
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 399.0ms | 8 256× | 0 | valid |
ival-mult: 179.0ms (76.2% of total)ival-sub: 40.0ms (17% of total)exact: 8.0ms (3.4% of total)ival-true: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.3% of total)| 2× | egg-herbie |
| 616× | accelerator-lowering-fma.f32 |
| 616× | accelerator-lowering-fma.f64 |
| 392× | *-lowering-*.f32 |
| 392× | *-lowering-*.f64 |
| 310× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 28 |
| 1 | 45 | 27 |
| 2 | 151 | 27 |
| 3 | 590 | 27 |
| 4 | 1141 | 27 |
| 5 | 1280 | 27 |
| 6 | 1285 | 27 |
| 7 | 1285 | 27 |
| 0 | 7 | 9 |
| 1 | 16 | 9 |
| 2 | 44 | 9 |
| 3 | 108 | 9 |
| 4 | 195 | 9 |
| 5 | 253 | 9 |
| 6 | 333 | 9 |
| 7 | 487 | 9 |
| 8 | 610 | 9 |
| 9 | 692 | 9 |
| 10 | 848 | 9 |
| 11 | 850 | 9 |
| 0 | 850 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (* x x) (- 3 (* x 2))) |
| Outputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
| Inputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2))) |
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))) |
| Outputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(* x (* x (+ 3 (* x -2)))) |
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2))) |
(* (* x x) (+ 3 (* x 2))) |
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))) |
(* (* x x) (+ (* x -2) -3)) |
| 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 |
| 28.0ms | 512× | 0 | valid |
Compiled 70 to 32 computations (54.3% saved)
ival-mult: 9.0ms (71.4% of total)ival-sub: 2.0ms (15.9% 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× | accelerator-lowering-fma.f32 |
| 616× | accelerator-lowering-fma.f64 |
| 392× | *-lowering-*.f32 |
| 392× | *-lowering-*.f64 |
| 154× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 16 | 23 |
| 2 | 44 | 23 |
| 3 | 108 | 23 |
| 4 | 195 | 23 |
| 5 | 253 | 23 |
| 6 | 333 | 23 |
| 7 | 487 | 23 |
| 8 | 610 | 23 |
| 9 | 692 | 23 |
| 10 | 848 | 23 |
| 11 | 850 | 23 |
| 0 | 850 | 21 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(* x x) |
x |
(- 3 (* x 2)) |
3 |
(* x 2) |
2 |
| Outputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(- 3 (* x 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#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: 4.0ms (65.5% of total)ival-sub: 1.0ms (16.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 3 (* x 2))> |
#<alt (* (* x x) (- 3 (* x 2)))> |
#<alt (* x x)> |
#<alt (* x 2)> |
| Outputs |
|---|
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x x) |
| 0.0ms | x | @ | inf | (- 3 (* x 2)) |
| 0.0ms | x | @ | 0 | (* (* x x) (- 3 (* x 2))) |
| 0.0ms | x | @ | -inf | (* x 2) |
| 0.0ms | x | @ | -inf | (* (* x x) (- 3 (* x 2))) |
| 1× | batch-egg-rewrite |
| 9 334× | accelerator-lowering-fma.f32 |
| 9 334× | accelerator-lowering-fma.f64 |
| 4 144× | *-lowering-*.f32 |
| 4 144× | *-lowering-*.f64 |
| 3 844× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 31 | 20 |
| 2 | 215 | 20 |
| 3 | 1751 | 20 |
| 0 | 8516 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 3 (* x 2)) |
(* (* x x) (- 3 (* x 2))) |
(* x x) |
(* x 2) |
| 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 #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 x) (*.f64 (*.f64 x 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 x) (*.f64 (*.f64 x 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 x) (*.f64 (*.f64 x 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))))) |
(-.f64 (/.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 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x x) #s(literal -2 binary64)))))) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x 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) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x 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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 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 (*.f64 x 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 x (*.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 (neg.f64 (*.f64 (*.f64 x 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 x (*.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 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x 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) (neg.f64 (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 (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (*.f64 x x)) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (/.f64 (*.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 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x 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 x (*.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 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x x) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (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 (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 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 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 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)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x 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 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)))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x x) #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (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) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 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 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x 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 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (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 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (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 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))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 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× | accelerator-lowering-fma.f32 |
| 20 650× | accelerator-lowering-fma.f64 |
| 3 112× | *-lowering-*.f32 |
| 3 112× | *-lowering-*.f64 |
| 2 720× | +-lowering-+.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 953 computations (90.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 13 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 13 | 336 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.7% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| 96.2% | (/.f64 (*.f64 x (*.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))) | |
| 99.7% | (/.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))))) | |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
| 99.7% | (*.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))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 71.3% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) | |
| ▶ | 99.8% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.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))))) |
| 57.5% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) | |
| 78.0% | (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) | |
| 62.2% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| ▶ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 390 to 236 computations (39.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
| ✓ | cost-diff | 1472 | (/.f64 (-.f64 #s(literal 0 binary64) (*.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)))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 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)) |
| 6 948× | accelerator-lowering-fma.f32 |
| 6 948× | accelerator-lowering-fma.f64 |
| 3 200× | *-lowering-*.f32 |
| 3 200× | *-lowering-*.f64 |
| 2 100× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 1 | 81 | 154 |
| 2 | 229 | 153 |
| 3 | 661 | 153 |
| 4 | 2343 | 149 |
| 5 | 6287 | 149 |
| 0 | 8223 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x -2) 3) (* x x)) |
(+ (* x -2) 3) |
x |
-2 |
3 |
(* x x) |
(* x (* x 3)) |
x |
(* x 3) |
3 |
(+ (* (* x x) 3) (* x (* (* x x) -2))) |
(* x x) |
x |
3 |
(* x (* (* x x) -2)) |
(* (* x x) -2) |
-2 |
(/ 1 (/ 1 (* x (* x (+ (* x -2) 3))))) |
1 |
(/ 1 (* x (* x (+ (* x -2) 3)))) |
(* x (* x (+ (* x -2) 3))) |
x |
(* x (+ (* x -2) 3)) |
(+ (* x -2) 3) |
-2 |
3 |
(* (* x x) (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3)))) |
(* x x) |
x |
(/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3))) |
(- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) |
0 |
(* (+ (* x 2) -3) (+ (* x 2) -3)) |
(+ (* x 2) -3) |
2 |
-3 |
(+ 0 (+ (* x 2) -3)) |
| Outputs |
|---|
(* (+ (* x -2) 3) (* x x)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(+ (* x -2) 3) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
x |
-2 |
#s(literal -2 binary64) |
3 |
#s(literal 3 binary64) |
(* x x) |
(*.f64 x x) |
(* x (* x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
x |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ (* (* x x) 3) (* x (* (* x x) -2))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(* x (* (* x x) -2)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (* x x) -2) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
-2 |
#s(literal -2 binary64) |
(/ 1 (/ 1 (* x (* x (+ (* x -2) 3))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x (* x (+ (* x -2) 3)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(* x (* x (+ (* x -2) 3))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
x |
(* x (+ (* x -2) 3)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(+ (* x -2) 3) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
-2 |
#s(literal -2 binary64) |
3 |
#s(literal 3 binary64) |
(* (* x x) (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
0 |
#s(literal 0 binary64) |
(* (+ (* x 2) -3) (+ (* x 2) -3)) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(+ (* x 2) -3) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
2 |
#s(literal 2 binary64) |
-3 |
#s(literal -3 binary64) |
(+ 0 (+ (* x 2) -3)) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.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))))) |
| ✓ | accuracy | 73.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.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)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
| ✓ | accuracy | 87.7% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| ✓ | 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 | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 57.0ms | 243× | 0 | valid |
| 6.0ms | 13× | 2 | valid |
Compiled 181 to 30 computations (83.4% saved)
ival-mult: 34.0ms (72.7% of total)ival-div: 5.0ms (10.7% of total)ival-add: 5.0ms (10.7% of total)adjust: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ (* x -2) 3) (* x x))> |
#<alt (+ (* x -2) 3)> |
#<alt (* x x)> |
#<alt (* x (* x 3))> |
#<alt (* x 3)> |
#<alt (+ (* (* x x) 3) (* x (* (* x x) -2)))> |
#<alt (* x (* (* x x) -2))> |
#<alt (* (* x x) -2)> |
#<alt (/ 1 (/ 1 (* x (* x (+ (* x -2) 3)))))> |
#<alt (/ 1 (* x (* x (+ (* x -2) 3))))> |
#<alt (* x (* x (+ (* x -2) 3)))> |
#<alt (* x (+ (* x -2) 3))> |
#<alt (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3)))> |
#<alt (* (+ (* x 2) -3) (+ (* x 2) -3))> |
#<alt (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3)))> |
#<alt (+ 0 (+ (* x 2) -3))> |
#<alt (* (* x x) (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3))))> |
| 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 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -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 (pow x 2))> |
#<alt (/ (+ 1/3 (* 2/9 x)) (pow x 2))> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))> |
#<alt (/ -1/2 (pow x 3))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))> |
#<alt (/ -1/2 (pow x 3))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<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 9> |
#<alt (+ 9 (* -12 x))> |
#<alt (+ 9 (* x (- (* 4 x) 12)))> |
#<alt (+ 9 (* x (- (* 4 x) 12)))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (- 4 (* 12 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x))))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (- 4 (* 12 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x))))> |
#<alt -9> |
#<alt (- (* 12 x) 9)> |
#<alt (- (* x (+ 12 (* -4 x))) 9)> |
#<alt (- (* x (+ 12 (* -4 x))) 9)> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 4))> |
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2)))))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 12 (/ 1 x)) 4))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4))> |
#<alt -3> |
#<alt (- (* 2 x) 3)> |
#<alt (- (* 2 x) 3)> |
#<alt (- (* 2 x) 3)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (+ (* (* x x) 3) (* x (* (* x x) -2))) |
| 0.0ms | x | @ | inf | (* x (* x 3)) |
| 0.0ms | x | @ | -inf | (* x 3) |
| 0.0ms | x | @ | inf | (* (* x x) (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3)))) |
| 0.0ms | x | @ | 0 | (+ (* (* x x) 3) (* x (* (* x x) -2))) |
| 1× | batch-egg-rewrite |
| 4 096× | /-lowering-/.f32 |
| 4 096× | /-lowering-/.f64 |
| 3 666× | *-lowering-*.f32 |
| 3 666× | *-lowering-*.f64 |
| 3 528× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 134 |
| 1 | 166 | 114 |
| 2 | 1522 | 112 |
| 0 | 8642 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x -2) 3) (* x x)) |
(+ (* x -2) 3) |
(* x x) |
(* x (* x 3)) |
(* x 3) |
(+ (* (* x x) 3) (* x (* (* x x) -2))) |
(* x (* (* x x) -2)) |
(* (* x x) -2) |
(/ 1 (/ 1 (* x (* x (+ (* x -2) 3))))) |
(/ 1 (* x (* x (+ (* x -2) 3)))) |
(* x (* x (+ (* x -2) 3))) |
(* x (+ (* x -2) 3)) |
(/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3))) |
(* (+ (* x 2) -3) (+ (* x 2) -3)) |
(- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) |
(+ 0 (+ (* x 2) -3)) |
(* (* x x) (/ (- 0 (* (+ (* x 2) -3) (+ (* x 2) -3))) (+ 0 (+ (* x 2) -3)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #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 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) x) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) x) x) (/.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x x)) x) (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) x) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(neg.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))))) (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 (neg.f64 (*.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 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)))) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (*.f64 x x) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 x x) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (*.f64 (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 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (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 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (*.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 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)))) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (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)))) |
| 1× | egg-herbie |
| 4 820× | accelerator-lowering-fma.f32 |
| 4 820× | accelerator-lowering-fma.f64 |
| 2 968× | *-lowering-*.f32 |
| 2 968× | *-lowering-*.f64 |
| 1 378× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1282 |
| 1 | 338 | 1278 |
| 2 | 878 | 1272 |
| 3 | 2156 | 1264 |
| 4 | 5365 | 1264 |
| 0 | 8117 | 1147 |
| 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 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -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 (pow x 2)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/ -1/2 (pow x 3)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 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))))) |
9 |
(+ 9 (* -12 x)) |
(+ 9 (* x (- (* 4 x) 12))) |
(+ 9 (* x (- (* 4 x) 12))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x)))) |
(* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (- 4 (* 12 (/ 1 x)))) |
(* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x)))) |
(* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x)))) |
-9 |
(- (* 12 x) 9) |
(- (* x (+ 12 (* -4 x))) 9) |
(- (* x (+ 12 (* -4 x))) 9) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 12 (/ 1 x)) 4)) |
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2))))) |
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2))))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 12 (/ 1 x)) 4)) |
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4)) |
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4)) |
-3 |
(- (* 2 x) 3) |
(- (* 2 x) 3) |
(- (* 2 x) 3) |
(* 2 x) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* 2 x) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
3 |
#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 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 2/9 x)) (pow x 2)) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal -3/4 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ -1/2 (pow x 3)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x) #s(literal -3/4 binary64)) x)) (*.f64 x (*.f64 x x))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 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)) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -12 x)) |
(fma.f64 x #s(literal -12 binary64) #s(literal 9 binary64)) |
(+ 9 (* x (- (* 4 x) 12))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(+ 9 (* x (- (* 4 x) 12))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (- 4 (* 12 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64))) |
(* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (- (+ 4 (/ 9 (pow x 2))) (* 12 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (- 4 (* 12 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64))) |
(* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 4 (* -1 (/ (- 12 (* 9 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -12 binary64)) #s(literal 9 binary64)) |
-9 |
#s(literal -9 binary64) |
(- (* 12 x) 9) |
(fma.f64 x #s(literal 12 binary64) #s(literal -9 binary64)) |
(- (* x (+ 12 (* -4 x))) 9) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
(- (* x (+ 12 (* -4 x))) 9) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- (* 12 (/ 1 x)) 4)) |
(*.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64))) |
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
(* (pow x 2) (- (* 12 (/ 1 x)) (+ 4 (/ 9 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
(* -4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -4 binary64))) |
(* (pow x 2) (- (* 12 (/ 1 x)) 4)) |
(*.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4)) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (* 9 (/ 1 x)) 12) x)) 4)) |
(fma.f64 x (fma.f64 x #s(literal -4 binary64) #s(literal 12 binary64)) #s(literal -9 binary64)) |
-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)) |
(* x (- 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* x (- 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* 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 (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
Compiled 70 655 to 5 400 computations (92.4% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 974 | 6 | 1 980 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 979 | 14 | 1 993 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.7% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| 99.8% | (/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 96.2% | (/.f64 (*.f64 x (*.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 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
| ▶ | 61.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))) |
| ▶ | 61.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) | |
| 99.7% | (*.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))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 71.3% | (*.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) | |
| 57.5% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) | |
| 78.0% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) | |
| ▶ | 62.2% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 340 to 223 computations (34.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.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))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (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))))) |
| 6 188× | *-lowering-*.f32 |
| 6 188× | *-lowering-*.f64 |
| 3 168× | cube-prod |
| 2 748× | /-lowering-/.f32 |
| 2 748× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 140 |
| 1 | 68 | 138 |
| 2 | 156 | 138 |
| 3 | 272 | 138 |
| 4 | 477 | 138 |
| 5 | 756 | 138 |
| 6 | 1037 | 138 |
| 7 | 1203 | 136 |
| 8 | 1410 | 136 |
| 9 | 1646 | 136 |
| 10 | 1760 | 136 |
| 11 | 2175 | 136 |
| 12 | 2404 | 136 |
| 13 | 2590 | 136 |
| 14 | 2796 | 136 |
| 15 | 3069 | 136 |
| 16 | 3444 | 136 |
| 17 | 3928 | 136 |
| 18 | 4527 | 136 |
| 19 | 4789 | 136 |
| 20 | 4955 | 136 |
| 21 | 5103 | 136 |
| 22 | 5215 | 136 |
| 23 | 5327 | 136 |
| 24 | 6025 | 136 |
| 25 | 7053 | 136 |
| 26 | 7491 | 136 |
| 27 | 7579 | 136 |
| 28 | 7667 | 136 |
| 29 | 7755 | 136 |
| 30 | 7861 | 136 |
| 31 | 7957 | 136 |
| 0 | 8035 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ 1 (* x (+ (* x -2) 3)))) |
x |
(/ 1 (* x (+ (* x -2) 3))) |
1 |
(* x (+ (* x -2) 3)) |
(+ (* x -2) 3) |
-2 |
3 |
(* (* x x) 3) |
(* x x) |
x |
3 |
(/ 1 (/ 1/3 (* x x))) |
1 |
(/ 1/3 (* x x)) |
1/3 |
(* x x) |
x |
(/ 1 (/ 1 (* x (* x 3)))) |
1 |
(/ 1 (* x (* x 3))) |
(* x (* x 3)) |
x |
(* x 3) |
3 |
(/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
(* x (* x (+ (* (* x x) -4) 9))) |
x |
(* x (+ (* (* x x) -4) 9)) |
(+ (* (* x x) -4) 9) |
(* x x) |
-4 |
9 |
(+ (* x 2) 3) |
2 |
3 |
| Outputs |
|---|
(/ x (/ 1 (* x (+ (* x -2) 3)))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
x |
(/ 1 (* x (+ (* x -2) 3))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (+ (* x -2) 3)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(+ (* x -2) 3) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
-2 |
#s(literal -2 binary64) |
3 |
#s(literal 3 binary64) |
(* (* x x) 3) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* x x) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(/ 1 (/ 1/3 (* x x))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(/ 1/3 (* x x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ 1 (/ 1 (* x (* x 3)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x (* x 3))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* x (* x 3)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
x |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
(/.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 (* x (+ (* (* x x) -4) 9))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) |
x |
(* x (+ (* (* x x) -4) 9)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(+ (* (* x x) -4) 9) |
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)) |
(* x x) |
(*.f64 x x) |
-4 |
#s(literal -4 binary64) |
9 |
#s(literal 9 binary64) |
(+ (* x 2) 3) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
3 |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
| ✓ | accuracy | 96.3% | (/.f64 (*.f64 x (*.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))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1/3 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 | 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 | 99.0% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
| 49.0ms | 230× | 0 | valid |
| 7.0ms | 18× | 2 | valid |
| 4.0ms | 6× | 3 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 140 to 30 computations (78.6% saved)
ival-mult: 20.0ms (46.4% of total)ival-div: 13.0ms (30.1% of total)const: 4.0ms (9.3% of total)ival-add: 4.0ms (9.3% of total)adjust: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ 1 (* x (+ (* x -2) 3))))> |
#<alt (/ 1 (* x (+ (* x -2) 3)))> |
#<alt (* x (+ (* x -2) 3))> |
#<alt (+ (* x -2) 3)> |
#<alt (* (* x x) 3)> |
#<alt (* x x)> |
#<alt (/ 1 (/ 1/3 (* x x)))> |
#<alt (/ 1/3 (* x x))> |
#<alt (/ 1 (/ 1 (* x (* x 3))))> |
#<alt (/ 1 (* x (* x 3)))> |
#<alt (* x (* x 3))> |
#<alt (* x 3)> |
#<alt (/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3))> |
#<alt (* x (* x (+ (* (* x x) -4) 9)))> |
#<alt (* x (+ (* (* x x) -4) 9))> |
#<alt (+ (* (* x x) -4) 9)> |
| 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 (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 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)> |
#<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 (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (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 (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (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 (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* -4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<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))))))> |
#<alt 9> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/ 1/3 (* x x)) |
| 0.0ms | x | @ | 0 | (/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
| 0.0ms | x | @ | inf | (/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
| 0.0ms | x | @ | -inf | (/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
| 0.0ms | x | @ | inf | (* x (* x (+ (* (* x x) -4) 9))) |
| 1× | batch-egg-rewrite |
| 6 296× | accelerator-lowering-fma.f32 |
| 6 296× | accelerator-lowering-fma.f64 |
| 5 214× | *-lowering-*.f32 |
| 5 214× | *-lowering-*.f64 |
| 3 964× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 106 |
| 1 | 154 | 102 |
| 2 | 996 | 102 |
| 0 | 8853 | 94 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ 1 (* x (+ (* x -2) 3)))) |
(/ 1 (* x (+ (* x -2) 3))) |
(* x (+ (* x -2) 3)) |
(+ (* x -2) 3) |
(* (* x x) 3) |
(* x x) |
(/ 1 (/ 1/3 (* x x))) |
(/ 1/3 (* x x)) |
(/ 1 (/ 1 (* x (* x 3)))) |
(/ 1 (* x (* x 3))) |
(* x (* x 3)) |
(* x 3) |
(/ (* x (* x (+ (* (* x x) -4) 9))) (+ (* x 2) 3)) |
(* x (* x (+ (* (* x x) -4) 9))) |
(* x (+ (* (* x x) -4) 9)) |
(+ (* (* x x) -4) 9) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal -4 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) |
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(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -531441 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))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal -729 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -531441 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 256 binary64) (+.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1296 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 256 binary64) #s(literal -6561 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal 729 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) |
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal 729 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal -36 binary64))) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal -36 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal -36 binary64))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 256 binary64) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal -36 binary64))) (-.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal -36 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal 729 binary64)) (*.f64 (+.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 (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 (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)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -64 binary64) #s(literal -729 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)))) |
| 1× | egg-herbie |
| 5 784× | accelerator-lowering-fma.f32 |
| 5 784× | accelerator-lowering-fma.f64 |
| 2 936× | *-lowering-*.f32 |
| 2 936× | *-lowering-*.f64 |
| 1 216× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1168 |
| 1 | 253 | 1168 |
| 2 | 628 | 1162 |
| 3 | 1613 | 1162 |
| 4 | 3933 | 1158 |
| 5 | 6535 | 1158 |
| 0 | 8125 | 1089 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* 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) |
(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)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (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)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (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)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* 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)))))) |
9 |
(+ 9 (* -4 (pow x 2))) |
(+ 9 (* -4 (pow x 2))) |
(+ 9 (* -4 (pow x 2))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.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)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(+ 3 (* -2 x)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 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) |
(*.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)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 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)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 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)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 #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))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* -4 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* -4 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* -4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* -4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) |
9 |
#s(literal 9 binary64) |
(+ 9 (* -4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(+ 9 (* -4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(+ 9 (* -4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* -4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -4 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* -4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -4 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) |
Compiled 40 927 to 3 946 computations (90.4% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 837 | 9 | 1 846 |
| Fresh | 4 | 2 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 846 | 14 | 1 860 |
| Status | Accuracy | Program |
|---|---|---|
| 95.8% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) | |
| 56.0% | (/.f64 (*.f64 (*.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)))) x) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) | |
| ▶ | 99.8% | (/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| 74.7% | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) | |
| ▶ | 45.1% | (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
| 62.2% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) | |
| ▶ | 62.2% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
| 78.0% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| ▶ | 61.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)) |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 78.0% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 62.2% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 273 to 180 computations (34.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
| ✓ | 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 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | 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 | 1088 | (/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| 1 960× | accelerator-lowering-fma.f32 |
| 1 960× | accelerator-lowering-fma.f64 |
| 1 912× | div-sub |
| 1 580× | *-lowering-*.f32 |
| 1 580× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 99 |
| 1 | 57 | 99 |
| 2 | 97 | 97 |
| 3 | 124 | 97 |
| 4 | 251 | 97 |
| 5 | 398 | 95 |
| 6 | 479 | 95 |
| 7 | 496 | 95 |
| 8 | 516 | 95 |
| 9 | 590 | 95 |
| 10 | 757 | 95 |
| 11 | 955 | 95 |
| 12 | 1562 | 95 |
| 13 | 2609 | 95 |
| 14 | 3518 | 95 |
| 15 | 3892 | 95 |
| 16 | 4081 | 95 |
| 17 | 4094 | 95 |
| 18 | 4212 | 95 |
| 19 | 4536 | 93 |
| 20 | 4992 | 93 |
| 21 | 5580 | 93 |
| 22 | 5975 | 93 |
| 23 | 6147 | 93 |
| 24 | 6411 | 93 |
| 25 | 6457 | 93 |
| 26 | 6497 | 93 |
| 27 | 6607 | 93 |
| 28 | 6977 | 93 |
| 29 | 7634 | 93 |
| 0 | 8022 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ (* x 2) -3)) (/ -1 x)) |
(* x (+ (* x 2) -3)) |
x |
(+ (* x 2) -3) |
2 |
-3 |
(/ -1 x) |
-1 |
(* (* x x) (* x -2)) |
(* x x) |
x |
(* x -2) |
-2 |
(/ x (/ 1/3 x)) |
x |
(/ 1/3 x) |
1/3 |
(/ (* x (* x 9)) (+ (* x 2) 3)) |
(* x (* x 9)) |
x |
(* x 9) |
9 |
(+ (* x 2) 3) |
2 |
3 |
(/ 1 (/ (/ 1/3 x) x)) |
1 |
(/ (/ 1/3 x) x) |
(/ 1/3 x) |
1/3 |
x |
| Outputs |
|---|
(/ (* x (+ (* x 2) -3)) (/ -1 x)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(* x (+ (* x 2) -3)) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
x |
(+ (* x 2) -3) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
2 |
#s(literal 2 binary64) |
-3 |
#s(literal -3 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(* (* x x) (* x -2)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ x (/ 1/3 x)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
x |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
(/ (* x (* x 9)) (+ (* x 2) 3)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(* x (* x 9)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
x |
(* x 9) |
(*.f64 x #s(literal 9 binary64)) |
9 |
#s(literal 9 binary64) |
(+ (* x 2) 3) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
3 |
#s(literal 3 binary64) |
(/ 1 (/ (/ 1/3 x) x)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (/ 1/3 x) x) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 9 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 9 binary64))) |
| ✓ | accuracy | 73.4% | (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
| 51.0ms | 227× | 0 | valid |
| 6.0ms | 22× | 1 | valid |
| 5.0ms | 7× | 2 | valid |
Compiled 98 to 27 computations (72.4% saved)
ival-div: 25.0ms (56.7% of total)ival-mult: 11.0ms (24.9% of total)const: 4.0ms (9.1% of total)ival-add: 3.0ms (6.8% of total)adjust: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* x (+ (* x 2) -3)) (/ -1 x))> |
#<alt (* x (+ (* x 2) -3))> |
#<alt (+ (* x 2) -3)> |
#<alt (/ -1 x)> |
#<alt (* (* x x) (* x -2))> |
#<alt (* x x)> |
#<alt (* x -2)> |
#<alt (/ x (/ 1/3 x))> |
#<alt (/ 1/3 x)> |
#<alt (/ (* x (* x 9)) (+ (* x 2) 3))> |
#<alt (* x (* x 9))> |
#<alt (* x 9)> |
#<alt (+ (* x 2) 3)> |
#<alt (/ 1 (/ (/ 1/3 x) x))> |
#<alt (/ (/ 1/3 x) x)> |
| 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 (- (* 2 x) 3))> |
#<alt (* x (- (* 2 x) 3))> |
#<alt (* x (- (* 2 x) 3))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))> |
#<alt -3> |
#<alt (- (* 2 x) 3)> |
#<alt (- (* 2 x) 3)> |
#<alt (- (* 2 x) 3)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* x (- 2 (* 3 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))> |
#<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 (* -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 (* 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 (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* x (- (* 4/3 x) 2))))> |
#<alt (* (pow x 2) (+ 3 (* x (- (* x (+ 4/3 (* -8/9 x))) 2))))> |
#<alt (* 9/2 x)> |
#<alt (* x (- 9/2 (* 27/4 (/ 1 x))))> |
#<alt (* x (- (+ 9/2 (/ 81/8 (pow x 2))) (* 27/4 (/ 1 x))))> |
#<alt (* x (- (+ 9/2 (/ 81/8 (pow x 2))) (+ (* 27/4 (/ 1 x)) (* 243/16 (/ 1 (pow x 3))))))> |
#<alt (* 9/2 x)> |
#<alt (* -1 (* x (- (* 27/4 (/ 1 x)) 9/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 243/16 (/ 1 x)) 81/8) x)) 27/4) x)) 9/2)))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 (pow x 2))> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt 3> |
#<alt (+ 3 (* 2 x))> |
#<alt (+ 3 (* 2 x))> |
#<alt (+ 3 (* 2 x))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 3 (/ 1 x))))> |
#<alt (* x (+ 2 (* 3 (/ 1 x))))> |
#<alt (* x (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 3 (/ 1 x))))> |
#<alt (* x (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 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 (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x (* x 9)) |
| 0.0ms | x | @ | -inf | (* x 9) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 0.0ms | x | @ | -inf | (/ 1/3 x) |
| 0.0ms | x | @ | inf | (/ -1 x) |
| 1× | batch-egg-rewrite |
| 2 938× | *-lowering-*.f32 |
| 2 938× | *-lowering-*.f64 |
| 2 552× | accelerator-lowering-fma.f32 |
| 2 552× | accelerator-lowering-fma.f64 |
| 2 126× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 81 |
| 1 | 120 | 78 |
| 2 | 711 | 77 |
| 3 | 5983 | 77 |
| 0 | 8786 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ (* x 2) -3)) (/ -1 x)) |
(* x (+ (* x 2) -3)) |
(+ (* x 2) -3) |
(/ -1 x) |
(* (* x x) (* x -2)) |
(* x x) |
(* x -2) |
(/ x (/ 1/3 x)) |
(/ 1/3 x) |
(/ (* x (* x 9)) (+ (* x 2) 3)) |
(* x (* x 9)) |
(* x 9) |
(+ (* x 2) 3) |
(/ 1 (/ (/ 1/3 x) x)) |
(/ (/ 1/3 x) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(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 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -3 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -3 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) x (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))))) (sqrt.f64 (*.f64 x (*.f64 x #s(literal -3 binary64)))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(neg.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x x) (/.f64 #s(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 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -27 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) x))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))) |
(/.f64 (*.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 (/.f64 #s(literal -1 binary64) x) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -27 binary64))) (/.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) x)) |
(/.f64 (*.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)) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -27 binary64))) x) (*.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
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(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
| 1× | egg-herbie |
| 10 388× | accelerator-lowering-fma.f32 |
| 10 388× | accelerator-lowering-fma.f64 |
| 2 924× | *-lowering-*.f32 |
| 2 924× | *-lowering-*.f64 |
| 1 498× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 884 |
| 1 | 246 | 876 |
| 2 | 621 | 872 |
| 3 | 1619 | 860 |
| 4 | 3966 | 860 |
| 5 | 6836 | 860 |
| 0 | 8058 | 812 |
| 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 (- (* 2 x) 3)) |
(* x (- (* 2 x) 3)) |
(* x (- (* 2 x) 3)) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
-3 |
(- (* 2 x) 3) |
(- (* 2 x) 3) |
(- (* 2 x) 3) |
(* 2 x) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* x (- 2 (* 3 (/ 1 x)))) |
(* 2 x) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -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)) |
(* 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) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* x (- (* 4/3 x) 2)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 4/3 (* -8/9 x))) 2)))) |
(* 9/2 x) |
(* x (- 9/2 (* 27/4 (/ 1 x)))) |
(* x (- (+ 9/2 (/ 81/8 (pow x 2))) (* 27/4 (/ 1 x)))) |
(* x (- (+ 9/2 (/ 81/8 (pow x 2))) (+ (* 27/4 (/ 1 x)) (* 243/16 (/ 1 (pow x 3)))))) |
(* 9/2 x) |
(* -1 (* x (- (* 27/4 (/ 1 x)) 9/2))) |
(* -1 (* x (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 243/16 (/ 1 x)) 81/8) x)) 27/4) x)) 9/2))) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 (pow x 2)) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
3 |
(+ 3 (* 2 x)) |
(+ 3 (* 2 x)) |
(+ 3 (* 2 x)) |
(* 2 x) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* 2 x) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(* 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)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 x) 3)) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* x (- (* 2 x) 3)) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* x (- (* 2 x) 3)) |
(*.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) (- 2 (* 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* (pow x 2) (- 2 (* 3 (/ 1 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) (- 2 (* 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
(* (pow x 2) (- 2 (* 3 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) |
-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)) |
(* x (- 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* x (- 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* 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 (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) 2))) |
(fma.f64 x #s(literal 2 binary64) #s(literal -3 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) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(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)) |
(* 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)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* x (- (* 4/3 x) 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(* (pow x 2) (+ 3 (* x (- (* x (+ 4/3 (* -8/9 x))) 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/9 binary64) #s(literal 4/3 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(* 9/2 x) |
(*.f64 x #s(literal 9/2 binary64)) |
(* x (- 9/2 (* 27/4 (/ 1 x)))) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(* x (- (+ 9/2 (/ 81/8 (pow x 2))) (* 27/4 (/ 1 x)))) |
(+.f64 #s(literal -27/4 binary64) (fma.f64 x #s(literal 9/2 binary64) (/.f64 #s(literal 81/8 binary64) x))) |
(* x (- (+ 9/2 (/ 81/8 (pow x 2))) (+ (* 27/4 (/ 1 x)) (* 243/16 (/ 1 (pow x 3)))))) |
(+.f64 (fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) (/.f64 (+.f64 #s(literal 81/8 binary64) (/.f64 #s(literal -243/16 binary64) x)) x)) |
(* 9/2 x) |
(*.f64 x #s(literal 9/2 binary64)) |
(* -1 (* x (- (* 27/4 (/ 1 x)) 9/2))) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(* -1 (* x (- (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) x)) 9/2))) |
(+.f64 #s(literal -27/4 binary64) (fma.f64 x #s(literal 9/2 binary64) (/.f64 #s(literal 81/8 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 243/16 (/ 1 x)) 81/8) x)) 27/4) x)) 9/2))) |
(+.f64 (fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) (/.f64 (+.f64 #s(literal 81/8 binary64) (/.f64 #s(literal -243/16 binary64) x)) x)) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 9 binary64))) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 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 (+ 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
(* x (+ 2 (* 3 (/ 1 x)))) |
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) |
(* 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)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
Compiled 21 988 to 2 484 computations (88.7% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 202 | 8 | 1 210 |
| Fresh | 1 | 5 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 206 | 18 | 1 224 |
| Status | Accuracy | Program |
|---|---|---|
| 1.5% | (fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) | |
| 95.8% | (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.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))) (/.f64 #s(literal -1 binary64) x)) |
| 64.8% | (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.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)))) | |
| 74.7% | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) | |
| 62.2% | (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)) | |
| 78.0% | (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) | |
| 62.2% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) | |
| 78.0% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| 78.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
| 45.1% | (*.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x #s(literal 9 binary64))) | |
| ✓ | 78.0% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 62.2% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 36.7% | (*.f64 (*.f64 x x) #s(literal -3 binary64)) | |
| 36.7% | (*.f64 (*.f64 x #s(literal -3 binary64)) x) | |
| ✓ | 62.3% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| 2.8% | (*.f64 x #s(literal 9/2 binary64)) |
Compiled 597 to 257 computations (57% saved)
| Inputs |
|---|
(*.f64 x #s(literal 9/2 binary64)) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -3 binary64)) x) |
(*.f64 (*.f64 x 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 x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x (*.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 (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 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.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))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.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 (*.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) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 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 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
2 calls:
| 11.0ms | x |
| 9.0ms | (*.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 #s(literal 9/2 binary64)) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -3 binary64)) x) |
(*.f64 (*.f64 x 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 x) (*.f64 x #s(literal -2 binary64))) |
| 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:
| 4.0ms | x |
| 3.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.5% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 9/2 binary64)) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -3 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -3 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal -3 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 2 | x |
| 75.2% | 2 | (*.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 #s(literal 9/2 binary64)) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)
Total -0.8b remaining (-1.4%)
Threshold costs -0.8b (-1.4%)
| Inputs |
|---|
(*.f64 x #s(literal 9/2 binary64)) |
(fma.f64 x #s(literal 9/2 binary64) #s(literal -27/4 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 9/2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 2.8% | 1 | x |
Compiled 12 to 8 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.138514835753156e-11 | 135259268.65450382 |
| 0.0ms | -4.0677742249479643e+36 | 0.0 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.0677742249479643e+36 | 0.0 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 26× | *-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 | 26 | 75 |
| 1 | 44 | 75 |
| 2 | 56 | 75 |
| 3 | 62 | 75 |
| 4 | 66 | 75 |
| 5 | 67 | 75 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -4000000000000000169682549496071847936 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 7737125245533627/77371252455336267181195264 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 -4000000000000000169682549496071847936 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) x) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 9/2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -4000000000000000169682549496071847936 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 7737125245533627/77371252455336267181195264 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 -4000000000000000169682549496071847936 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 7737125245533627/77371252455336267181195264 binary64)) (*.f64 x (*.f64 x #s(literal 3 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 -4000000000000000169682549496071847936 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) x) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -4000000000000000169682549496071847936 binary64)) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 9/2 binary64)) |
| 20 650× | accelerator-lowering-fma.f32 |
| 20 650× | accelerator-lowering-fma.f64 |
| 10 388× | accelerator-lowering-fma.f32 |
| 10 388× | accelerator-lowering-fma.f64 |
| 9 334× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 81 |
| 1 | 120 | 78 |
| 2 | 711 | 77 |
| 3 | 5983 | 77 |
| 0 | 8786 | 72 |
| 0 | 98 | 1168 |
| 1 | 253 | 1168 |
| 2 | 628 | 1162 |
| 3 | 1613 | 1162 |
| 4 | 3933 | 1158 |
| 5 | 6535 | 1158 |
| 0 | 8125 | 1089 |
| 0 | 7 | 20 |
| 1 | 31 | 20 |
| 2 | 215 | 20 |
| 3 | 1751 | 20 |
| 0 | 8516 | 18 |
| 0 | 91 | 884 |
| 1 | 246 | 876 |
| 2 | 621 | 872 |
| 3 | 1619 | 860 |
| 4 | 3966 | 860 |
| 5 | 6836 | 860 |
| 0 | 8058 | 812 |
| 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 | 28 | 106 |
| 1 | 154 | 102 |
| 2 | 996 | 102 |
| 0 | 8853 | 94 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 126 to 57 computations (54.8% saved)
Compiled 204 to 80 computations (60.8% saved)
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