
Time bar (total: 6.6s)
| 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)
| 512.0ms | 8 256× | 0 | valid |
| 12.0ms | 266× | 0 | invalid |
ival-mult: 157.0ms (60.5% of total)ival-expm1: 60.0ms (23.1% of total)ival->: 31.0ms (11.9% of total)exact: 8.0ms (3.1% of total)ival-assert: 4.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 2 | (8.250155261768736e-219 7.933959754719996e-105) | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 1 | (-1.0892096324945107e-305 1.1579025628446906e+307) | 0 | - | (exp.f64 (*.f64 a x)) |
| 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 | 121 | 0 |
exp.f64 | (exp.f64 (*.f64 a x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 119 | 0 |
| - | 3 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 119 | 0 | 0 |
| - | 3 | 0 | 134 |
| number | freq |
|---|---|
| 0 | 134 |
| 1 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-expm1: 6.0ms (38.2% of total)ival-mult: 5.0ms (31.9% of total)ival-exp: 4.0ms (25.5% 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 |
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 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.5% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -6144 | (exp.f64 (*.f64 a x)) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 6336 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
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)) |
(pow.f64 (exp.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 | 0.01171875 | (exp.f64 (*.f64 a x)) | |
| accuracy | 27.18295665987713 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 13.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-exp: 2.0ms (33% of total)ival-mult: 2.0ms (33% of total)ival-expm1: 2.0ms (33% 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 (*.f64 a x) (patch (*.f64 a x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 a x)) (patch (exp.f64 (*.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 (* 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 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 (- (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 (* 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)) (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 (- (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 (* 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)) (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 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 (* 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 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 (- (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 (* 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)) (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 (- (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 (* 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)) (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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (* a x) (exp (* a x))) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* a x) (exp (* a x))) |
| 1.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* a x) (exp (* a x))) |
| 0.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* a x) (exp (* a x))) |
| 0.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* a x) (exp (* a x))) |
| 1× | egg-herbie |
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)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
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))))))) |
(- (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)) |
(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) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* 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) |
(* a x) |
(* a x) |
(* a x) |
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))))))) |
(- (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)) |
(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) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* 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)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.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)) |
(- (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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.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)) |
(- (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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(* a x) |
(*.f64 x a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
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)) |
(*.f64 a x) |
(exp.f64 (*.f64 a x)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 3 200 to 339 computations (89.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 8 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 176 | 8 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (-.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)) | |
| ▶ | 24.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 22.8% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 65.6% | #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))) |
| ▶ | 66.6% | #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))) |
| 60.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) | |
| 66.5% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 172 to 132 computations (23.3% saved)
| 1× | egg-herbie |
Found 15 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 (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))) | |
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 229 |
| 0 | 51 | 225 |
| 1 | 91 | 225 |
| 2 | 177 | 225 |
| 3 | 434 | 225 |
| 4 | 1450 | 225 |
| 5 | 3386 | 225 |
| 6 | 3473 | 225 |
| 7 | 3512 | 225 |
| 8 | 3550 | 225 |
| 9 | 3550 | 225 |
| 10 | 5613 | 225 |
| 11 | 5613 | 225 |
| 12 | 5626 | 225 |
| 13 | 5626 | 225 |
| 14 | 6227 | 225 |
| 15 | 6422 | 225 |
| 16 | 6422 | 225 |
| 0 | 8382 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 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) |
#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 (* 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 |
|---|
(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) |
#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)) 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)) |
(*.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) |
(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) |
#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 a x) #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 a x) #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)) |
(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 (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 (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) |
(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 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #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) |
(*.f64 a x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.359375 | (*.f64 #s(literal 1/24 binary64) x) | |
| accuracy | 1.2040238264496432 | (*.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) | |
| accuracy | 1.8974460373940856 | (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 | 21.996944849948896 | #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 | 0.06640625 | (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) | |
| accuracy | 0.36328125 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 0.9662868842181922 | (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 | 21.39456972057064 | #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))) | |
| accuracy | 0 | (fma.f64 x a #s(literal 1 binary64)) | |
| accuracy | 21.828423810158867 | #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) | |
| accuracy | 27.18295665987713 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 21.869310890243575 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| accuracy | 27.18295665987713 | (-.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)) |
| 64.0ms | 256× | 0 | valid |
Compiled 401 to 56 computations (86% saved)
ival-mult: 24.0ms (53% of total)ival-add: 7.0ms (15.5% of total)const: 7.0ms (15.5% of total)ival-expm1: 5.0ms (11% of total)ival-exp: 2.0ms (4.4% 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 #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 (* 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 (*.f64 #s(literal 1/24 binary64) x) (patch (*.f64 #s(literal 1/24 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 #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>) () ())) ()) |
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#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 (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#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 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 (* 1/24 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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) (* (+ (* (* (+ (* (* 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) (* (+ (* (* (+ (* (+ (* (* 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) (* 1/24 x)) |
| 5.0ms | 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) (* (+ (* (* (+ (* (* 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) (* (+ (* (* (+ (* (+ (* (* 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) (* 1/24 x)) |
| 3.0ms | 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) (* (+ (* (* (+ (* (* 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) (* (+ (* (* (+ (* (+ (* (* 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) (* 1/24 x)) |
| 3.0ms | 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) (* (+ (* (* (+ (* (* 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) (* (+ (* (* (+ (* (+ (* (* 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) (* 1/24 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) (* (+ (* (* (+ (* (* 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) (* (+ (* (* (+ (* (+ (* (* 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) (* 1/24 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 3830 |
| 1 | 1112 | 3778 |
| 2 | 3837 | 3654 |
| 0 | 8106 | 3236 |
| 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)))))))) |
(* 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 (* 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))))) |
(- (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) |
(* 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) |
(* 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)))))) |
(- (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) |
(* 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) |
(* 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)))) |
(* 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)))))))) |
(* 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) |
(* 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) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 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) |
(* 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) |
(* 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) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 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) |
(* 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) |
(* 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) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x 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 (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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x 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 (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 (*.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)) |
(* 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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x 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 (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 (*.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)) |
(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 (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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
(* 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 (*.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 (*.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 (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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
(* 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 (*.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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) 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) |
(- (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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) 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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (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))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.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))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.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))) (pow.f64 a #s(literal 3 binary64))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) a) a) #s(literal 1/6 binary64)) |
(* (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) #s(literal 1/6 binary64)) x) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) 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)) |
(* 1/24 (* (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 (pow.f64 x #s(literal 3 binary64)) 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) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 a a))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) 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) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 a a))) #s(literal 1/2 binary64) (/.f64 x (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 a #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (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 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 x a) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a)))) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 x a) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a)))) (*.f64 a a)) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 x a) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a)))) (*.f64 a a)) |
(- (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)) 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) |
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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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(- (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)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* a x) |
(*.f64 x a) |
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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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(- (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 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) a) a) #s(literal 1/6 binary64)) |
(* (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 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
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(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
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(* 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)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* (pow a 2) (+ (* 1/6 x) (* 1/2 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) 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)) |
(* 1/24 (* (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)))) |
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(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
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(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 a))) a) a) |
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(* 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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 (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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(* 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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
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) |
(* 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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 (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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) 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)) |
(+ 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 (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 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
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(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
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 (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 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) |
(* x (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) |
(*.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))))) |
(*.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) |
(* 1/6 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) |
(* 1/24 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) |
(- (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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* a x) |
(*.f64 x a) |
(* x (+ a (/ 1 x))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 x a #s(literal 1 binary64)) |
(* x (+ 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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) a) a) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a)) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 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 x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 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) #s(literal 1/6 binary64)) x) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* x (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) 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)) |
(* 1/24 (* (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)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) 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)))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 a (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (fma.f64 (*.f64 a (/.f64 a (*.f64 x x))) #s(literal 1/2 binary64) (/.f64 a (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 a x) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) |
(* (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 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 a x) (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(*.f64 (fma.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(*.f64 (fma.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/24 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) |
(- (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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) a) a) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) x) x) |
(* 1/6 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) x) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a) a) |
(* -1 (* x (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) 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)) |
(* 1/24 (* (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)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) 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 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/6 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/24 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 183 |
| 0 | 51 | 179 |
| 1 | 205 | 179 |
| 2 | 1384 | 179 |
| 0 | 8355 | 179 |
| 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)) |
#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 (* 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) |
(*.f64 #s(literal 1/24 binary64) x) |
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Compiled 21 791 to 2 255 computations (89.7% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 940 | 5 | 945 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 942 | 11 | 953 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.4% | (/.f64 #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)))) |
| ▶ | 24.2% | (-.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)) |
| ✓ | 24.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.8% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 66.5% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| ✓ | 65.6% | #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))) |
| ✓ | 66.6% | #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))) |
| ▶ | 65.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
| 65.6% | #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) | |
| ▶ | 66.6% | #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)) |
Compiled 218 to 165 computations (24.3% saved)
| 1× | egg-herbie |
Found 18 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 | #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 | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #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 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #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 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) | |
| cost-diff | 0 | (*.f64 x a) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 x 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)) a) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 359 |
| 0 | 61 | 355 |
| 1 | 111 | 355 |
| 2 | 203 | 355 |
| 3 | 441 | 355 |
| 4 | 1173 | 355 |
| 5 | 2098 | 355 |
| 6 | 3571 | 355 |
| 7 | 5128 | 355 |
| 8 | 5138 | 355 |
| 9 | 5204 | 355 |
| 10 | 5260 | 355 |
| 11 | 5260 | 355 |
| 12 | 5478 | 355 |
| 13 | 5695 | 355 |
| 14 | 5695 | 355 |
| 15 | 5695 | 355 |
| 16 | 6250 | 355 |
| 17 | 6549 | 355 |
| 18 | 6552 | 355 |
| 0 | 6552 | 341 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 (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) |
(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) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(*.f64 x a) |
x |
a |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) |
#s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
a |
#s(literal 1 binary64) |
(*.f64 x a) |
(/.f64 #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)))) |
#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)) (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 |
(-.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 |
|---|
#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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) 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) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) 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)) a) |
(*.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 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)) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #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) |
(*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 x a) |
(*.f64 a x) |
x |
a |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a a) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a) x)) |
(*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 (fma.f64 (*.f64 a a) #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a) x) |
(fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) |
#s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
a |
#s(literal 1 binary64) |
(*.f64 x a) |
(*.f64 a x) |
(/.f64 #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)) (fma.f64 a x #s(literal 1 binary64))) #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)) (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 |
(-.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 (*.f64 a x) (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #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 (*.f64 a x) (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) #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 a x) (fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #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) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #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) |
(*.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
a |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 x a) |
(*.f64 a x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36328125 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 0.9662868842181922 | (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 | 21.787455550089497 | #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 | 27.18295665987713 | (-.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 | 0.1171875 | (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0.6489206135376738 | (/.f64 #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)))) | |
| accuracy | 21.828423810158867 | #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) | |
| accuracy | 27.18295665987713 | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) | |
| accuracy | 1.8974460373940856 | (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) | |
| accuracy | 21.164950292926182 | #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 21.996944849948896 | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) | |
| accuracy | 0 | (*.f64 x a) | |
| accuracy | 21.425985378607955 | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) | |
| accuracy | 0.7220639632800532 | (*.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) | |
| accuracy | 0.9662868842181922 | (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 | 1.1858107628327978 | (*.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) | |
| accuracy | 21.39456972057064 | #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)) |
| 77.0ms | 256× | 0 | valid |
Compiled 523 to 63 computations (88% saved)
ival-mult: 31.0ms (55% of total)ival-add: 8.0ms (14.2% of total)const: 7.0ms (12.4% of total)ival-div: 4.0ms (7.1% of total)ival-expm1: 4.0ms (7.1% of total)ival-exp: 2.0ms (3.6% 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 (*.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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (*.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) (patch (*.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) #<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)) 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)) 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 #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 #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #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(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 (*.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 #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #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)) (patch #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)) #<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 (*.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)) (patch #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)) #<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 (*.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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) (taylor 0 a) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor inf a) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 3))) (taylor inf a) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) (taylor inf a) (#s(alt (*.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) (patch (*.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) #<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 (*.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) (patch (*.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) #<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 (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 3) (pow x 2))) (taylor inf 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)) 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)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor inf 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)) 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)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf 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)) 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)) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf 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)) 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)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow a 2) (pow x 2))) (taylor inf 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 (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) (taylor inf 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 (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf 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 (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) (taylor inf 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 (- (exp (* a x)) 1) (taylor inf 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 (- (exp (* a x)) 1) (taylor inf 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 (- (exp (* a x)) 1) (taylor inf 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 (- (exp (* a x)) 1) (taylor inf 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 inf a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor inf a) (#s(alt (*.f64 x a) (patch (*.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 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.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) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) (patch #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #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)))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#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 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) (patch (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #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 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 x) (taylor 0 x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt (/.f64 #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)))) (patch (/.f64 #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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- (exp (* a x)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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)) 1)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.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)) 1) (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)) 1) (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)) 1) (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)) 1) (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 (- (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 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 | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) x) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* x a) (- (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 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (* 1/6 x)) |
| 2.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) x) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* x a) (- (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 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (* 1/6 x)) |
| 1.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) x) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* x a) (- (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 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (* 1/6 x)) |
| 1.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) x) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* x a) (- (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 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (* 1/6 x)) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) x) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) a) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (- (exp (* x a)) 1) (* x a) (- (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 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) 1) (* 1/6 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 4690 |
| 1 | 1379 | 4592 |
| 2 | 5005 | 4426 |
| 0 | 8242 | 3902 |
| 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)))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
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)))) |
(* 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)))))))) |
(* 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))))) |
(* 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 (* a x)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(* 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 (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (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 3) (pow x 2))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (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))))) |
(- (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) |
(* 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)))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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)) |
(* 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)))))) |
(- (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 3) (pow x 2))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 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 (/ (- (* -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)))) |
(- (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) |
(* 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)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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)) |
(* 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))))) |
(* 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)))))) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(+ 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)))) |
(* 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)))))))) |
(* 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))))) |
(* 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 (* a x)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 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))))))) |
(* 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))))))) |
(* 1/6 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) |
(* 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 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 2) (+ (* 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))))) |
(- (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) |
(* 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))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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)) |
(* 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 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) |
(* 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 3) (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a 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)))) |
(- (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) |
(* 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))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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)) |
(* 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 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)) a) x) |
(* 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) 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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #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)) a) x) |
(* 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) 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 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a x) a) |
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 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
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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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
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(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) x) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (neg.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)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (neg.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)))) (pow.f64 a #s(literal 3 binary64))) |
(* 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 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 (*.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))) a) a) |
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2)))) |
(*.f64 (*.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))) 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)) |
(* 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)) |
(* 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)))) |
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(* (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) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 x x) a) #s(literal -1/2 binary64))) (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)))) |
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(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
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(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64))) |
(* -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 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.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)))) (pow.f64 a #s(literal 3 binary64))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) a))) (*.f64 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1/2 binary64) 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 a))) 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 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (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)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) (neg.f64 a)))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a)) (neg.f64 a)))) (pow.f64 a #s(literal 3 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)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
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 (* 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)) x) a #s(literal 1 binary64)) a) |
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(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) 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 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) 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)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
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 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 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) |
(* x (+ 1/2 (* 1/6 (* a x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))) |
(*.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))))) |
(*.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 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)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(/ 1 (* a x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) x) |
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x) |
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) a (*.f64 (*.f64 a (fma.f64 #s(literal -1/24 binary64) a (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/12 binary64) a)))) (neg.f64 x))) x #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x) |
(* 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)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 #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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x #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)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x) |
(* 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 (pow.f64 a #s(literal 3 binary64)) #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 #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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x #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 #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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(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
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(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(- (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 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
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(* 1/6 (* (pow a 3) (pow x 2))) |
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(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
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(* 1/6 (* (pow a 2) (pow x 2))) |
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(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
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(*.f64 x a) |
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(*.f64 x a) |
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(*.f64 x 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 x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) |
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(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
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(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3)))))) |
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(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x)))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
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(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
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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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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
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(/ 1 (- (exp (* a x)) 1)) |
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(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (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)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (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)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
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(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
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(* 1/6 x) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
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(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) x) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) |
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
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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)))) |
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(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 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)) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (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)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 285 |
| 0 | 61 | 281 |
| 1 | 251 | 281 |
| 2 | 1629 | 281 |
| 0 | 8138 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (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) |
(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(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(*.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
(*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)) |
(fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) |
#s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #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(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 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(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)) |
(*.f64 #s(literal 1/6 binary64) x) |
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Compiled 24 496 to 2 368 computations (90.3% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 036 | 5 | 1 041 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 038 | 14 | 1 052 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
| 65.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) | |
| ▶ | 70.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) |
| ✓ | 24.2% | (-.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)) |
| ▶ | 23.1% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 24.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.8% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 65.4% | #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
| ✓ | 66.5% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| ✓ | 65.6% | #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))) |
| ✓ | 66.6% | #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))) |
| ✓ | 65.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
| ▶ | 65.6% | #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) |
Compiled 249 to 192 computations (22.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.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)) x) a) | |
| cost-diff | 0 | #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) | |
| cost-diff | 0 | (*.f64 x a) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) | |
| cost-diff | 0 | #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 340 |
| 0 | 62 | 332 |
| 1 | 104 | 332 |
| 2 | 189 | 332 |
| 3 | 417 | 332 |
| 4 | 1210 | 332 |
| 5 | 2809 | 332 |
| 6 | 4307 | 332 |
| 7 | 4732 | 332 |
| 8 | 4771 | 332 |
| 9 | 4771 | 332 |
| 10 | 7853 | 332 |
| 11 | 7853 | 332 |
| 12 | 7853 | 332 |
| 0 | 8107 | 318 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
a |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(*.f64 x a) |
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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a) |
(*.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)) x) |
(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 (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) |
(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)) |
(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 a x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) |
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) |
(/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
a |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(*.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x a) |
x |
a |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 x a)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 x a)) |
(*.f64 x a) |
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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) |
#s(approx (/ 1 (/ 1 (- (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)) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) 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)) x) a) |
(*.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)) 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)) x) |
(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)) |
(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 a x) #s(literal 1/2 binary64)) x) |
(*.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 a x) #s(literal 1/2 binary64)) |
(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 a x) |
(*.f64 x a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2040238264496432 | (*.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) | |
| accuracy | 1.8966610981220333 | (*.f64 (*.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)) x) a) | |
| accuracy | 1.8974460373940856 | (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)) | |
| accuracy | 21.996944849948896 | #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) | |
| accuracy | 0 | (*.f64 x a) | |
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) | |
| accuracy | 0.6489206135376738 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) | |
| accuracy | 21.425985378607955 | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) | |
| accuracy | 0.9581233172326715 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) | |
| accuracy | 21.81499009793867 | #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) | |
| accuracy | 27.18295665987713 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x a) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) | |
| accuracy | 0.9659358172326715 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) | |
| accuracy | 22.103712176513866 | #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.38194279040018486 | (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) | |
| accuracy | 0.6489206135376738 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) | |
| accuracy | 18.16161377907595 | #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) |
| 154.0ms | 256× | 0 | valid |
Compiled 561 to 66 computations (88.2% saved)
ival-add: 35.0ms (40.2% of total)ival-mult: 31.0ms (35.6% of total)const: 10.0ms (11.5% of total)ival-div: 7.0ms (8% of total)ival-exp: 2.0ms (2.3% of total)ival-expm1: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* a x)) 1) (*.f64 x a)) #<representation binary64>) () ()) |
#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ()) |
#s(alt #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) (patch #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.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)) x) a) (patch (*.f64 (*.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)) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) (patch (*.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)) x) #<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 a x) #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 a x) #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 a x) #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 a x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* a x) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* a x)) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) (patch #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* a x)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 a) (/ 1 x)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (/ 1 x)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (/ 1 x)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 a) (/ 1 x)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) (patch #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ x (* 1/2 (* a (pow x 2))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) #<representation binary64>) () ())) ()) |
#s(alt a (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/2 (* a x)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (* a x))) (taylor 0 a) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) (patch #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* a x)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* a x)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* a x)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #s(approx (- (exp (* a x)) 1) (*.f64 x a)) (patch #s(approx (- (exp (* a x)) 1) (*.f64 x a)) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (* a x) (taylor -inf x) (#s(alt (*.f64 x a) (patch (*.f64 x a) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) (patch #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) (patch #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) (patch #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* a x)) 1) (taylor -inf x) (#s(alt #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) (patch #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 4) (pow x 4))) (taylor -inf x) (#s(alt (*.f64 (*.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)) x) a) (patch (*.f64 (*.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)) x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x)))) (taylor -inf x) (#s(alt (*.f64 (*.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)) x) a) (patch (*.f64 (*.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)) x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (*.f64 (*.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)) x) a) (patch (*.f64 (*.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)) x) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) (taylor -inf x) (#s(alt (*.f64 (*.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)) x) a) (patch (*.f64 (*.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)) x) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 3) (pow x 4))) (taylor -inf x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) (taylor -inf x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) (taylor -inf x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) (taylor -inf x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 3) (pow x 3))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (* (pow a 2) (pow x 3))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) (taylor -inf x) (#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | ((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (* x a) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) a) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (* x a) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) a) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x)) |
| 3.0ms | a | @ | -inf | ((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (* x a) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) a) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x)) |
| 2.0ms | a | @ | inf | ((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (* x a) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) a) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x)) |
| 2.0ms | x | @ | inf | ((/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (/ (+ (* -1/2 a) (/ 1 x)) a) (+ (* -1/2 a) (/ 1 x)) (/ 1 (/ 1 (- (exp (* a x)) 1))) (* (* (+ (* 1/2 (* x a)) 1) a) x) (* (+ (* 1/2 (* x a)) 1) a) (+ (* 1/2 (* x a)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (/ 1 (/ 1 (- (exp (* a x)) 1))) (/ 1 (- (exp (* a x)) 1)) (- (exp (* a x)) 1) (* x a) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) a) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) x) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* a x)) 1/2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 4970 |
| 1 | 1393 | 4915 |
| 2 | 4678 | 4789 |
| 0 | 8542 | 4211 |
| 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)))))))) |
(/ 1 (* a x)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(/ 1 (* a x)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ 1 x) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 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 (* 1/2 (* a (pow x 2))))) |
(* 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 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(+ 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 (* 1/2 (* a (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 (* a x)) |
(/ (+ (* -1/2 a) (/ 1 x)) a) |
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a) |
(* 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)))))))) |
(* 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)))))))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(+ 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))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
-1/2 |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(* -1/2 a) |
(* a (- (/ 1 (* a x)) 1/2)) |
(* a (- (/ 1 (* a x)) 1/2)) |
(* a (- (/ 1 (* a x)) 1/2)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 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)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 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))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* a (+ (* 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)) |
(* 1/2 (* (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)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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) |
(* 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 4))) |
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) |
(* (pow a 3) (+ (* 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)))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
-1/2 |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(* -1/2 a) |
(* -1 (* a (- 1/2 (/ 1 (* a x))))) |
(* -1 (* a (- 1/2 (/ 1 (* a x))))) |
(* -1 (* a (- 1/2 (/ 1 (* a x))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 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)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 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))) |
(* 1/2 (* a x)) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -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)) |
(* 1/2 (* (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)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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) |
(* 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 4))) |
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) 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)))) |
(* 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 (* a x)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/ 1 (* a x)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (* a x))) x) |
(/ (+ 1 (* -1/2 (* a x))) x) |
(/ (+ 1 (* -1/2 (* a x))) 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 (* 1/2 (* (pow a 2) x)))) |
(* 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 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* a x))) |
(+ 1 (* 1/2 (* 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 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 (* a x)) |
(/ (+ (* -1/2 x) (/ 1 a)) x) |
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x) |
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 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)))))))) |
(* 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)))))))) |
(* 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)))))))) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))) |
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))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
-1/2 |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(* -1/2 a) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 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)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 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))) |
(* 1/2 (* a x)) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 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)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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) |
(* 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 4))) |
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2)))))) |
(* (pow x 4) (+ (* 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 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))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
-1/2 |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(- (/ 1 (* a x)) 1/2) |
(* -1/2 a) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 x)) |
(+ (* -1/2 a) (/ 1 x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 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)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* 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))))) |
(* 1/2 (* a x)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (- (* -1/2 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)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(/ 1 (- (exp (* a x)) 1)) |
(- (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) |
(* 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 4))) |
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) |
(* 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))))) |
| Outputs |
|---|
(* 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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(* a x) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(* a x) |
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(* a x) |
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(* a x) |
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x |
(+ x (* 1/2 (* a (pow x 2)))) |
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#s(literal 1 binary64) |
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(* 1/2 x) |
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#s(literal -1/2 binary64) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
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(* a x) |
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(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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a |
(+ a (* 1/2 (* (pow a 2) x))) |
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(+ a (* 1/2 (* (pow a 2) x))) |
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(+ a (* 1/2 (* (pow a 2) x))) |
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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)) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 x a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
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#s(literal 1 binary64) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
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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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(* x (+ 1 (* 1/2 (* a x)))) |
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(*.f64 #s(literal 1/2 binary64) x) |
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#s(literal -1/2 binary64) |
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
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(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
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(* 1/2 (* (pow a 2) x)) |
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(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(*.f64 (fma.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2))))) |
(*.f64 (fma.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 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)) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (/ 1 (* a x)) 1/2) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)) |
(- (/ 1 (* a x)) 1/2) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)) |
(- (/ 1 (* a x)) 1/2) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64)) |
(* -1/2 a) |
(*.f64 #s(literal -1/2 binary64) a) |
(+ (* -1/2 a) (/ 1 x)) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 a) (/ 1 x)) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1/2 a) (/ 1 x)) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) 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)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) x) |
(* 1/2 (* a x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x a)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) 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)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x)) 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 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) |
(/ 1 (- (exp (* a x)) 1)) |
(/.f64 #s(literal 1 binary64) (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)) 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)) |
(* 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)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) 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 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 a x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 a (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3)))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) a (/.f64 (fma.f64 (neg.f64 a) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3))))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) a) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2))))) |
(*.f64 (*.f64 a (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) a (/.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 273 |
| 0 | 62 | 265 |
| 1 | 240 | 265 |
| 2 | 1573 | 265 |
| 0 | 8237 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a))) |
#s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) a) |
(fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(*.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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a) |
(*.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)) x) |
(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 (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) |
| Outputs |
|---|
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Compiled 25 685 to 3 013 computations (88.3% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 200 | 5 | 1 205 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 202 | 17 | 1 219 |
| Status | Accuracy | Program |
|---|---|---|
| 65.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) | |
| 68.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 a) (/ 1 x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) a #s(literal 1 binary64)) x)) a))) | |
| 70.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) | |
| 9.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) | |
| ✓ | 24.2% | (-.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)) |
| ✓ | 23.1% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 24.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 4.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) | |
| 6.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) | |
| ✓ | 22.8% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 65.4% | #s(approx (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
| ✓ | 66.5% | #s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
| ✓ | 65.6% | #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))) |
| ✓ | 66.6% | #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))) |
| ✓ | 65.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
| ✓ | 65.6% | #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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) |
Compiled 483 to 272 computations (43.7% 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) |
(/.f64 #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)))) |
#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)) |
#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 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) 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)) (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(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) |
#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 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 a) (/ 1 x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) a #s(literal 1 binary64)) x)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 7.0ms | (exp.f64 (*.f64 a x)) |
| 7.0ms | a |
| 7.0ms | x |
| 7.0ms | (*.f64 a x) |
| 6.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 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 15 to 17 computations (-13.3% 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) |
(/.f64 #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)))) |
#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)) |
#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 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) 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)) (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(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal 1 binary64) 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 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)) |
#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 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 #s(approx (+ (* -1/2 a) (/ 1 x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) a #s(literal 1 binary64)) x)) a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) (/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 #s(literal 1 binary64) a)) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) |
5 calls:
| 29.0ms | (exp.f64 (*.f64 a x)) |
| 7.0ms | a |
| 7.0ms | x |
| 6.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 1 | a |
| 70.7% | 1 | x |
| 70.7% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.7% | 1 | (exp.f64 (*.f64 a x)) |
| 70.7% | 1 | (*.f64 a x) |
Compiled 15 to 17 computations (-13.3% 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* a x)) 1) (*.f64 x a)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
5 calls:
| 7.0ms | (exp.f64 (*.f64 a x)) |
| 4.0ms | a |
| 4.0ms | x |
| 4.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 1 | a |
| 66.5% | 1 | x |
| 71.6% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.6% | 2 | (exp.f64 (*.f64 a x)) |
| 73.3% | 3 | (*.f64 a x) |
Compiled 15 to 17 computations (-13.3% 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #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 (/ 1 (/ 1 (- (exp (* a x)) 1))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))) |
3 calls:
| 3.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 2.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.6% | 2 | (exp.f64 (*.f64 a x)) |
| 71.6% | 2 | (*.f64 a x) |
Compiled 13 to 13 computations (0% 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
3 calls:
| 6.0ms | (*.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 |
|---|---|---|
| 71.2% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.2% | 2 | (exp.f64 (*.f64 a x)) |
| 71.2% | 2 | (*.f64 a x) |
Compiled 13 to 13 computations (0% 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)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 2.0ms | x |
| 2.0ms | a |
| 2.0ms | (*.f64 a x) |
| 2.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 2.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 1 | a |
| 66.5% | 1 | x |
| 66.5% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 66.5% | 1 | (exp.f64 (*.f64 a x)) |
| 66.5% | 1 | (*.f64 a x) |
Compiled 15 to 17 computations (-13.3% 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:
| 2.0ms | x |
| 1.0ms | a |
| 1.0ms | (*.f64 a x) |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.8% | 1 | a |
| 22.8% | 1 | x |
| 22.8% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 22.8% | 1 | (exp.f64 (*.f64 a x)) |
| 22.8% | 1 | (*.f64 a x) |
Compiled 15 to 17 computations (-13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -126.11986249405174 | -3.5883670238369595e-13 |
| 0.0ms | -4.148275584261696e+115 | -5.144906001435843e+111 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -126.11986249405174 | -3.5883670238369595e-13 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -126.11986249405174 | -3.5883670238369595e-13 |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 246 |
| 1 | 76 | 246 |
| 2 | 84 | 246 |
| 3 | 90 | 246 |
| 4 | 98 | 246 |
| 5 | 110 | 246 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 a x) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 a x) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a))))) |
(if (<=.f64 (*.f64 a x) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (* (+ (* 1/2 (* x a)) 1) a) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 a x))))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 x a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.f64 x a))) |
(if (<=.f64 (*.f64 a x) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (exp (* a x)) 1)) #s(approx (/ (+ (* -1/2 a) (/ 1 x)) a) #s(literal -1/2 binary64)))) #s(approx (- (exp (* a x)) 1) (*.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 3830 |
| 1 | 1112 | 3778 |
| 2 | 3837 | 3654 |
| 0 | 8106 | 3236 |
| 0 | 413 | 4690 |
| 1 | 1379 | 4592 |
| 2 | 5005 | 4426 |
| 0 | 8242 | 3902 |
| 0 | 423 | 4970 |
| 1 | 1393 | 4915 |
| 2 | 4678 | 4789 |
| 0 | 8542 | 4211 |
| 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 | 29 | 183 |
| 0 | 51 | 179 |
| 1 | 205 | 179 |
| 2 | 1384 | 179 |
| 0 | 8355 | 179 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 274 to 169 computations (38.3% saved)
(sort a x)
Compiled 258 to 128 computations (50.4% saved)
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