
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75.9% | 68.7% | 21.9% | 0.1% | 0% | 9.4% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 86% | 71.8% | 11.7% | 0.1% | 0% | 16.4% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.4% | 73.4% | 6% | 0.1% | 0% | 20.5% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 12 to 7 computations (41.7% saved)
| 571.0ms | 8 256× | 0 | valid |
| 12.0ms | 290× | 0 | invalid |
ival-mult: 86.0ms (49.6% of total)ival-expm1: 58.0ms (33.5% of total)ival->: 20.0ms (11.5% of total)exact: 7.0ms (4% of total)ival-assert: 4.0ms (2.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 134 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) | cancellation | 134 | 0 |
exp.f64 | (exp.f64 (*.f64 a x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 0 |
| - | 1 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 0 |
| - | 1 | 0 | 121 |
| number | freq |
|---|---|
| 0 | 121 |
| 1 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-mult: 7.0ms (49.1% of total)ival-exp: 4.0ms (28.1% of total)ival-expm1: 3.0ms (21.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 42× | sub-neg |
| 40× | exp-sum |
| 24× | exp-prod |
| 24× | +-commutative |
| 18× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 42 | 36 |
| 2 | 73 | 34 |
| 3 | 108 | 34 |
| 4 | 141 | 34 |
| 5 | 165 | 34 |
| 6 | 204 | 34 |
| 7 | 226 | 34 |
| 8 | 240 | 34 |
| 9 | 251 | 34 |
| 10 | 252 | 34 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 17 | 6 |
| 2 | 20 | 6 |
| 0 | 20 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(sort a x)
Compiled 8 to 6 computations (25% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.7% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | (exp.f64 (*.f64 a x)) | |
| cost-diff | 192 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 6× | lower-exp.f32 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
| 4× | lower-+.f64 |
| 4× | lower-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 20 | 16 |
| 0 | 20 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(exp.f64 (*.f64 a x)) |
(exp.f64 (*.f64 x a)) |
(*.f64 a x) |
(*.f64 x a) |
a |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a x) | |
| accuracy | 0.025780909539793468 | (exp.f64 (*.f64 a x)) | |
| accuracy | 30.248140533555972 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-exp: 13.0ms (73.8% of total)ival-mult: 3.0ms (17% of total)ival-expm1: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ()) |
#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf a) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.f64 a x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1× | egg-herbie |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 3 428× | associate-*r* |
| 2 992× | lower-*.f64 |
| 2 992× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 432 |
| 1 | 195 | 432 |
| 2 | 526 | 424 |
| 3 | 1045 | 424 |
| 4 | 1672 | 424 |
| 5 | 1873 | 424 |
| 6 | 1900 | 424 |
| 7 | 1920 | 424 |
| 8 | 1934 | 424 |
| 9 | 1937 | 424 |
| 10 | 1937 | 424 |
| 11 | 2619 | 420 |
| 12 | 3094 | 420 |
| 13 | 4061 | 420 |
| 14 | 4062 | 420 |
| 15 | 4062 | 420 |
| 16 | 4190 | 420 |
| 17 | 4190 | 420 |
| 18 | 6071 | 416 |
| 19 | 6279 | 416 |
| 20 | 6321 | 416 |
| 21 | 6335 | 416 |
| 22 | 6335 | 416 |
| 23 | 6511 | 416 |
| 24 | 6849 | 416 |
| 25 | 6849 | 416 |
| 26 | 7408 | 416 |
| 0 | 7408 | 360 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
| Outputs |
|---|
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
| 806× | lower-fma.f64 |
| 806× | lower-fma.f32 |
| 650× | lower-*.f32 |
| 648× | lower-*.f64 |
| 594× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (-.f64 (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))) (fma.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 x a))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (expm1.f64 (*.f64 x a))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (*.f64 (expm1.f64 (*.f64 x a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (expm1.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) (+.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (+.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)) #s(literal 3 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a (+.f64 x x))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a)))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (-.f64 (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x)))) (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))) (fma.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 x (+.f64 a a) (*.f64 a (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64))) (fma.f64 (exp.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 x a)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (exp.f64 (*.f64 x a)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3/2 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 (exp.f64 (*.f64 x a)) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 x a)) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 x a)) (/.f64 (exp.f64 (*.f64 x a)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 x a))) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 x a))) #s(literal 1 binary64))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))) |
(*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 a) x) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(exp.f64 (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a (log.f64 (exp.f64 x))) |
(*.f64 a x) |
(fma.f64 x a #s(literal 0 binary64)) |
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 a x #s(literal 0 binary64)) |
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 x a)) |
(+.f64 (*.f64 x a) #s(literal 0 binary64)) |
(log.f64 (exp.f64 (*.f64 x a))) |
Compiled 3 258 to 323 computations (90.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 9 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 175 | 9 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 22.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.9% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 22.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 68.6% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) | |
| 69.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) | |
| 62.3% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) | |
| 68.8% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 236 to 136 computations (42.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x a) | |
| cost-diff | 0 | (expm1.f64 (*.f64 x a)) |
| 1 908× | lower-fma.f32 |
| 1 896× | lower-fma.f64 |
| 1 014× | lower-*.f32 |
| 1 004× | lower-*.f64 |
| 824× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 212 |
| 0 | 49 | 212 |
| 1 | 87 | 212 |
| 2 | 146 | 212 |
| 3 | 310 | 212 |
| 4 | 700 | 212 |
| 5 | 1433 | 212 |
| 6 | 1669 | 212 |
| 7 | 1739 | 212 |
| 8 | 1811 | 212 |
| 9 | 1951 | 212 |
| 10 | 2061 | 212 |
| 11 | 2061 | 212 |
| 12 | 2061 | 212 |
| 13 | 2212 | 212 |
| 0 | 2212 | 212 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
a |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x a) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
(expm1.f64 (*.f64 a x)) |
(*.f64 x a) |
(*.f64 a x) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
a |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x a) |
(*.f64 a x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.3763301894568407 | (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| accuracy | 19.905216979194186 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 2.387578695380082 | (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) | |
| accuracy | 6.515277496950677 | (*.f64 (*.f64 a a) x) | |
| accuracy | 19.92993809646303 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 x a #s(literal 1 binary64)) | |
| accuracy | 20.100486700886425 | #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 20.38735403770335 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x a) | |
| accuracy | 0.00390625 | (expm1.f64 (*.f64 x a)) |
| 48.0ms | 256× | 0 | valid |
Compiled 155 to 27 computations (82.6% saved)
ival-mult: 18.0ms (55.3% of total)ival-add: 6.0ms (18.4% of total)const: 3.0ms (9.2% of total)ival-expm1: 3.0ms (9.2% of total)ival-exp: 2.0ms (6.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (expm1.f64 (*.f64 x a)) (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* a x) (taylor 0 a) (#s(alt (expm1.f64 (*.f64 x a)) (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (expm1.f64 (*.f64 x a)) (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (expm1.f64 (*.f64 x a)) (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (expm1.f64 (*.f64 x a)) (patch (expm1.f64 (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) #s(literal 1 binary64)) (patch #s(approx (exp (* a x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 a) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x a #s(literal 1 binary64)) (patch (fma.f64 x a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x)) |
| 2.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x)) |
| 2.0ms | x | @ | inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x)) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x)) |
| 2.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (+ (* (* (* a a) x) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (* a a) x) (* 1/6 x)) |
| 1× | egg-herbie |
| 15 362× | lower-fma.f64 |
| 15 362× | lower-fma.f32 |
| 4 610× | lower-*.f64 |
| 4 610× | lower-*.f32 |
| 2 262× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 3108 |
| 1 | 707 | 3103 |
| 2 | 2342 | 3003 |
| 3 | 6172 | 2990 |
| 0 | 8489 | 2591 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* 1/2 (* (pow a 2) x)) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* 1/2 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
| Outputs |
|---|
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a x) a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
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#s(literal 1 binary64) |
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
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(fma.f64 x a #s(literal 1 binary64)) |
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(fma.f64 x a #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(+ a (* 1/2 (* (pow a 2) x))) |
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(+ a (* 1/2 (* (pow a 2) x))) |
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(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
(* (pow a 2) x) |
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(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
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(* 1/2 (* (pow a 2) x)) |
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(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) 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) |
| 5 054× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 4 592× | lower-fma.f32 |
| 4 580× | lower-fma.f64 |
| 4 090× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 177 |
| 0 | 49 | 177 |
| 1 | 209 | 177 |
| 2 | 1532 | 177 |
| 0 | 8086 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (*.f64 a a) x) |
(*.f64 #s(literal 1/6 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(*.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (*.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 a a))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (+.f64 a a))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 (fma.f64 a x (*.f64 a x)) (fma.f64 a x (*.f64 a x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 a x (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (fma.f64 a x (*.f64 a x)) (fma.f64 a x (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 a a))))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 a x (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (fma.f64 a x (*.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (+.f64 a a)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))) (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)) (exp.f64 (*.f64 a x))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(*.f64 x (*.f64 a #s(literal 1 binary64))) |
(*.f64 x a) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(+.f64 (log.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 x (/.f64 a #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))))) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(log.f64 (exp.f64 (*.f64 a x))) |
(*.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 a x) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 x (*.f64 a a)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
Compiled 25 528 to 1 559 computations (93.9% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 824 | 16 | 840 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 826 | 23 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| 21.9% | (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| 21.3% | (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| 21.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) | |
| ▶ | 21.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
| ✓ | 22.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 21.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 22.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 22.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 21.9% | (-.f64 #s(approx (exp (* a x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 (*.f64 a a) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 22.0% | (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| 22.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| ▶ | 22.5% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
| 3.7% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) | |
| ✓ | 20.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 21.9% | (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 65.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| 68.2% | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) | |
| ▶ | 68.8% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| 68.6% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) | |
| ▶ | 69.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
| 62.3% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
Compiled 932 to 411 computations (55.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 1152 | (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 2048 | (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x a) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
| 19 912× | lower-fma.f32 |
| 19 896× | lower-fma.f64 |
| 3 214× | lower-*.f32 |
| 3 196× | lower-*.f64 |
| 3 182× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 354 |
| 0 | 69 | 364 |
| 1 | 121 | 352 |
| 2 | 220 | 333 |
| 3 | 483 | 333 |
| 4 | 1130 | 279 |
| 5 | 2195 | 279 |
| 6 | 4836 | 279 |
| 0 | 8927 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x a) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
a |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
a |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 a x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(fma.f64 a x #s(literal 1 binary64)) |
a |
x |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x a) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(fma.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 (*.f64 x a) a) |
(*.f64 a x) |
(*.f64 x a) |
a |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 x a) a) x #s(literal -1 binary64)) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 x a) a) |
(*.f64 a a) |
a |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x a #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 a x #s(literal -1 binary64)) |
(fma.f64 x a #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 a x #s(literal 1 binary64)) |
(fma.f64 x a #s(literal 1 binary64)) |
a |
x |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.6675372476875285 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 20.100486700886425 | #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) | |
| accuracy | 30.266491903699464 | (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) | |
| accuracy | 6.515277496950677 | (*.f64 (*.f64 a a) x) | |
| accuracy | 9.684124657927539 | (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) | |
| accuracy | 20.100486700886425 | #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (*.f64 a x) a) | |
| accuracy | 2.387578695380082 | (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) | |
| accuracy | 19.92993809646303 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x a) | |
| accuracy | 19.953584652153236 | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.3763301894568407 | (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| accuracy | 19.5352879464939 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
| 63.0ms | 85× | 2 | valid |
| 56.0ms | 82× | 1 | valid |
| 26.0ms | 88× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 248 to 38 computations (84.7% saved)
ival-mult: 25.0ms (28.4% of total)adjust: 17.0ms (19.3% of total)ival-exp: 17.0ms (19.3% of total)ival-add: 15.0ms (17% of total)ival-div: 6.0ms (6.8% of total)const: 4.0ms (4.5% of total)ival-expm1: 4.0ms (4.5% 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 #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) (patch #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a x) a) (patch (*.f64 (*.f64 a x) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt a (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) (patch (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (patch (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* a x))) (taylor -inf x) (#s(alt (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf x) (#s(alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* a x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a x) a) (patch (*.f64 (*.f64 a x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a x) a) (patch (*.f64 (*.f64 a x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a x) a) (patch (*.f64 (*.f64 a x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a x) a) (patch (*.f64 (*.f64 a x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 a a) x) (patch (*.f64 (*.f64 a a) x) #<representation binary64>) () ())) ()) |
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow (exp (* a x)) 2) 1) (taylor -inf x) (#s(alt (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (patch (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (* (+ (* (* (* a a) x) x) -1) (/ 1 (+ (* a x) -1))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (* a a) x) x) -1) (/ 1 (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1))) (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (+ (exp (* a x)) 1) (exp (* a x)) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (* (* a a) x) (+ (* (exp (* a x)) (exp (* a x))) -1)) |
| 5.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (* (+ (* (* (* a a) x) x) -1) (/ 1 (+ (* a x) -1))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (* a a) x) x) -1) (/ 1 (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1))) (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (+ (exp (* a x)) 1) (exp (* a x)) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (* (* a a) x) (+ (* (exp (* a x)) (exp (* a x))) -1)) |
| 4.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (* (+ (* (* (* a a) x) x) -1) (/ 1 (+ (* a x) -1))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (* a a) x) x) -1) (/ 1 (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1))) (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (+ (exp (* a x)) 1) (exp (* a x)) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (* (* a a) x) (+ (* (exp (* a x)) (exp (* a x))) -1)) |
| 4.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (* (+ (* (* (* a a) x) x) -1) (/ 1 (+ (* a x) -1))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (* a a) x) x) -1) (/ 1 (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1))) (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (+ (exp (* a x)) 1) (exp (* a x)) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (* (* a a) x) (+ (* (exp (* a x)) (exp (* a x))) -1)) |
| 3.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (* (+ (* (* (* a a) x) x) -1) (/ 1 (+ (* a x) -1))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (* a a) x) x) -1) (/ 1 (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1))) (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (+ (exp (* a x)) 1) (exp (* a x)) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (* (* a a) x) (+ (* (exp (* a x)) (exp (* a x))) -1)) |
| 1× | egg-herbie |
| 19 548× | lower-fma.f64 |
| 19 548× | lower-fma.f32 |
| 5 410× | lower-*.f64 |
| 5 410× | lower-*.f32 |
| 5 352× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 5114 |
| 1 | 1349 | 4934 |
| 2 | 4253 | 4746 |
| 0 | 8261 | 4204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* 1/2 a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* 1/2 (* a x)))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
-1 |
(- (* (pow a 2) (pow x 2)) 1) |
(- (* (pow a 2) (pow x 2)) 1) |
(- (* (pow a 2) (pow x 2)) 1) |
(* a x) |
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) |
(/ 1 (* a x)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* a (- (* a (- (* 1/4 x) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2)))))) 1/2)) (/ 1 x)) a) |
(/ (+ (* a (- (* a (- (+ (* 1/4 x) (* a (- (* 1/12 (pow x 2)) (+ (* -1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) x)) (+ (* 1/2 (/ (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow x 2))) (* x (- (* 1/4 x) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2))))))))))) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2)))))) 1/2)) (/ 1 x)) a) |
2 |
(+ 2 (* a x)) |
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 2 (* a x)) |
(* a (+ (* 2 x) (* 2 (* a (pow x 2))))) |
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))) |
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* 1/2 a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* 1/2 (* (pow a 2) x))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
-1 |
(- (* (pow a 2) (pow x 2)) 1) |
(- (* (pow a 2) (pow x 2)) 1) |
(- (* (pow a 2) (pow x 2)) 1) |
(* a x) |
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (- (+ (* x (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (- (+ (* x (- (+ (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (* x (- (* 1/2 (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))) |
(/ 1 (* a x)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* x (- (* x (- (* 1/4 a) (+ (* -1/2 a) (* 1/2 (/ (+ (* 1/3 (pow a 3)) (pow a 3)) (pow a 2)))))) 1/2)) (/ 1 a)) x) |
(/ (+ (* x (- (* x (- (+ (* 1/4 a) (* x (- (* 1/12 (pow a 2)) (+ (* -1/4 (/ (+ (* 1/3 (pow a 3)) (pow a 3)) a)) (+ (* 1/2 (/ (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4)))) (pow a 2))) (* a (- (* 1/4 a) (+ (* -1/2 a) (* 1/2 (/ (+ (* 1/3 (pow a 3)) (pow a 3)) (pow a 2))))))))))) (+ (* -1/2 a) (* 1/2 (/ (+ (* 1/3 (pow a 3)) (pow a 3)) (pow a 2)))))) 1/2)) (/ 1 a)) x) |
2 |
(+ 2 (* a x)) |
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* 2 (* a x)) |
(* x (+ (* 2 a) (* 2 (* (pow a 2) x)))) |
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3))))))) |
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (+ (* x (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (* 1/3 (pow a 4))))) (pow a 3)))))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* 1/6 (* (pow a 2) x)) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* 1/2 (* (pow a 2) x)) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* 1/6 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* 1/2 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(+ 1 (exp (* a x))) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(* (pow a 2) x) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
(- (pow (exp (* a x)) 2) 1) |
| Outputs |
|---|
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))) a x) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))) a x) a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal 1/24 binary64) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (- (+ (* a (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 5/6 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) x))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (- (+ (* a (- (+ (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (* a (- (* 1/2 (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 1/2 (+ (* 1/3 (pow x 3)) (pow x 3))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 5/6 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) a (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 5/6 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) |
(/ (+ (* a (- (* a (- (* 1/4 x) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2)))))) 1/2)) (/ 1 x)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 3/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) a #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a) |
(/ (+ (* a (- (* a (- (+ (* 1/4 x) (* a (- (* 1/12 (pow x 2)) (+ (* -1/4 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) x)) (+ (* 1/2 (/ (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow x 2))) (* x (- (* 1/4 x) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2))))))))))) (+ (* -1/2 x) (* 1/2 (/ (+ (* 1/3 (pow x 3)) (pow x 3)) (pow x 2)))))) 1/2)) (/ 1 x)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)) (fma.f64 (fma.f64 x #s(literal 3/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) x (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)))) a (fma.f64 x #s(literal 3/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) a #s(literal -1/2 binary64)) a (/.f64 #s(literal 1 binary64) x)) a) |
2 |
#s(literal 2 binary64) |
(+ 2 (* a x)) |
(fma.f64 x a #s(literal 2 binary64)) |
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 2 binary64)) |
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* 2 (* a x)) |
(*.f64 x (+.f64 a a)) |
(* a (+ (* 2 x) (* 2 (* a (pow x 2))))) |
(*.f64 (*.f64 x (fma.f64 x (+.f64 a a) #s(literal 2 binary64))) a) |
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))) |
(*.f64 (fma.f64 x (fma.f64 x (+.f64 a a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) a)) a)) a) |
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (+ (* a (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow x 3)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2/3 binary64)) a)) a) a (*.f64 x (fma.f64 x (+.f64 a a) #s(literal 2 binary64)))) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64)) x) x) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (*.f64 a a) a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))) a) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a))) a) (*.f64 a a)) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/6 binary64)) x) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a)) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) a) a #s(literal 1 binary64)) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) a) a #s(literal 1 binary64)) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/6 binary64)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (/ 1 a))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 x a #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* (pow a 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x x) a) a) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 1/6 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
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(* (pow a 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x x) a) a) |
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
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(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
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(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
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(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
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(- (pow (exp (* a x)) 2) 1) |
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(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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#s(literal 1 binary64) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(* 1/2 a) |
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(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
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(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
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(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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(* a x) |
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(* a x) |
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(* a x) |
(*.f64 x a) |
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(*.f64 x a) |
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
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#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(+ a (* 1/2 (* (pow a 2) x))) |
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(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
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#s(literal 1 binary64) |
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(+ 1 (* a x)) |
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(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow a 2) (pow x 2)) 1) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (- (+ (* x (- (* 1/2 (+ (* 1/3 (pow a 3)) (pow a 3))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))) |
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#s(literal 2 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1/2 binary64) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)) x) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(* a x) |
(*.f64 x a) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 x a #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* (pow a 2) (pow x 2)) |
(*.f64 (*.f64 (*.f64 x x) a) a) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 a a) (*.f64 x x) #s(literal -1 binary64)) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (- (pow (exp (* a x)) 2) 1) (+ 1 (exp (* a x)))) |
(/.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(/ (+ 1 (exp (* a x))) (- (pow (exp (* a x)) 2) 1)) |
(/.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+ 1 (exp (* a x))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 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 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 x) #s(literal 1/2 binary64)) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(* (pow a 2) x) |
(*.f64 (*.f64 a a) x) |
(- (pow (exp (* a x)) 2) 1) |
(expm1.f64 (*.f64 x (+.f64 a a))) |
(- (pow (exp (* a x)) 2) 1) |
(expm1.f64 (*.f64 x (+.f64 a a))) |
(- (pow (exp (* a x)) 2) 1) |
(expm1.f64 (*.f64 x (+.f64 a a))) |
(- (pow (exp (* a x)) 2) 1) |
(expm1.f64 (*.f64 x (+.f64 a a))) |
| 5 646× | lower-fma.f32 |
| 5 630× | lower-fma.f64 |
| 4 296× | lower-*.f32 |
| 4 278× | lower-*.f64 |
| 4 182× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 312 |
| 0 | 69 | 287 |
| 1 | 282 | 229 |
| 2 | 2022 | 229 |
| 0 | 8378 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a x) a) |
(*.f64 (*.f64 a a) x) |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(*.f64 (*.f64 x a) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 x (*.f64 a (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))) |
(*.f64 a (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (-.f64 (*.f64 (*.f64 (*.f64 x a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 x a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (-.f64 (*.f64 (*.f64 (*.f64 x a) a) x) (*.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 x a))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 a a) a) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x a) x) a (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a))) (*.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 a a) a) (pow.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x a) x) a (-.f64 (*.f64 (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (*.f64 (*.f64 x a) (*.f64 (*.f64 x a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (*.f64 x a))) (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (*.f64 x a))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x a) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x a) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64)) (*.f64 x a)) (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64)) (*.f64 x a)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) |
(/.f64 (*.f64 (*.f64 x a) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal -1 binary64))) (fma.f64 (*.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x a) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (exp.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) |
Compiled 49 869 to 3 053 computations (93.9% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 515 | 6 | 1 521 |
| Fresh | 11 | 3 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 528 | 16 | 1 544 |
| Status | Accuracy | Program |
|---|---|---|
| 68.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/4 binary64) (*.f64 (*.f64 #s(literal 4/3 binary64) a) #s(literal -1/2 binary64))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) | |
| ✓ | 22.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 51.4% | (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 5.8% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) | |
| ▶ | 3.7% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
| ✓ | 20.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 65.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
| ✓ | 68.8% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| ▶ | 69.5% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
| ▶ | 68.6% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
| ✓ | 69.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
| 62.3% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) | |
| ▶ | 68.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
Compiled 398 to 226 computations (43.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) |
| 53 640× | lower-fma.f32 |
| 53 624× | lower-fma.f64 |
| 5 808× | distribute-lft-in |
| 5 804× | lower-+.f64 |
| 5 804× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 444 |
| 0 | 87 | 444 |
| 1 | 177 | 440 |
| 2 | 391 | 440 |
| 3 | 902 | 440 |
| 4 | 1848 | 440 |
| 5 | 3029 | 440 |
| 6 | 4139 | 440 |
| 7 | 4488 | 440 |
| 8 | 4514 | 440 |
| 9 | 4514 | 440 |
| 10 | 7364 | 440 |
| 11 | 7364 | 440 |
| 12 | 7364 | 440 |
| 13 | 7366 | 440 |
| 14 | 7366 | 440 |
| 0 | 8952 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
(*.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) |
#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
a |
x |
#s(literal 1 binary64) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) |
#s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
a |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
a |
#s(literal 1/6 binary64) |
(*.f64 x a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
(*.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x) |
(fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) |
#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
a |
x |
#s(literal 1 binary64) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))) |
#s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) |
#s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (*.f64 x a) a) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
#s(literal 1/6 binary64) |
a |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
a |
#s(literal 1/6 binary64) |
(*.f64 x a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/24 binary64) x) | |
| accuracy | 0.9143408025985326 | (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) | |
| accuracy | 20.102778441301837 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) | |
| accuracy | 0.9185256188689419 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) | |
| accuracy | 1.1664204433639054 | (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) | |
| accuracy | 5.157797718555599 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) | |
| accuracy | 19.5352879464939 | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| accuracy | 6.5206186642338 | (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) | |
| accuracy | 19.92993809646303 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) | |
| accuracy | 30.248140533555972 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) | |
| accuracy | 42.44528625032837 | #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) | |
| accuracy | 0.05859375 | (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) | |
| accuracy | 2.3763301894568407 | (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) | |
| accuracy | 19.5352879464939 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) | |
| accuracy | 20.774910095779074 | #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 2.3958614394568407 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) | |
| accuracy | 19.5352879464939 | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
| 83.0ms | 256× | 0 | valid |
Compiled 335 to 48 computations (85.7% saved)
ival-mult: 39.0ms (62.7% of total)ival-add: 11.0ms (17.7% of total)const: 8.0ms (12.9% of total)ival-expm1: 3.0ms (4.8% of total)ival-exp: 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 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) (patch #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* a x) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* a x)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 a) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1/2 (* 1/6 (* a x)))) (taylor 0 a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) (taylor 0 a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/6 (* 1/24 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/24 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/24 (* a x))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) x)) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) x)) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) (taylor inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) (taylor inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) (taylor inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 4) (pow x 4))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 3) (pow x 3))) (taylor inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* a x)) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (* (pow a 2) x)) (taylor inf a) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) x)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) x)) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) (taylor -inf a) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf a) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor -inf a) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor -inf a) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* a x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 a) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 a) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* 1/2 (* (pow a 2) x)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) (taylor 0 x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/6 (* 1/24 (* a x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/24 (* a x))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) x)) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) (patch (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf x) (#s(alt (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (exp (* a x)) (taylor inf x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* a x)) (taylor inf x) (#s(alt #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) (patch #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) (pow x 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (pow a 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* a x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((+ (* (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* x a)) (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (* (* (* (* a a) 1/2) x) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (+ (* (* 1/6 x) a) 1/2) (* (* (* a a) 1/2) x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6)) |
| 4.0ms | x | @ | -inf | ((+ (* (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* x a)) (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (* (* (* (* a a) 1/2) x) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (+ (* (* 1/6 x) a) 1/2) (* (* (* a a) 1/2) x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6)) |
| 3.0ms | a | @ | -inf | ((+ (* (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* x a)) (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (* (* (* (* a a) 1/2) x) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (+ (* (* 1/6 x) a) 1/2) (* (* (* a a) 1/2) x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6)) |
| 3.0ms | a | @ | 0 | ((+ (* (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* x a)) (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (* (* (* (* a a) 1/2) x) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (+ (* (* 1/6 x) a) 1/2) (* (* (* a a) 1/2) x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6)) |
| 3.0ms | a | @ | inf | ((+ (* (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* x a)) (* x a)) (- (exp (* a x)) 1) (* (* (+ (* (* 1/6 x) a) 1/2) a) x) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (* (* (* (* a a) 1/2) x) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (+ (* (* 1/6 x) a) 1/2) (* (* (* a a) 1/2) x) (* 1/24 x) (+ (* (* 1/24 x) a) 1/6)) |
| 1× | egg-herbie |
| 21 048× | lower-fma.f64 |
| 21 048× | lower-fma.f32 |
| 7 176× | lower-*.f64 |
| 7 176× | lower-*.f32 |
| 4 022× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 6645 |
| 1 | 1394 | 6485 |
| 2 | 4741 | 6397 |
| 0 | 8344 | 5799 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* 1/2 a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(* 1/2 a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))) |
(* 1/2 x) |
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x)) |
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) |
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
1/6 |
(+ 1/6 (* 1/24 (* a x))) |
(+ 1/6 (* 1/24 (* a x))) |
(+ 1/6 (* 1/24 (* a x))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* a (pow x 3))) |
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3)))))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/6 (* a x)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/24 (* a x)) |
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(* 1/6 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(* 1/6 (* a (pow x 3))) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) |
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3))))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* 1/6 (* a x)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/24 (* a x)) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* 1/2 a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(* 1/2 a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 (* a x)))) |
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) |
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
1/2 |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(+ 1/2 (* 1/6 (* a x))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1/6 |
(+ 1/6 (* 1/24 (* a x))) |
(+ 1/6 (* 1/24 (* a x))) |
(+ 1/6 (* 1/24 (* a x))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) x)) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* 1/6 (* (pow a 2) x)) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* 1/6 (* a (pow x 3))) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2)))))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2)))))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* 1/6 (* a x)) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 (* a x)) |
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x)))) |
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x)))) |
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* 1/6 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(* 1/6 (* (pow a 2) x)) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(* 1/6 (* a (pow x 3))) |
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* 1/6 (* a x)) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x))))) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/2 (* (pow a 2) x)) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 (* a x)) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
| Outputs |
|---|
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
(* 1/2 (* a x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) a)) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) |
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) |
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (*.f64 a a)))) a) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (*.f64 a a)))) a) (*.f64 a a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (*.f64 a a)))) a) (*.f64 a a)) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
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(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
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(fma.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a #s(literal 1 binary64)) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(exp (* a x)) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
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(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64)) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* 1/6 (* a (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) |
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
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(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))) |
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(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/24 binary64)) x) x) |
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
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(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
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(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 a a)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)))) a) (*.f64 a a) #s(literal 1 binary64)) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64)) x) x) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
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(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
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(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
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(* 1/6 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* 1/6 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/24 (* a x)) |
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(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
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(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) a) a) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
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(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
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(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
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(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(exp (* a x)) |
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(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a)) a) a) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a)) a) a) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a))) a)) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a))) a)) (*.f64 a a)) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) x) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a)) (neg.f64 a))) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a)) (neg.f64 a))) a) a) |
(* 1/6 (* a (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) |
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 x x) a)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a))) (neg.f64 a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a))) (neg.f64 a))) (pow.f64 a #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/24 binary64)) x) x) |
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) a) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x (/.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (neg.f64 a))) a)) (*.f64 a a)) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) a)) (neg.f64 a))) (neg.f64 a))) a)) (*.f64 a a)) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64)) x) x) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x))) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 x a))) (neg.f64 a))) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 x a))) (neg.f64 a))) a) a) |
(* 1/6 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* 1/6 (* a x)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x a)) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64))) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/24 (* a x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x a)) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) a #s(literal -1/6 binary64))) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) a #s(literal -1/6 binary64))) |
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) a #s(literal -1/6 binary64))) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 1/2 (* a x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) |
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(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
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(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) |
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(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) |
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(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
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(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
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#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
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(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (* a x))) |
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(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (* a x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
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(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 (* a x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x a) #s(literal 1/6 binary64)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) a (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (*.f64 x x)))) x) (*.f64 x x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) x) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) x) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) x) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) x #s(literal 1 binary64)) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
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(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) |
(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(exp (* a x)) |
(exp.f64 (*.f64 x a)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) (*.f64 a a)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
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(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) a (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (*.f64 x x)))) x) (*.f64 x x)) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) x) x) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) #s(literal 1/6 binary64))) x) (*.f64 x x)) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
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(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
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(* 1/6 (* a (pow x 3))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) a) x) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(* 1/24 (* (pow a 4) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) |
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(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 a (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 a a) x)) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3)))))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 a (/.f64 (*.f64 a a) x)) #s(literal 1/6 binary64) (fma.f64 (*.f64 a (/.f64 a (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 a (*.f64 (*.f64 x x) x))))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/24 binary64))) x) (*.f64 x x)) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/24 binary64)))) x) (*.f64 x x)) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 a (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/24 binary64)))) x) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/24 binary64)) x) x) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) |
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(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* 1/24 (* a x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x a)) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) a) (neg.f64 x) #s(literal 1/6 binary64)) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) a) (neg.f64 x) #s(literal 1/6 binary64)) |
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) a) (neg.f64 x) #s(literal 1/6 binary64)) |
| 6 016× | lower-*.f32 |
| 5 982× | lower-*.f64 |
| 5 546× | lower-fma.f32 |
| 5 530× | lower-fma.f64 |
| 4 094× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 382 |
| 0 | 87 | 382 |
| 1 | 330 | 370 |
| 2 | 2053 | 370 |
| 0 | 8754 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) |
#s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/24 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) a) x) a) (/.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) x) a) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) a) x) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) |
(*.f64 (*.f64 a x) (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) |
(pow.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) a) x) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))) (fma.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) a)) (neg.f64 (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) a)) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)))) (neg.f64 (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 a x) #s(literal 1 binary64)) a) x) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))) (neg.f64 (neg.f64 (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 (*.f64 (*.f64 a x) a) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 (*.f64 a x) a) x)) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 a a) a))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x))))) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 a a) a))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a)) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))) (*.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 a x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 a x) a) x) (*.f64 a x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a)) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) a) (*.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 x x) a) (*.f64 (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) a))))))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 a x) a) x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) a) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 a x) a) x) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 a x) a) x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) a) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 a a) a) #s(literal 1/216 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) a) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 a x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(fma.f64 a (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/24 binary64) a) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) a))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 a x) a) x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) a)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 a x) a) x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) a) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) x) a)) |
Compiled 33 285 to 2 063 computations (93.8% saved)
16 alts after pruning (5 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 107 | 2 | 1 109 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 109 | 16 | 1 125 |
| Status | Accuracy | Program |
|---|---|---|
| 68.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/4 binary64) (*.f64 (*.f64 #s(literal 4/3 binary64) a) #s(literal -1/2 binary64))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) | |
| ✓ | 22.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 51.4% | (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 3.7% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
| 5.8% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) | |
| ✓ | 20.3% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 65.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
| ✓ | 68.8% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| 68.2% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) | |
| ✓ | 68.6% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
| ✓ | 69.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
| 62.3% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) | |
| ✓ | 68.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
Compiled 819 to 263 computations (67.9% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/4 binary64) (*.f64 (*.f64 #s(literal 4/3 binary64) a) #s(literal -1/2 binary64))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 (*.f64 a a) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 49.0ms | a |
| 10.0ms | (*.f64 a x) |
| 9.0ms | x |
| 8.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 7.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/4 binary64) (*.f64 (*.f64 #s(literal 4/3 binary64) a) #s(literal -1/2 binary64))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (fma.f64 a x #s(literal -1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 (*.f64 a a) x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a))) |
5 calls:
| 33.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 11.0ms | a |
| 9.0ms | x |
| 8.0ms | (*.f64 a x) |
| 7.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | a |
| 80.7% | 2 | x |
| 99.2% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 99.2% | 2 | (exp.f64 (*.f64 a x)) |
| 99.2% | 2 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
3 calls:
| 6.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 5.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 99.1% | 2 | (exp.f64 (*.f64 a x)) |
| 99.1% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
3 calls:
| 28.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 5.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 99.1% | 2 | (exp.f64 (*.f64 a x)) |
| 99.1% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a))) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
3 calls:
| 41.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 4.0ms | (*.f64 a x) |
| 3.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 98.8% | 2 | (exp.f64 (*.f64 a x)) |
| 98.8% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
5 calls:
| 4.0ms | a |
| 4.0ms | x |
| 3.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 3.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | x |
| 71.0% | 2 | a |
| 71.3% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.3% | 2 | (exp.f64 (*.f64 a x)) |
| 71.3% | 2 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 3.0ms | a |
| 3.0ms | x |
| 3.0ms | (*.f64 a x) |
| 2.0ms | (exp.f64 (*.f64 a x)) |
| 2.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | x |
| 68.8% | 1 | a |
| 68.8% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 68.8% | 1 | (*.f64 a x) |
| 68.8% | 1 | (exp.f64 (*.f64 a x)) |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
5 calls:
| 30.0ms | (*.f64 a x) |
| 1.0ms | x |
| 1.0ms | a |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | a |
| 20.3% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 20.3% | 1 | (exp.f64 (*.f64 a x)) |
| 20.3% | 1 | (*.f64 a x) |
| 20.3% | 1 | x |
Compiled 25 to 17 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -301.2687886812248 | -0.00041114909109881 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -301.2687886812248 | -0.00041114909109881 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -301.2687886812248 | -0.00041114909109881 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -301.2687886812248 | -0.00041114909109881 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.44752977614867e-131 |
Compiled 11 to 11 computations (0% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 2× | mul-1-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 306 |
| 1 | 93 | 306 |
| 2 | 98 | 306 |
| 3 | 104 | 306 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 x a) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 x a) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (*.f64 a x) (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp (* a x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(approx (+ (* (* (* a a) x) x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) a)) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 19 548× | lower-fma.f64 |
| 19 548× | lower-fma.f32 |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 6 016× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 312 |
| 0 | 69 | 287 |
| 1 | 282 | 229 |
| 2 | 2022 | 229 |
| 0 | 8378 | 225 |
| 0 | 27 | 177 |
| 0 | 49 | 177 |
| 1 | 209 | 177 |
| 2 | 1532 | 177 |
| 0 | 8086 | 177 |
| 0 | 63 | 432 |
| 1 | 195 | 432 |
| 2 | 526 | 424 |
| 3 | 1045 | 424 |
| 4 | 1672 | 424 |
| 5 | 1873 | 424 |
| 6 | 1900 | 424 |
| 7 | 1920 | 424 |
| 8 | 1934 | 424 |
| 9 | 1937 | 424 |
| 10 | 1937 | 424 |
| 11 | 2619 | 420 |
| 12 | 3094 | 420 |
| 13 | 4061 | 420 |
| 14 | 4062 | 420 |
| 15 | 4062 | 420 |
| 16 | 4190 | 420 |
| 17 | 4190 | 420 |
| 18 | 6071 | 416 |
| 19 | 6279 | 416 |
| 20 | 6321 | 416 |
| 21 | 6335 | 416 |
| 22 | 6335 | 416 |
| 23 | 6511 | 416 |
| 24 | 6849 | 416 |
| 25 | 6849 | 416 |
| 26 | 7408 | 416 |
| 0 | 7408 | 360 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 0 | 53 | 382 |
| 0 | 87 | 382 |
| 1 | 330 | 370 |
| 2 | 2053 | 370 |
| 0 | 8754 | 356 |
| 0 | 411 | 5114 |
| 1 | 1349 | 4934 |
| 2 | 4253 | 4746 |
| 0 | 8261 | 4204 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 410 to 181 computations (55.9% saved)
(sort a x)
Compiled 434 to 132 computations (69.6% saved)
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