
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 610.0ms | 1 498× | 2 | valid |
| 355.0ms | 2 397× | 1 | valid |
| 223.0ms | 4 361× | 0 | valid |
ival-exp: 698.0ms (70.9% of total)ival-div: 92.0ms (9.3% of total)ival-sub: 84.0ms (8.5% of total)adjust: 61.0ms (6.2% of total)ival-neg: 35.0ms (3.6% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 32 | 16 |
| 2 | 76 | 16 |
| 3 | 173 | 16 |
| 4 | 346 | 16 |
| 5 | 508 | 16 |
| 6 | 531 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 23 | 8 |
| 2 | 40 | 8 |
| 3 | 67 | 8 |
| 4 | 109 | 8 |
| 5 | 168 | 8 |
| 6 | 227 | 8 |
| 7 | 349 | 8 |
| 8 | 410 | 8 |
| 9 | 419 | 8 |
| 0 | 419 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 140 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 0 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 0 | 0 | 116 |
| number | freq |
|---|---|
| 0 | 116 |
| 1 | 140 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 122× | 2 | valid |
| 25.0ms | 150× | 1 | valid |
| 13.0ms | 240× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 46.0ms (70.8% of total)ival-div: 6.0ms (9.2% of total)adjust: 4.0ms (6.2% of total)ival-sub: 4.0ms (6.2% of total)ival-neg: 4.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.4% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 23 | 23 |
| 2 | 40 | 23 |
| 3 | 67 | 23 |
| 4 | 109 | 23 |
| 5 | 168 | 23 |
| 6 | 227 | 23 |
| 7 | 349 | 23 |
| 8 | 410 | 23 |
| 9 | 419 | 23 |
| 0 | 419 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 49.4% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 31.0ms | 61× | 2 | valid |
| 12.0ms | 75× | 1 | valid |
| 6.0ms | 120× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 31.0ms (77.2% of total)ival-div: 3.0ms (7.5% of total)adjust: 2.0ms (5% of total)ival-sub: 2.0ms (5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 1× | batch-egg-rewrite |
| 1 606× | lower-/.f32 |
| 1 604× | lower-/.f64 |
| 1 600× | lower-*.f64 |
| 1 600× | lower-*.f32 |
| 1 038× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
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(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 2 418× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -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 |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (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 x) |
(neg.f64 x) |
Compiled 6 323 to 935 computations (85.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 6 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 6 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.9% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ▶ | 87.3% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 95.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) | |
| ▶ | 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ▶ | 100.0% | (sinh.f64 x) |
Compiled 146 to 86 computations (41.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| 13 110× | lower-fma.f32 |
| 13 092× | lower-fma.f64 |
| 5 676× | lower-*.f32 |
| 5 660× | lower-*.f64 |
| 1 650× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 204 |
| 0 | 56 | 202 |
| 1 | 148 | 202 |
| 2 | 397 | 198 |
| 3 | 1063 | 198 |
| 4 | 1990 | 198 |
| 5 | 3867 | 198 |
| 6 | 4008 | 198 |
| 7 | 5023 | 198 |
| 8 | 6489 | 198 |
| 0 | 8354 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(sinh.f64 x) |
x |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| 84.0ms | 256× | 0 | valid |
Compiled 233 to 39 computations (83.3% saved)
ival-mult: 36.0ms (53.1% of total)const: 19.0ms (28% of total)ival-add: 9.0ms (13.3% of total)ival-div: 2.0ms (2.9% of total)ival-sinh: 1.0ms (1.5% 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 (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/120 binary64)) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (sinh x) |
| 0.0ms | x | @ | inf | (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) |
| 1× | batch-egg-rewrite |
| 5 680× | lower-fma.f32 |
| 5 662× | lower-fma.f64 |
| 4 276× | lower-*.f32 |
| 4 260× | lower-*.f64 |
| 3 802× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 176 |
| 0 | 56 | 176 |
| 1 | 272 | 173 |
| 2 | 2055 | 173 |
| 0 | 8143 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
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(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) |
| 1× | egg-herbie |
| 14 384× | lower-fma.f64 |
| 14 384× | lower-fma.f32 |
| 4 136× | lower-*.f64 |
| 4 136× | lower-*.f32 |
| 3 030× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1924 |
| 1 | 519 | 1882 |
| 2 | 1410 | 1855 |
| 3 | 3908 | 1850 |
| 4 | 7854 | 1850 |
| 0 | 8159 | 1729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 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) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x 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) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
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(* 1/6 x) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
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(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/120 (pow x 3)) |
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1/6 |
#s(literal 1/6 binary64) |
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(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
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(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
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(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
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(* 1/5040 (pow x 6)) |
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#s(literal 1/6 binary64) |
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(* 1/5040 (pow x 4)) |
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(* 1/5040 (pow x 4)) |
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x |
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(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 2 x) |
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(* x (+ 2 (* 1/3 (pow x 2)))) |
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(* 1/2520 (pow x 7)) |
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(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
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(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
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(* 1/120 x) |
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(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2520 binary64))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2520 binary64))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
Compiled 30 385 to 2 497 computations (91.8% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 862 | 20 | 882 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 865 | 23 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| 95.2% | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 61.4% | (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) | |
| 92.9% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) | |
| 87.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| 92.4% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) | |
| ▶ | 92.4% | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
| 95.2% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) | |
| 95.2% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
| 95.2% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 92.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 87.3% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 36.0% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 41.2% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| ▶ | 56.9% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 100.0% | (sinh.f64 x) |
Compiled 752 to 418 computations (44.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
| 9 806× | lower-fma.f32 |
| 9 796× | lower-fma.f64 |
| 2 662× | lower-*.f32 |
| 2 646× | lower-*.f64 |
| 1 264× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 192 |
| 0 | 46 | 180 |
| 1 | 114 | 169 |
| 2 | 392 | 164 |
| 3 | 896 | 160 |
| 4 | 1425 | 160 |
| 5 | 1819 | 160 |
| 6 | 1946 | 160 |
| 7 | 2302 | 160 |
| 8 | 3115 | 160 |
| 9 | 3998 | 160 |
| 10 | 4687 | 160 |
| 11 | 6264 | 160 |
| 12 | 6957 | 160 |
| 13 | 7923 | 160 |
| 14 | 7992 | 160 |
| 0 | 8002 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
x |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(sinh.f64 x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
x |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(*.f64 x x) |
x |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x) |
x |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
| 122.0ms | 114× | 2 | exit |
| 61.0ms | 141× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 212 to 30 computations (85.8% saved)
ival-div: 46.0ms (34.8% of total)const: 42.0ms (31.8% of total)ival-mult: 25.0ms (18.9% of total)adjust: 10.0ms (7.6% of total)ival-add: 8.0ms (6% of total)ival-sinh: 2.0ms (1.5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ()) |
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (patch (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/120 (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/120 (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/120 (pow x 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) (patch (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/5040 binary64)) (patch (*.f64 x #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 120 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 120 (* -20/7 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 120 (* (pow x 2) (- (* 10/147 (pow x 2)) 20/7))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 120 (* (pow x 2) (- (* (pow x 2) (+ 10/147 (* -5/3087 (pow x 2)))) 20/7))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 5040 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 5040 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ 1 (+ (* x (* x 1/5040)) 1/120)) |
| 1.0ms | x | @ | inf | (/ 1 (sinh x)) |
| 1.0ms | x | @ | -inf | (/ 1 (sinh x)) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (* (* x x) (+ (* x (* x 1/5040)) 1/120))) 1)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* 1/120 (* x (* x x)))) x) |
| 1× | batch-egg-rewrite |
| 10 272× | lower-fma.f32 |
| 10 262× | lower-fma.f64 |
| 4 748× | lower-*.f32 |
| 4 732× | lower-*.f64 |
| 3 488× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 149 |
| 0 | 46 | 137 |
| 1 | 201 | 123 |
| 2 | 1464 | 121 |
| 0 | 8388 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
(*.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(*.f64 x x) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(pow.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
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(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 10 492× | lower-fma.f64 |
| 10 492× | lower-fma.f32 |
| 3 598× | lower-*.f64 |
| 3 598× | lower-*.f32 |
| 2 416× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1626 |
| 1 | 427 | 1608 |
| 2 | 1106 | 1583 |
| 3 | 2997 | 1580 |
| 4 | 7120 | 1580 |
| 0 | 8106 | 1486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(/ 1 x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(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) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
1 |
(+ 1 (* 1/120 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
(* 1/5040 x) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
120 |
(+ 120 (* -20/7 (pow x 2))) |
(+ 120 (* (pow x 2) (- (* 10/147 (pow x 2)) 20/7))) |
(+ 120 (* (pow x 2) (- (* (pow x 2) (+ 10/147 (* -5/3087 (pow x 2)))) 20/7))) |
(/ 5040 (pow x 2)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) |
(/ 5040 (pow x 2)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
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(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
120 |
#s(literal 120 binary64) |
(+ 120 (* -20/7 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -20/7 binary64)) #s(literal 120 binary64)) |
(+ 120 (* (pow x 2) (- (* 10/147 (pow x 2)) 20/7))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 10/147 binary64) #s(literal -20/7 binary64)) #s(literal 120 binary64)) |
(+ 120 (* (pow x 2) (- (* (pow x 2) (+ 10/147 (* -5/3087 (pow x 2)))) 20/7))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -5/3087 binary64)) #s(literal 10/147 binary64))) #s(literal -20/7 binary64))) #s(literal 120 binary64)) |
(/ 5040 (pow x 2)) |
(/.f64 #s(literal 5040 binary64) (*.f64 x x)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (/.f64 #s(literal 8890560 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 8890560 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -373403520 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
(/ 5040 (pow x 2)) |
(/.f64 #s(literal 5040 binary64) (*.f64 x x)) |
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (/.f64 #s(literal 8890560 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ 5040 (/ 8890560 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 373403520 (/ 1 (pow x 6))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 8890560 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -373403520 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x)) |
Compiled 35 568 to 3 069 computations (91.4% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 138 | 16 | 1 154 |
| Fresh | 6 | 10 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 147 | 30 | 1 177 |
| Status | Accuracy | Program |
|---|---|---|
| 94.6% | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) | |
| 92.4% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) | |
| 92.9% | (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) | |
| ▶ | 92.4% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
| 87.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| ✓ | 92.4% | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
| 33.2% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) | |
| 95.2% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 46.7% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 95.2% | (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| 71.9% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x #s(literal 1 binary64))) | |
| ▶ | 95.2% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 79.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal -20/7 binary64)) #s(literal 120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 92.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 70.8% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
| ✓ | 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
| ▶ | 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
| 92.4% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) | |
| 87.3% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 43.4% | (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 36.0% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 41.2% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| 43.4% | (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ▶ | 56.9% | x |
Compiled 1 047 to 558 computations (46.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 3 156× | lower-fma.f32 |
| 3 140× | lower-fma.f64 |
| 2 064× | lower-*.f32 |
| 2 034× | lower-*.f64 |
| 1 894× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 286 |
| 0 | 63 | 286 |
| 1 | 152 | 259 |
| 2 | 364 | 229 |
| 3 | 893 | 222 |
| 4 | 1561 | 220 |
| 5 | 2907 | 220 |
| 6 | 4926 | 220 |
| 7 | 6552 | 220 |
| 8 | 6644 | 220 |
| 9 | 6672 | 220 |
| 10 | 6696 | 220 |
| 11 | 6712 | 220 |
| 12 | 6773 | 220 |
| 13 | 6779 | 220 |
| 14 | 6779 | 220 |
| 15 | 6779 | 220 |
| 16 | 6779 | 220 |
| 17 | 7383 | 220 |
| 18 | 7738 | 220 |
| 19 | 7742 | 220 |
| 0 | 7742 | 208 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
x |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) |
x |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) x) |
x |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 99.0% | (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
| ✓ | accuracy | 77.1% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| 81.0ms | 256× | 0 | valid |
Compiled 310 to 41 computations (86.8% saved)
ival-mult: 31.0ms (50.1% of total)const: 18.0ms (29.1% of total)ival-add: 12.0ms (19.4% of total)ival-div: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) (patch (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/120 binary64)) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 6)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt -1/120 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (/ (* (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (* x x)) (+ (* x (* x 1/5040)) -1/120))) 1)) |
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/5040))) 1)) |
| 1.0ms | x | @ | 0 | (* x (+ (* (* x x) (/ (* (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (* x x)) (+ (* x (* x 1/5040)) -1/120))) 1)) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/5040))) 1)) |
| 0.0ms | x | @ | inf | (/ (* (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (* x x)) (+ (* x (* x 1/5040)) -1/120)) |
| 1× | batch-egg-rewrite |
| 8 290× | lower-fma.f32 |
| 8 274× | lower-fma.f64 |
| 4 868× | lower-*.f32 |
| 4 838× | lower-*.f64 |
| 4 034× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 247 |
| 0 | 63 | 231 |
| 1 | 256 | 170 |
| 2 | 1937 | 163 |
| 0 | 8367 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
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(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal -1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal 1/1728000 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))))) (neg.f64 (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16390160963076096000000 binary64))) #s(literal -1/2985984000000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16390160963076096000000 binary64))) #s(literal -1/2985984000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/207360000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))) |
| 1× | egg-herbie |
| 13 896× | lower-fma.f64 |
| 13 896× | lower-fma.f32 |
| 3 650× | lower-*.f64 |
| 3 650× | lower-*.f32 |
| 1 950× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1774 |
| 1 | 352 | 1768 |
| 2 | 882 | 1708 |
| 3 | 2273 | 1704 |
| 4 | 4731 | 1704 |
| 0 | 8245 | 1581 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 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 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) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
x |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
1 |
(+ 1 (* 1/5040 (pow x 6))) |
(+ 1 (* 1/5040 (pow x 6))) |
(+ 1 (* 1/5040 (pow x 6))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
1 |
(+ 1 (* 1/120 (pow x 4))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* -1/14400 (pow x 2)) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(* 1/25401600 (pow x 6)) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(* 1/25401600 (pow x 6)) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
-1/120 |
(- (* 1/5040 (pow x 2)) 1/120) |
(- (* 1/5040 (pow x 2)) 1/120) |
(- (* 1/5040 (pow x 2)) 1/120) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x) x)) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 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 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) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
x |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* x (+ 1 (* 1/5040 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/5040 (pow x 6))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(+ 1 (* 1/5040 (pow x 6))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(+ 1 (* 1/5040 (pow x 6))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (/ 1 (pow x 6)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
x |
(* x (+ 1 (* 1/120 (pow x 4)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
(* x (+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
(* (pow x 7) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (/ 1 (pow x 4))) (pow x 2))) 1/5040))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/120 (pow x 4))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 4) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/5040 (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* -1/14400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/14400 binary64))) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) |
(* (pow x 2) (- (* 1/25401600 (pow x 4)) 1/14400)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) |
(* 1/25401600 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/25401600 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
-1/120 |
#s(literal -1/120 binary64) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
Compiled 55 461 to 3 219 computations (94.2% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 236 | 8 | 1 244 |
| Fresh | 5 | 16 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 245 | 29 | 1 274 |
| Status | Accuracy | Program |
|---|---|---|
| 92.9% | (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 92.4% | (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) | |
| 92.4% | (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) | |
| 94.6% | (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) | |
| ✓ | 92.4% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
| 87.3% | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) | |
| ✓ | 92.4% | (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
| 33.2% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) | |
| 95.2% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 43.4% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) | |
| 41.2% | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) | |
| 46.7% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 95.2% | (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) | |
| 71.9% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64))) | |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 71.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 79.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal -20/7 binary64)) #s(literal 120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 95.2% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| 92.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 42.7% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) | |
| 87.3% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) | |
| 43.4% | (*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 36.0% | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| 41.2% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 56.9% | x |
Compiled 1 369 to 464 computations (66.1% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal -20/7 binary64)) #s(literal 120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) |
(sinh.f64 x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 22.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 13.0ms | x |
| 10.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (fma.f64 x (*.f64 x #s(literal -20/7 binary64)) #s(literal 120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) x) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) x)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
3 calls:
| 27.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 12.0ms | x |
| 9.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | x |
| 95.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 95.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 32.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 8.0ms | x |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 1 | x |
| 95.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 95.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
3 calls:
| 36.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 8.0ms | x |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
3 calls:
| 34.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 94.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/5040 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
3 calls:
| 9.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | x |
| 95.1% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 95.1% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
3 calls:
| 42.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 92.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 92.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) x) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) x x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | x |
| 92.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.4% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
3 calls:
| 33.0ms | x |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 2 | x |
| 92.8% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.8% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 1 | x |
| 87.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 87.3% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| Outputs |
|---|
x |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 2 | x |
| 86.9% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 86.9% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 1 | x |
| 56.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 56.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.11478380636718832 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.11478380636718832 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.11478380636718832 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 62× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 200 |
| 1 | 94 | 200 |
| 2 | 99 | 200 |
| 3 | 102 | 200 |
| 4 | 103 | 200 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| Outputs |
|---|
(sinh.f64 x) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 14 384× | lower-fma.f64 |
| 14 384× | lower-fma.f32 |
| 10 492× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 0 | 149 | 1924 |
| 1 | 519 | 1882 |
| 2 | 1410 | 1855 |
| 3 | 3908 | 1850 |
| 4 | 7854 | 1850 |
| 0 | 8159 | 1729 |
| 0 | 23 | 149 |
| 0 | 46 | 137 |
| 1 | 201 | 123 |
| 2 | 1464 | 121 |
| 0 | 8388 | 117 |
| 0 | 149 | 1626 |
| 1 | 427 | 1608 |
| 2 | 1106 | 1583 |
| 3 | 2997 | 1580 |
| 4 | 7120 | 1580 |
| 0 | 8106 | 1486 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 546 to 271 computations (50.4% saved)
(negabs x)
Compiled 426 to 132 computations (69% saved)
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