
Time bar (total: 3.6s)
| 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 7 to 6 computations (14.3% saved)
| 362.0ms | 8 256× | 0 | valid |
ival-mult: 80.0ms (48.5% of total)ival-sub: 71.0ms (43% of total)ival-true: 6.0ms (3.6% of total)exact: 5.0ms (3% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 4.0ms (50.3% of total)ival-sub: 3.0ms (37.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 144× | lower-fma.f64 |
| 144× | lower-fma.f32 |
| 88× | lower-*.f32 |
| 86× | lower-*.f64 |
| 48× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 22 | 11 |
| 2 | 55 | 10 |
| 3 | 161 | 10 |
| 4 | 210 | 10 |
| 5 | 218 | 10 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 12 | 5 |
| 2 | 18 | 5 |
| 3 | 21 | 5 |
| 4 | 23 | 5 |
| 5 | 28 | 5 |
| 6 | 38 | 5 |
| 7 | 56 | 5 |
| 8 | 113 | 5 |
| 9 | 199 | 5 |
| 10 | 228 | 5 |
| 11 | 228 | 5 |
| 0 | 228 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x (neg.f64 x)) |
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 144× | lower-fma.f64 |
| 144× | lower-fma.f32 |
| 88× | lower-*.f32 |
| 86× | lower-*.f64 |
| 48× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 12 | 10 |
| 2 | 18 | 10 |
| 3 | 21 | 10 |
| 4 | 23 | 10 |
| 5 | 28 | 10 |
| 6 | 38 | 10 |
| 7 | 56 | 10 |
| 8 | 113 | 10 |
| 9 | 199 | 10 |
| 10 | 228 | 10 |
| 11 | 228 | 10 |
| 0 | 228 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x (neg.f64 x)) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 11.0ms | 256× | 0 | valid |
Compiled 12 to 6 computations (50% saved)
ival-mult: 3.0ms (64.8% of total)ival-sub: 2.0ms (43.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* x (- x 1)) (- x 1)) |
| 0.0ms | x | @ | -inf | ((* x (- x 1)) (- x 1)) |
| 0.0ms | x | @ | 0 | ((* x (- x 1)) (- x 1)) |
| 1× | egg-herbie |
| 5 856× | lower-fma.f64 |
| 5 856× | lower-fma.f32 |
| 3 966× | lower-*.f64 |
| 3 966× | lower-*.f32 |
| 1 360× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 83 |
| 1 | 32 | 83 |
| 2 | 75 | 83 |
| 3 | 133 | 83 |
| 4 | 381 | 83 |
| 5 | 1592 | 83 |
| 6 | 2757 | 83 |
| 7 | 3875 | 83 |
| 8 | 5224 | 83 |
| 9 | 6705 | 83 |
| 10 | 7600 | 83 |
| 0 | 8010 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
| 8 622× | lower-fma.f64 |
| 8 622× | lower-fma.f32 |
| 4 178× | lower-/.f64 |
| 4 178× | lower-/.f32 |
| 3 404× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 25 | 8 |
| 2 | 138 | 8 |
| 3 | 1250 | 8 |
| 0 | 8952 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 x) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (fma.f64 (neg.f64 x) x (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) x))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 6 888 to 877 computations (87.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 3 | 321 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 319 | 3 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x x (neg.f64 x)) |
| ▶ | 48.6% | #s(approx (* x (- x 1)) (*.f64 x x)) |
| ▶ | 53.9% | #s(approx (* x (- x 1)) (neg.f64 x)) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 x x (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* x (- x 1)) (*.f64 x x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (* x (- x 1)) (neg.f64 x)) |
| 144× | lower-fma.f32 |
| 142× | lower-fma.f64 |
| 88× | lower-*.f32 |
| 86× | lower-*.f64 |
| 48× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 12 | 32 |
| 1 | 22 | 32 |
| 2 | 31 | 32 |
| 3 | 42 | 32 |
| 4 | 60 | 32 |
| 5 | 117 | 32 |
| 6 | 205 | 32 |
| 7 | 234 | 32 |
| 8 | 234 | 32 |
| 0 | 234 | 32 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- x 1)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 x x (neg.f64 x)) |
x |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (* x (- x 1)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 x x (neg.f64 x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
x |
(neg.f64 x) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 32.883879908836185 | #s(approx (* x (- x 1)) (*.f64 x x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 29.513501984858852 | #s(approx (* x (- x 1)) (neg.f64 x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 28 to 9 computations (67.9% saved)
ival-mult: 8.0ms (65% of total)ival-sub: 2.0ms (16.2% of total)ival-add: 1.0ms (8.1% of total)ival-neg: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x))) |
| 1.0ms | x | @ | -inf | ((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x))) |
| 0.0ms | x | @ | 0 | ((* x (- x 1)) (neg x) (* x (- x 1)) (* x x) (+ (* x x) (neg x))) |
| 1× | egg-herbie |
| 7 050× | lower-fma.f64 |
| 7 050× | lower-fma.f32 |
| 4 338× | lower-*.f64 |
| 4 338× | lower-*.f32 |
| 1 582× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 219 |
| 1 | 22 | 219 |
| 2 | 40 | 219 |
| 3 | 82 | 219 |
| 4 | 191 | 219 |
| 5 | 373 | 219 |
| 6 | 698 | 219 |
| 7 | 2322 | 219 |
| 8 | 3755 | 219 |
| 9 | 5759 | 219 |
| 10 | 7525 | 219 |
| 0 | 8089 | 219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) 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) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) 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) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
| 4 136× | lower-fma.f32 |
| 4 134× | lower-fma.f64 |
| 3 126× | lower-/.f64 |
| 3 126× | lower-/.f32 |
| 1 934× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 12 | 27 |
| 1 | 48 | 27 |
| 2 | 327 | 22 |
| 3 | 3611 | 22 |
| 0 | 8507 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- x 1)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 x x (neg.f64 x)) |
| Outputs |
|---|
#s(approx (* x (- x 1)) x) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 x) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x (/.f64 #s(literal 0 binary64) x)) |
(exp.f64 (log.f64 x)) |
(+.f64 #s(literal 0 binary64) x) |
(+.f64 x #s(literal 0 binary64)) |
x |
#s(approx (* x (- x 1)) (*.f64 x x)) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) |
(/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(neg.f64 (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) (*.f64 x x))) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(/.f64 (fma.f64 x x x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 x x x)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x) x) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 x x)) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 x x x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 x x x))))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 x x x)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 x x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (fma.f64 x x x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
(-.f64 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
Compiled 4 760 to 698 computations (85.3% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 2 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 388 | 5 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x x (neg.f64 x)) |
| ✓ | 48.6% | #s(approx (* x (- x 1)) (*.f64 x x)) |
| ▶ | 3.4% | #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
| ✓ | 53.9% | #s(approx (* x (- x 1)) (neg.f64 x)) |
| ▶ | 4.0% | #s(approx (* x (- x 1)) x) |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (neg.f64 (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* x (- x 1)) x) |
| 144× | lower-fma.f64 |
| 144× | lower-fma.f32 |
| 88× | lower-*.f32 |
| 86× | lower-*.f64 |
| 48× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 10 | 26 |
| 1 | 21 | 26 |
| 2 | 29 | 26 |
| 3 | 39 | 26 |
| 4 | 51 | 26 |
| 5 | 66 | 26 |
| 6 | 83 | 26 |
| 7 | 152 | 26 |
| 8 | 210 | 26 |
| 9 | 233 | 26 |
| 10 | 233 | 26 |
| 0 | 233 | 26 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
x |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (* x (- x 1)) x) |
x |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
#s(approx (* x (- x 1)) (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (neg.f64 (*.f64 x x)) | |
| accuracy | 61.80131414164302 | #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) | |
| accuracy | 61.45616771482471 | #s(approx (* x (- x 1)) x) |
| 48.0ms | 256× | 0 | valid |
Compiled 21 to 8 computations (61.9% saved)
ival-mult: 3.0ms (44% of total)ival-sub: 2.0ms (29.4% of total)ival-neg: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x)) |
| 0.0ms | x | @ | -inf | ((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x)) |
| 0.0ms | x | @ | 0 | ((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x)) |
| 1× | egg-herbie |
| 6 832× | lower-fma.f64 |
| 6 832× | lower-fma.f32 |
| 4 180× | lower-*.f64 |
| 4 180× | lower-*.f32 |
| 1 318× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 190 |
| 1 | 25 | 190 |
| 2 | 46 | 190 |
| 3 | 85 | 190 |
| 4 | 192 | 190 |
| 5 | 379 | 190 |
| 6 | 700 | 190 |
| 7 | 2338 | 190 |
| 8 | 3827 | 190 |
| 9 | 6243 | 190 |
| 0 | 8056 | 190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.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) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.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) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.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) |
| 5 036× | lower-/.f64 |
| 5 036× | lower-/.f32 |
| 3 930× | lower-*.f32 |
| 3 928× | lower-*.f64 |
| 3 748× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 10 | 24 |
| 1 | 35 | 24 |
| 2 | 164 | 24 |
| 3 | 1412 | 24 |
| 0 | 8686 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (neg.f64 x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 x (neg.f64 x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 x x)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 x (neg.f64 x) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 x x #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
Compiled 1 106 to 269 computations (75.7% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 0 | 125 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 125 | 5 | 130 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x x (neg.f64 x)) |
| ✓ | 48.6% | #s(approx (* x (- x 1)) (*.f64 x x)) |
| ✓ | 3.4% | #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
| ✓ | 53.9% | #s(approx (* x (- x 1)) (neg.f64 x)) |
| ✓ | 4.0% | #s(approx (* x (- x 1)) x) |
Compiled 43 to 27 computations (37.2% saved)
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (neg.f64 x)) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x (neg.f64 x)) |
| Outputs |
|---|
(fma.f64 x x (neg.f64 x)) |
2 calls:
| 5.0ms | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (neg.f64 x)) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
2 calls:
| 34.0ms | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (neg.f64 x)) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* x (- x 1)) (neg.f64 x)) |
#s(approx (* x (- x 1)) (*.f64 x x)) |
2 calls:
| 28.0ms | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 2 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
#s(approx (* x (- x 1)) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (* x (- x 1)) (neg.f64 x)) |
#s(approx (* x (- x 1)) x) |
2 calls:
| 36.0ms | x |
| 3.0ms | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 2 | x |
| 53.9% | 1 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
Compiled 6 to 5 computations (16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* x (- x 1)) x) |
| Outputs |
|---|
#s(approx (* x (- x 1)) x) |
2 calls:
| 3.0ms | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.0% | 1 | (*.f64 x (-.f64 x #s(literal 1 binary64))) |
| 4.0% | 1 | x |
Compiled 6 to 5 computations (16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00021364938009892917 | 2021969.4685658168 |
Compiled 8 to 8 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.9189218088875626 | 1422.459816086874 |
| 49.0ms | 128× | 0 | valid |
Compiled 48 to 64 computations (-33.3% saved)
ival-sub: 1.0ms (54.1% of total)ival-mult: 1.0ms (54.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
| 8× | *-commutative-binary64-*.f64 |
| 8× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 61 |
| 1 | 26 | 61 |
| 2 | 31 | 61 |
| 3 | 37 | 61 |
| 4 | 44 | 61 |
| 5 | 53 | 61 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (neg.f64 x)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) x)) |
#s(approx (* x (- x 1)) x) |
| Outputs |
|---|
(fma.f64 x x (neg.f64 x)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(if (<=.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) x)) |
#s(approx (* x (- x 1)) x) |
| 8 622× | lower-fma.f64 |
| 8 622× | lower-fma.f32 |
| 5 856× | lower-fma.f64 |
| 5 856× | lower-fma.f32 |
| 4 178× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 12 | 27 |
| 1 | 48 | 27 |
| 2 | 327 | 22 |
| 3 | 3611 | 22 |
| 0 | 8507 | 22 |
| 0 | 15 | 83 |
| 1 | 32 | 83 |
| 2 | 75 | 83 |
| 3 | 133 | 83 |
| 4 | 381 | 83 |
| 5 | 1592 | 83 |
| 6 | 2757 | 83 |
| 7 | 3875 | 83 |
| 8 | 5224 | 83 |
| 9 | 6705 | 83 |
| 10 | 7600 | 83 |
| 0 | 8010 | 83 |
| 0 | 4 | 8 |
| 0 | 6 | 8 |
| 1 | 25 | 8 |
| 2 | 138 | 8 |
| 3 | 1250 | 8 |
| 0 | 8952 | 8 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 63 to 37 computations (41.3% saved)
Compiled 92 to 44 computations (52.2% saved)
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