
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 340.0ms | 3 808× | 1 | valid |
| 226.0ms | 4 448× | 0 | valid |
ival-div: 208.0ms (51.3% of total)ival-add: 76.0ms (18.8% of total)adjust: 54.0ms (13.3% of total)ival-sub: 53.0ms (13.1% of total)exact: 7.0ms (1.7% of total)ival-true: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| 2× | egg-herbie |
| 128× | accelerator-lowering-fma.f32 |
| 128× | accelerator-lowering-fma.f64 |
| 80× | *-lowering-*.f32 |
| 80× | *-lowering-*.f64 |
| 56× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 26 | 28 |
| 2 | 60 | 27 |
| 3 | 122 | 27 |
| 4 | 196 | 27 |
| 5 | 269 | 27 |
| 6 | 320 | 27 |
| 7 | 339 | 27 |
| 8 | 342 | 27 |
| 0 | 6 | 9 |
| 1 | 11 | 9 |
| 2 | 19 | 9 |
| 3 | 28 | 9 |
| 4 | 40 | 9 |
| 5 | 60 | 9 |
| 6 | 101 | 9 |
| 7 | 144 | 9 |
| 8 | 213 | 9 |
| 9 | 247 | 9 |
| 10 | 256 | 9 |
| 0 | 256 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
| Outputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
| Inputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(- (/ 1 (+ (neg x) 1)) (/ 1 (neg x))) |
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (neg x)))) |
| Outputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ -1 x)) |
(- (/ 1 (+ (neg x) 1)) (/ 1 (neg x))) |
(+ (/ 1 x) (/ 1 (- 1 x))) |
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (neg x)))) |
(+ (/ -1 x) (/ 1 (+ x -1))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 59 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) | cancellation | 59 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 59 | 0 |
| - | 0 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 59 | 0 | 0 |
| - | 0 | 0 | 197 |
| number | freq |
|---|---|
| 0 | 197 |
| 1 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 240× | 1 | valid |
| 13.0ms | 272× | 0 | valid |
Compiled 68 to 28 computations (58.8% saved)
ival-div: 11.0ms (46.8% of total)ival-add: 5.0ms (21.3% of total)adjust: 3.0ms (12.8% of total)ival-sub: 3.0ms (12.8% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 128× | accelerator-lowering-fma.f32 |
| 128× | accelerator-lowering-fma.f64 |
| 80× | *-lowering-*.f32 |
| 80× | *-lowering-*.f64 |
| 56× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 1 | 11 | 22 |
| 2 | 19 | 22 |
| 3 | 28 | 22 |
| 4 | 40 | 22 |
| 5 | 60 | 22 |
| 6 | 101 | 22 |
| 7 | 144 | 22 |
| 8 | 213 | 22 |
| 9 | 247 | 22 |
| 10 | 256 | 22 |
| 0 | 256 | 22 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(/ 1 (+ x 1)) |
1 |
(+ x 1) |
x |
(/ 1 x) |
| Outputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(/ 1 (+ x 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | accuracy | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 12.0ms | 120× | 1 | valid |
| 6.0ms | 136× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-div: 5.0ms (42.5% of total)adjust: 2.0ms (17% of total)ival-add: 2.0ms (17% of total)ival-sub: 2.0ms (17% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (- (/ 1 (+ x 1)) (/ 1 x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/ 1 (+ x 1)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+ x 1) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (- (/ 1 (+ x 1)) (/ 1 x)) |
| 0.0ms | x | @ | inf | (- (/ 1 (+ x 1)) (/ 1 x)) |
| 0.0ms | x | @ | 0 | (- (/ 1 (+ x 1)) (/ 1 x)) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | inf | (+ x 1) |
| 1× | batch-egg-rewrite |
| 2 900× | accelerator-lowering-fma.f32 |
| 2 900× | accelerator-lowering-fma.f64 |
| 1 990× | *-lowering-*.f32 |
| 1 990× | *-lowering-*.f64 |
| 1 480× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 1 | 55 | 20 |
| 2 | 546 | 20 |
| 3 | 6025 | 20 |
| 0 | 9440 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 1 (+ x 1)) (/ 1 x)) |
(/ 1 (+ x 1)) |
(+ x 1) |
(/ 1 x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x x)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x))) |
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
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(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
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(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
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(+.f64 #s(literal -1 binary64) x) |
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(-.f64 #s(literal 1 binary64) x) |
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(-.f64 #s(literal -1 binary64) x) |
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(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
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(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
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(expm1.f64 (log.f64 x)) |
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(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 11 170× | accelerator-lowering-fma.f32 |
| 11 170× | accelerator-lowering-fma.f64 |
| 2 500× | *-lowering-*.f32 |
| 2 500× | *-lowering-*.f64 |
| 1 944× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 305 |
| 1 | 150 | 286 |
| 2 | 351 | 274 |
| 3 | 1017 | 268 |
| 4 | 3170 | 263 |
| 5 | 5268 | 262 |
| 6 | 6646 | 262 |
| 7 | 7448 | 262 |
| 8 | 7950 | 262 |
| 0 | 8009 | 260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
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)) |
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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Compiled 8 631 to 915 computations (89.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 364 | 9 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 364 | 10 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| 20.9% | (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))))) | |
| ▶ | 40.9% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| 50.8% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) | |
| 50.6% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| ▶ | 51.6% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 50.8% | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 50.7% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 41.2% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
| 50.5% | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
Compiled 294 to 124 computations (57.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| 12 834× | accelerator-lowering-fma.f32 |
| 12 834× | accelerator-lowering-fma.f64 |
| 2 578× | *-lowering-*.f32 |
| 2 578× | *-lowering-*.f64 |
| 1 446× | unsub-neg |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 93 |
| 1 | 36 | 93 |
| 2 | 95 | 93 |
| 3 | 272 | 93 |
| 4 | 713 | 93 |
| 5 | 2458 | 91 |
| 6 | 5906 | 91 |
| 7 | 7886 | 91 |
| 0 | 8029 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
-1 |
x |
(- 1 (/ 1 x)) |
1 |
(/ 1 x) |
x |
(- (- 1 x) (/ 1 x)) |
(- 1 x) |
1 |
x |
(/ 1 x) |
(/ (- 1 x) (* x (* x x))) |
(- 1 x) |
1 |
x |
(* x (* x x)) |
(* x x) |
(* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) |
(+ 1 (/ 1 (* x x))) |
1 |
(/ 1 (* x x)) |
(* x x) |
x |
(/ (- 1 x) (* x (* x x))) |
(- 1 x) |
(* x (* x x)) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(- (- 1 x) (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 x) (* x (* x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+ 1 (/ 1 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(/ (- 1 x) (* x (* x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 91.1% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 91.1% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| 28.0ms | 256× | 0 | valid |
Compiled 105 to 16 computations (84.8% saved)
ival-div: 8.0ms (47% of total)ival-mult: 4.0ms (23.5% of total)ival-sub: 3.0ms (17.6% of total)ival-add: 1.0ms (5.9% 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 (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ -1 x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (- 1 (/ 1 x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (- (- 1 x) (/ 1 x)) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x (* x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (- x 1))) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ (- 1 x) (* x (* x x))) |
| 0.0ms | x | @ | 0 | (/ -1 x) |
| 0.0ms | x | @ | -inf | (/ (- 1 x) (* x (* x x))) |
| 0.0ms | x | @ | inf | (* x (* x x)) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | batch-egg-rewrite |
| 5 710× | accelerator-lowering-fma.f32 |
| 5 710× | accelerator-lowering-fma.f64 |
| 4 244× | /-lowering-/.f32 |
| 4 244× | /-lowering-/.f64 |
| 3 156× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 61 |
| 1 | 101 | 55 |
| 2 | 969 | 55 |
| 0 | 9073 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(- 1 (/ 1 x)) |
(/ 1 x) |
(- (- 1 x) (/ 1 x)) |
(- 1 x) |
(/ (- 1 x) (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (+ 1 (/ 1 (* x x))) (/ (- 1 x) (* x (* x x)))) |
(+ 1 (/ 1 (* x x))) |
(/ 1 (* x x)) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 x (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 x (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
| 1× | egg-herbie |
| 11 638× | accelerator-lowering-fma.f32 |
| 11 638× | accelerator-lowering-fma.f64 |
| 2 672× | *-lowering-*.f32 |
| 2 672× | *-lowering-*.f64 |
| 1 748× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 709 |
| 1 | 142 | 682 |
| 2 | 378 | 622 |
| 3 | 1134 | 620 |
| 4 | 3556 | 612 |
| 5 | 6022 | 612 |
| 6 | 7648 | 612 |
| 0 | 8018 | 607 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 5)) |
(/ (+ 1 (* -1 x)) (pow x 5)) |
(/ (+ 1 (* x (- x 1))) (pow x 5)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
1 |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
1 |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 1 (* -1 x)) (pow x 5)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(/ (+ 1 (* x (- x 1))) (pow x 5)) |
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 28 337 to 2 107 computations (92.6% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 227 | 12 | 1 239 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 228 | 21 | 1 249 |
| Status | Accuracy | Program |
|---|---|---|
| 49.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) | |
| 20.9% | (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))))) | |
| ▶ | 10.8% | (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | 40.9% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| ▶ | 50.8% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
| 9.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 42.4% | (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) | |
| 50.6% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| ✓ | 51.6% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.8% | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.7% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 2.8% | (-.f64 #s(literal 1 binary64) x) | |
| 21.5% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) | |
| 22.7% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) | |
| 49.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) | |
| 40.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 11.0% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) |
| ▶ | 50.5% | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| 3.2% | (neg.f64 x) | |
| ▶ | 2.9% | #s(literal 1 binary64) |
Compiled 508 to 238 computations (53.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 192 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
| 10 694× | accelerator-lowering-fma.f32 |
| 10 694× | accelerator-lowering-fma.f64 |
| 3 244× | *-lowering-*.f32 |
| 3 244× | *-lowering-*.f64 |
| 1 704× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 149 |
| 1 | 53 | 139 |
| 2 | 139 | 139 |
| 3 | 438 | 131 |
| 4 | 1546 | 131 |
| 5 | 4529 | 131 |
| 0 | 8265 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
(+ -1 (/ (+ -1 x) (* x x))) |
-1 |
(/ (+ -1 x) (* x x)) |
(+ -1 x) |
x |
(* x x) |
1 |
(* (+ -1 x) (+ x (/ 1 x))) |
(+ -1 x) |
-1 |
x |
(+ x (/ 1 x)) |
(/ 1 x) |
1 |
(/ (- x (* x x)) (* (* x (* x x)) x)) |
(- x (* x x)) |
x |
(* x x) |
(* (* x (* x x)) x) |
(* x (* x x)) |
(* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) |
(+ 1 (/ 1 (* x x))) |
1 |
(/ 1 (* x x)) |
(* x x) |
x |
(/ (- x (* x x)) (* (* x (* x x)) x)) |
(- x (* x x)) |
(* (* x (* x x)) x) |
(* x (* x x)) |
| Outputs |
|---|
(/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(+ -1 (/ (+ -1 x) (* x x))) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(/ (+ -1 x) (* x x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(+ -1 x) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(* (+ -1 x) (+ x (/ 1 x))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+ -1 x) |
(+.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
x |
(+ x (/ 1 x)) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ (- x (* x x)) (* (* x (* x x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(- x (* x x)) |
(-.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (* x (* x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 (* x x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(/ (- x (* x x)) (* (* x (* x x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(- x (* x x)) |
(-.f64 x (*.f64 x x)) |
(* (* x (* x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 57.5% | (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 57.5% | (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.3% | (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 73.6% | (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 165 to 20 computations (87.9% saved)
ival-div: 8.0ms (36.9% of total)ival-mult: 7.0ms (32.3% of total)ival-add: 5.0ms (23.1% of total)ival-sub: 1.0ms (4.6% 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 (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+ -1 (/ (+ -1 x) (* x x))) (patch (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/ (+ -1 x) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+ -1 x) (patch (+.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (* (+ -1 x) (+ x (/ 1 x))) (patch (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (+ x (/ 1 x)) (patch (+.f64 x (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/ (- x (* x x)) (* (* x (* x x)) x)) (patch (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (- x (* x x)) (patch (-.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 (pow x 4)) (taylor 0 x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 4) (taylor 0 x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* (* x (* x x)) x) (patch (*.f64 (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (- x 1))) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) (taylor 0 x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (pow x 2)) (pow x 2)) (taylor 0 x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (+ 1 (/ 1 (* x x))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/ 1 (* x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
| 0.0ms | x | @ | 0 | (/ (- x (* x x)) (* (* x (* x x)) x)) |
| 0.0ms | x | @ | inf | (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
| 0.0ms | x | @ | -inf | (/ (- x (* x x)) (* (* x (* x x)) x)) |
| 1× | batch-egg-rewrite |
| 5 712× | accelerator-lowering-fma.f32 |
| 5 712× | accelerator-lowering-fma.f64 |
| 5 218× | /-lowering-/.f32 |
| 5 218× | /-lowering-/.f64 |
| 3 698× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 107 |
| 1 | 134 | 95 |
| 2 | 1380 | 91 |
| 0 | 8847 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) |
(+ -1 (/ (+ -1 x) (* x x))) |
(/ (+ -1 x) (* x x)) |
(+ -1 x) |
(* (+ -1 x) (+ x (/ 1 x))) |
(+ x (/ 1 x)) |
(/ 1 x) |
(/ (- x (* x x)) (* (* x (* x x)) x)) |
(- x (* x x)) |
(* x x) |
(* (* x (* x x)) x) |
(* (+ 1 (/ 1 (* x x))) (/ (- x (* x x)) (* (* x (* x x)) x))) |
(+ 1 (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* x (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 x (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x) |
(pow.f64 x #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 x (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) x) x) |
| 1× | egg-herbie |
| 11 970× | accelerator-lowering-fma.f32 |
| 11 970× | accelerator-lowering-fma.f64 |
| 2 696× | /-lowering-/.f32 |
| 2 696× | /-lowering-/.f64 |
| 2 346× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1076 |
| 1 | 207 | 1042 |
| 2 | 558 | 972 |
| 3 | 1764 | 934 |
| 4 | 5500 | 934 |
| 0 | 8284 | 917 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (pow x 4)) |
(/ (- x 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
-1 |
(- (/ 1 x) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(/ -1 (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- 1 (/ 1 x)) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(/ 1 x) |
(/ (+ 1 (pow x 2)) x) |
(/ (+ 1 (pow x 2)) x) |
(/ (+ 1 (pow x 2)) x) |
x |
(* x (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* -1 x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ 1 (pow x 5)) |
(/ (+ 1 (* -1 x)) (pow x 5)) |
(/ (+ 1 (* x (- x 1))) (pow x 5)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
1 |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
1 |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(+ 1 (/ 1 (pow x 2))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- x 1) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- x 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- x 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- x 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- x 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 x x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(-.f64 (*.f64 x x) x) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(fma.f64 x x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(-.f64 (*.f64 x x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(fma.f64 x x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (pow x 2)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (pow x 2)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (pow x 2)) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
x |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* x (+ 1 (* -1 x))) |
(-.f64 x (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 5)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/ (+ 1 (* -1 x)) (pow x 5)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/ (+ 1 (* x (- x 1))) (pow x 5)) |
(/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ (+ 1 (pow x 2)) (pow x 2)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ 1 (/ 1 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 46 879 to 3 501 computations (92.5% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 858 | 6 | 1 864 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 864 | 21 | 1 885 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 49.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
| ▶ | 51.4% | (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
| 20.9% | (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))))) | |
| ▶ | 12.5% | (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | 40.9% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| 49.3% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))) | |
| 9.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| 11.2% | (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x x)) x)) | |
| 42.4% | (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) | |
| ▶ | 50.6% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | 51.6% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.8% | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.7% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 2.8% | (-.f64 #s(literal 1 binary64) x) | |
| 49.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) | |
| 40.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| ✓ | 50.5% | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 3.2% | (neg.f64 x) |
| ✓ | 2.9% | #s(literal 1 binary64) |
Compiled 466 to 225 computations (51.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
| ✓ | cost-diff | 192 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
| 8 942× | accelerator-lowering-fma.f32 |
| 8 942× | accelerator-lowering-fma.f64 |
| 4 292× | *-lowering-*.f32 |
| 4 292× | *-lowering-*.f64 |
| 1 422× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 122 |
| 1 | 49 | 120 |
| 2 | 125 | 120 |
| 3 | 326 | 116 |
| 4 | 785 | 116 |
| 5 | 2616 | 116 |
| 6 | 4237 | 116 |
| 7 | 6565 | 116 |
| 8 | 7718 | 116 |
| 0 | 8232 | 111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) |
(/ (- -1 (/ (- 1 x) (* x x))) x) |
(- -1 (/ (- 1 x) (* x x))) |
-1 |
(/ (- 1 x) (* x x)) |
(- 1 x) |
1 |
x |
(* x x) |
(neg x) |
x |
(/ -1 (* x x)) |
-1 |
(* x x) |
x |
(/ (/ (- 1 x) (* x x)) x) |
(/ (- 1 x) (* x x)) |
(- 1 x) |
1 |
x |
(* x x) |
(/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) |
(- x (+ (* x x) 1)) |
x |
(+ (* x x) 1) |
1 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(/ (- -1 (/ (- 1 x) (* x x))) x) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(- -1 (/ (- 1 x) (* x x))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(/ (- 1 x) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* x x) |
(*.f64 x x) |
(neg x) |
(neg.f64 x) |
x |
(/ -1 (* x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (/ (- 1 x) (* x x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- 1 x) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* x x) |
(*.f64 x x) |
(/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(- x (+ (* x x) 1)) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
x |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (* x (* x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 61.4% | (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
| ✓ | accuracy | 73.6% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
| ✓ | accuracy | 73.6% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| 35.0ms | 256× | 0 | valid |
Compiled 129 to 19 computations (85.3% saved)
ival-div: 9.0ms (38.7% of total)ival-mult: 5.0ms (21.5% of total)ival-sub: 4.0ms (17.2% of total)ival-neg: 4.0ms (17.2% of total)ival-add: 1.0ms (4.3% 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 (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ()) |
#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 (pow x 4)) (taylor 0 x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 3)) (taylor 0 x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) (pow x 3)) (taylor 0 x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) (taylor 0 x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) (taylor 0 x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (taylor -inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (taylor -inf x) (#s(alt (/ (- -1 (/ (- 1 x) (* x x))) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) (pow x 2)) (taylor 0 x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) (taylor 0 x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) (taylor 0 x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (taylor -inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (taylor -inf x) (#s(alt (- -1 (/ (- 1 x) (* x x))) (patch (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/ (- 1 x) (* x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ -1 (* x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (* x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) (pow x 3)) (taylor 0 x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (/ (- 1 x) (* x x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 4)) (taylor 0 x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) (patch (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* -1 x))) 1) (taylor 0 x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* -1 x))) 1) (taylor 0 x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) (taylor -inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) (taylor -inf x) (#s(alt (- x (+ (* x x) 1)) (patch (-.f64 x (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+ (* x x) 1) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (* x (* x (* x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (* x (* x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) |
| 0.0ms | x | @ | inf | (/ -1 (* x x)) |
| 0.0ms | x | @ | -inf | (/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) |
| 0.0ms | x | @ | 0 | (/ -1 (* x x)) |
| 0.0ms | x | @ | inf | (/ (- -1 (/ (- 1 x) (* x x))) x) |
| 1× | batch-egg-rewrite |
| 5 278× | /-lowering-/.f32 |
| 5 278× | /-lowering-/.f64 |
| 4 546× | *-lowering-*.f32 |
| 4 546× | *-lowering-*.f64 |
| 4 504× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 93 |
| 1 | 127 | 88 |
| 2 | 1171 | 88 |
| 0 | 8416 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- -1 (/ (- 1 x) (* x x))) x) x) |
(/ (- -1 (/ (- 1 x) (* x x))) x) |
(- -1 (/ (- 1 x) (* x x))) |
(/ (- 1 x) (* x x)) |
(neg x) |
(/ -1 (* x x)) |
(* x x) |
(/ (/ (- 1 x) (* x x)) x) |
(- 1 x) |
(/ (- x (+ (* x x) 1)) (* x (* x (* x x)))) |
(- x (+ (* x x) 1)) |
(+ (* x x) 1) |
(* x (* x (* x x))) |
(* x (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
| 1× | egg-herbie |
| 13 236× | accelerator-lowering-fma.f32 |
| 13 236× | accelerator-lowering-fma.f64 |
| 3 510× | *-lowering-*.f32 |
| 3 510× | *-lowering-*.f64 |
| 1 832× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 957 |
| 1 | 135 | 918 |
| 2 | 336 | 872 |
| 3 | 967 | 872 |
| 4 | 2504 | 872 |
| 5 | 5396 | 872 |
| 6 | 7257 | 872 |
| 0 | 8082 | 839 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 (pow x 4)) |
(/ (- x 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ -1 (pow x 3)) |
(/ (- x 1) (pow x 3)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/ -1 (pow x 2)) |
(/ (- x 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
-1 |
(- (/ 1 x) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) 1) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ -1 (pow x 4)) |
(/ (- x 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- x 1) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 3)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) |
(/ (- x 1) (pow x 3)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- x 1) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x 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) |
(* -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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- x 1) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- (* x (+ 1 (* -1 x))) 1) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(- (* x (+ 1 (* -1 x))) 1) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f64 x (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)) |
(-.f64 x (fma.f64 x x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 27 157 to 2 972 computations (89.1% saved)
19 alts after pruning (9 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 170 | 2 | 1 172 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 174 | 19 | 1 193 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) | |
| 15.1% | (/.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 x (*.f64 x x))) | |
| 51.1% | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| 20.9% | (/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))))) | |
| ✓ | 12.5% | (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | 40.9% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| 49.3% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))) | |
| 9.5% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| 42.4% | (/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) | |
| ✓ | 50.6% | (/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | 51.6% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | 80.0% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.8% | (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 50.7% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| 2.8% | (-.f64 #s(literal 1 binary64) x) | |
| 40.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) | |
| ✓ | 50.5% | (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 3.2% | (neg.f64 x) |
| ✓ | 2.9% | #s(literal 1 binary64) |
Compiled 599 to 190 computations (68.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 9.0ms | x |
| 8.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 99.9% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) |
2 calls:
| 9.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
| 99.7% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(/.f64 (-.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
2 calls:
| 8.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 99.7% | 3 | x |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 98.8% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 35.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x |
| 97.9% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | x |
| 51.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(neg.f64 x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | x |
| 3.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 12 to 7 computations (41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 2.9% | 1 | x |
Compiled 12 to 7 computations (41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 65.76907955829131 |
| 0.0ms | -0.0020366101278990745 | -4.1327761786375374e-10 |
Compiled 13 to 10 computations (23.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 21.664430830701342 | 310737.915904525 |
| 19.0ms | -6.345662014246679e+20 | -49190.75311026674 |
| 18.0ms | 272× | 0 | valid |
| 1.0ms | 16× | 1 | valid |
Compiled 401 to 250 computations (37.7% saved)
ival-add: 8.0ms (57.3% of total)ival-div: 4.0ms (28.7% of total)ival-sub: 1.0ms (7.2% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 310737.915904525 | 1008283221789.9359 |
| 15.0ms | -6.345662014246679e+20 | -49190.75311026674 |
| 12.0ms | 288× | 0 | valid |
| 1.0ms | 16× | 1 | valid |
Compiled 355 to 238 computations (33% saved)
ival-div: 4.0ms (50.8% of total)ival-add: 2.0ms (25.4% of total)ival-sub: 1.0ms (12.7% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 65.76907955829131 |
| 0.0ms | -1434334.4590162262 | -0.0020366101278990745 |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 65.76907955829131 |
| 0.0ms | -1434334.4590162262 | -0.0020366101278990745 |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 65.76907955829131 |
| 0.0ms | -1434334.4590162262 | -0.0020366101278990745 |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 65.76907955829131 |
| 0.0ms | -1434334.4590162262 | -0.0020366101278990745 |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 118× | distribute-lft-neg-in_binary64 |
| 84× | neg-mul-1_binary64 |
| 76× | neg-sub0_binary64 |
| 62× | sub-neg_binary64 |
| 56× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 273 |
| 1 | 76 | 273 |
| 2 | 94 | 273 |
| 3 | 110 | 273 |
| 4 | 135 | 273 |
| 5 | 177 | 273 |
| 6 | 250 | 273 |
| 7 | 330 | 273 |
| 8 | 406 | 273 |
| 9 | 456 | 273 |
| 10 | 472 | 273 |
| 11 | 477 | 273 |
| 12 | 484 | 273 |
| 13 | 487 | 273 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1152921504606847/576460752303423488 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 13200 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 225000000 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1152921504606847/576460752303423488 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1152921504606847/576460752303423488 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 13200 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 13200 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x)))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 225000000 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(if (<=.f64 x #s(literal -122000000 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (if (<=.f64 x #s(literal 225000000 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1000000 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1000000 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1000000 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
#s(literal 1 binary64) |
| 11 638× | accelerator-lowering-fma.f32 |
| 11 638× | accelerator-lowering-fma.f64 |
| 11 170× | accelerator-lowering-fma.f32 |
| 11 170× | accelerator-lowering-fma.f64 |
| 5 712× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 93 |
| 1 | 127 | 88 |
| 2 | 1171 | 88 |
| 0 | 8416 | 85 |
| 0 | 53 | 305 |
| 1 | 150 | 286 |
| 2 | 351 | 274 |
| 3 | 1017 | 268 |
| 4 | 3170 | 263 |
| 5 | 5268 | 262 |
| 6 | 6646 | 262 |
| 7 | 7448 | 262 |
| 8 | 7950 | 262 |
| 0 | 8009 | 260 |
| 0 | 58 | 709 |
| 1 | 142 | 682 |
| 2 | 378 | 622 |
| 3 | 1134 | 620 |
| 4 | 3556 | 612 |
| 5 | 6022 | 612 |
| 6 | 7648 | 612 |
| 0 | 8018 | 607 |
| 0 | 18 | 107 |
| 1 | 134 | 95 |
| 2 | 1380 | 91 |
| 0 | 8847 | 89 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 421 to 132 computations (68.6% saved)
Compiled 644 to 132 computations (79.5% saved)
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