x) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -16/729 binary64) #s(literal -4/81 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) x) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -64/6561 binary64)) #s(literal -16/729 binary64)) #s(literal -4/81 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) (pow x 3))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 9/16 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 81/64 binary64) (/.f64 #s(literal 729/256 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* -4/81 (pow x 2)) 1/9) |
(fma.f64 x (*.f64 x #s(literal -4/81 binary64)) #s(literal -1/9 binary64)) |
(- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -16/729 binary64) #s(literal -4/81 binary64))) #s(literal -1/9 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -64/6561 binary64)) #s(literal -16/729 binary64)) #s(literal -4/81 binary64))) #s(literal -1/9 binary64)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(/ 1/4 (pow x 2)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/16 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(/ 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) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 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)) |
(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) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* -2/9 x))) |
(*.f64 x (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))) |
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9)))) |
(*.f64 x (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 (- (* x (+ 4/27 (* -8/81 x))) 2/9)))) |
(*.f64 x (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))) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 3/4 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) |
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (/.f64 #s(literal -27/16 binary64) (*.f64 x (*.f64 x x)))) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 3/4 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) |
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) |
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #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))) |
(* (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 |
#s(literal -1/3 binary64) |
(- (* 2/9 x) 1/3) |
(fma.f64 x #s(literal 2/9 binary64) #s(literal -1/3 binary64)) |
(- (* x (+ 2/9 (* -4/27 x))) 1/3) |
(fma.f64 x (fma.f64 x #s(literal -4/27 binary64) #s(literal 2/9 binary64)) #s(literal -1/3 binary64)) |
(- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3) |
(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)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2)))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x) |
-3 |
#s(literal -3 binary64) |
(- (* -2 x) 3) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
(- (* -2 x) 3) |
(fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) |
(- (* -2 x) 3) |
(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)) |
(* -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)) |
(/ -3/4 (pow x 3)) |
(/.f64 #s(literal -3/4 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1/2 x) 3/4) (pow x 3)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 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 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x (*.f64 x x))) |
(* -4/3 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4/3 binary64)) |
(* (pow x 4) (- (* 8/9 x) 4/3)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x #s(literal 8/9 binary64) #s(literal -4/3 binary64))) |
(* (pow x 4) (- (* x (+ 8/9 (* -16/27 x))) 4/3)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal 8/9 binary64)) #s(literal -4/3 binary64))) |
(* (pow x 4) (- (* x (+ 8/9 (* x (- (* 32/81 x) 16/27)))) 4/3)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 32/81 binary64) #s(literal -16/27 binary64)) #s(literal 8/9 binary64)) #s(literal -4/3 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 (/ 9/2 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -9/2 binary64) (*.f64 x x))) #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (* 27/4 (/ 1 (pow x 3)))) (+ 2 (/ 9/2 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -9/2 binary64) (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- 3 (* 9/2 (/ 1 x))) x))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -9/2 binary64) (*.f64 x x))) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 3 (* -1 (/ (- 9/2 (* 27/4 (/ 1 x))) x))) x))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -27/4 binary64) x)) x) #s(literal -3 binary64)))))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) |
(/ 1/4 (pow x 3)) |
(/.f64 #s(literal 1/4 binary64) (*.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)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(* -4 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* -4 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
Compiled 68 386 to 4 241 computations (93.8% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 755 | 5 | 2 760 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 6 | 8 |
| Total | 2 761 | 13 | 2 774 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
| 75.4% | (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) | |
| 62.2% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) | |
| 75.3% | (/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) | |
| ✓ | 75.4% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| 69.9% | (/.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) | |
| 75.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -2 binary64)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 49.8% | (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) | |
| ✓ | 99.8% | (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
| ✓ | 75.4% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| ✓ | 62.3% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 489 to 195 computations (60.1% saved)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #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) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (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 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) (*.f64 x x))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.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 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x 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))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 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 x (*.f64 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 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 |
|---|
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
2 calls:
| 7.0ms | x |
| 6.0ms | (*.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 |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
2 calls:
| 23.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | x |
| 62.3% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.346445488085321e-5 | 75448271.736202 |
| 0.0ms | -930479731448.935 | 0.0 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 22× | *-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 | 21 | 56 |
| 1 | 34 | 56 |
| 2 | 46 | 56 |
| 3 | 52 | 56 |
| 4 | 56 | 56 |
| 5 | 57 | 56 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -500000000000 binary64)) (*.f64 (*.f64 x x) (*.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 7378697629483821/73786976294838206464 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.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 -500000000000 binary64)) (*.f64 (*.f64 x x) (*.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 7378697629483821/73786976294838206464 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.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 -500000000000 binary64)) (*.f64 (*.f64 x x) (*.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 7378697629483821/73786976294838206464 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
| 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 85 to 39 computations (54.1% saved)
Compiled 154 to 70 computations (54.5% saved)
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