
Time bar (total: 8.0s)
| 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)
| 329.0ms | 8 256× | 0 | valid |
| 75.0ms | 301× | 0 | invalid |
ival-mult: 89.0ms (51.2% of total)ival-expm1: 52.0ms (29.9% of total)ival->: 22.0ms (12.7% of total)exact: 7.0ms (4% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 1 | (4.57901171269582e-307 -5.82196051163127e-18) | 1 | (4.048302900873856e-41 3.078178632861777e+38) | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 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 | 131 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 130 | 1 |
| - | 1 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 130 | 1 | 0 |
| - | 1 | 0 | 124 |
| number | freq |
|---|---|
| 0 | 125 |
| 1 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-mult: 5.0ms (39.7% of total)ival-exp: 4.0ms (31.8% of total)ival-expm1: 3.0ms (23.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 42× | sub-neg |
| 40× | exp-sum |
| 24× | exp-prod |
| 24× | +-commutative |
| 18× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 42 | 36 |
| 2 | 73 | 34 |
| 3 | 108 | 34 |
| 4 | 141 | 34 |
| 5 | 165 | 34 |
| 6 | 204 | 34 |
| 7 | 226 | 34 |
| 8 | 240 | 34 |
| 9 | 251 | 34 |
| 10 | 252 | 34 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 17 | 6 |
| 2 | 20 | 6 |
| 0 | 20 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 a x)) |
(sort a x)
Compiled 8 to 6 computations (25% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | (exp.f64 (*.f64 a x)) | |
| cost-diff | 192 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 6× | lower-exp.f32 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
| 4× | lower-+.f64 |
| 4× | lower-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 20 | 16 |
| 0 | 20 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 a x)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a x) | |
| accuracy | 0.0078125 | (exp.f64 (*.f64 a x)) | |
| accuracy | 29.99024411691164 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 14.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-mult: 4.0ms (54.5% of total)ival-exp: 2.0ms (27.2% of total)ival-expm1: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))> |
#<alt (exp.f64 (*.f64 a x))> |
#<alt (*.f64 a x)> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1× | egg-herbie |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 3 428× | associate-*r* |
| 2 992× | lower-*.f64 |
| 2 992× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 432 |
| 1 | 195 | 432 |
| 2 | 526 | 424 |
| 3 | 1045 | 424 |
| 4 | 1672 | 424 |
| 5 | 1873 | 424 |
| 6 | 1900 | 424 |
| 7 | 1920 | 424 |
| 8 | 1934 | 424 |
| 9 | 1937 | 424 |
| 10 | 1937 | 424 |
| 11 | 2619 | 420 |
| 12 | 3094 | 420 |
| 13 | 4061 | 420 |
| 14 | 4062 | 420 |
| 15 | 4062 | 420 |
| 16 | 4190 | 420 |
| 17 | 4190 | 420 |
| 18 | 6071 | 416 |
| 19 | 6279 | 416 |
| 20 | 6321 | 416 |
| 21 | 6335 | 416 |
| 22 | 6335 | 416 |
| 23 | 6511 | 416 |
| 24 | 6849 | 416 |
| 25 | 6849 | 416 |
| 26 | 7408 | 416 |
| 0 | 7408 | 360 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
| 806× | lower-fma.f64 |
| 806× | lower-fma.f32 |
| 650× | lower-*.f32 |
| 648× | lower-*.f64 |
| 594× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 152 | 13 |
| 0 | 1346 | 11 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(expm1.f64 (*.f64 a x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
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(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) |
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(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a x))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (expm1.f64 (*.f64 a (+.f64 x x)))) (expm1.f64 (*.f64 a x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(exp.f64 (*.f64 a x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(log.f64 (exp.f64 (*.f64 a x))) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(*.f64 a x) |
(*.f64 a (log.f64 (exp.f64 x))) |
(*.f64 x a) |
Compiled 3 258 to 324 computations (90.1% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 12 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 171 | 13 | 184 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) | |
| 53.1% | (-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ▶ | 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 21.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 99.9% | (*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) | |
| ▶ | 100.0% | (expm1.f64 (*.f64 a x)) |
| 62.2% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| 63.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| 62.1% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) | |
| 68.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
Compiled 368 to 218 computations (40.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) | |
| cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 a x #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 | #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 a x) | |
| cost-diff | 0 | (expm1.f64 (*.f64 a x)) |
| 1 908× | lower-fma.f32 |
| 1 896× | lower-fma.f64 |
| 1 014× | lower-*.f32 |
| 1 004× | lower-*.f64 |
| 990× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 211 |
| 0 | 49 | 211 |
| 1 | 100 | 211 |
| 2 | 236 | 211 |
| 3 | 583 | 211 |
| 4 | 878 | 211 |
| 5 | 1029 | 211 |
| 6 | 1045 | 211 |
| 7 | 1060 | 211 |
| 8 | 1068 | 211 |
| 9 | 1069 | 211 |
| 10 | 1069 | 211 |
| 11 | 1347 | 211 |
| 12 | 1356 | 211 |
| 13 | 1369 | 211 |
| 14 | 1369 | 211 |
| 0 | 1369 | 211 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.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 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 |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
a |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) |
#s(literal 1/2 binary64) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
x |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
a |
(*.f64 a x) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (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 |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 a (fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
a |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) |
(fma.f64 (*.f64 a x) (*.f64 x #s(literal 1/2 binary64)) x) |
#s(literal 1/2 binary64) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(fma.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
x |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 a x)) |
a |
(*.f64 a x) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f64 a #s(literal 1/6 binary64)) | |
| accuracy | 1.2024031491782 | (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) | |
| accuracy | 20.77263434349923 | #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 1.6218058986162756 | (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) | |
| accuracy | 9.22374502024938 | (*.f64 a (*.f64 x x)) | |
| accuracy | 20.810794907914328 | #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 a x #s(literal 1 binary64)) | |
| accuracy | 20.81863796155169 | #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 20.89872968160575 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 a x) | |
| accuracy | 0.015625 | (expm1.f64 (*.f64 a x)) |
| 53.0ms | 256× | 0 | valid |
Compiled 153 to 25 computations (83.7% saved)
ival-mult: 21.0ms (56.6% of total)ival-add: 9.0ms (24.3% of total)const: 3.0ms (8.1% of total)ival-exp: 2.0ms (5.4% of total)ival-expm1: 2.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (expm1.f64 (*.f64 a x))> |
#<alt (*.f64 a x)> |
#<alt (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) #s(literal 1 binary64))> |
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))> |
#<alt (fma.f64 a x #s(literal 1 binary64))> |
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)))> |
#<alt (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x)> |
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)> |
#<alt (*.f64 a (*.f64 x x))> |
#<alt (*.f64 a #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt x> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 (* a x))))> |
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))> |
#<alt (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt a> |
#<alt (+ a (* 1/2 (* (pow a 2) x)))> |
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))> |
#<alt (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/2 (* (pow a 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))> |
#<alt (* 1/2 (* a (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6)) |
| 2.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6)) |
| 2.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6)) |
| 2.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6)) |
| 2.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (+ (* 1/2 (* a (* x x))) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a) (* a (* x x)) (* a 1/6)) |
| 1× | egg-herbie |
| 19 346× | lower-fma.f64 |
| 19 346× | lower-fma.f32 |
| 4 874× | lower-*.f64 |
| 4 874× | lower-*.f32 |
| 2 514× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 3180 |
| 1 | 715 | 3168 |
| 2 | 2472 | 3074 |
| 3 | 6716 | 3074 |
| 0 | 8082 | 2685 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ 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 |
(+ 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))))))) |
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))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* a (pow x 2))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(* 1/6 (* (pow a 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))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* 1/2 (* a (pow x 2))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 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))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 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)))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* 1/2 (* a x)))) |
(* 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 (* 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))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (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) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* 1/2 (* a (pow x 2))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(* 1/6 (* (pow a 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))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (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) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* 1/2 (* a (pow x 2))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 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)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 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)))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 x (*.f64 a a)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (*.f64 a a)) (fma.f64 a (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 a)))) |
(* -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 a) (fma.f64 (*.f64 a a) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 a)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
a |
(+ a (* 1/2 (* (pow a 2) x))) |
(fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) a) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
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(exp (* a x)) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
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(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
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(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 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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(- (exp (* a x)) 1) |
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(exp (* a x)) |
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(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
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(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a)) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 x (/.f64 a x))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a) (*.f64 x (/.f64 a x))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a 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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(exp (* a x)) |
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(exp (* a x)) |
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(exp (* a x)) |
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(exp (* a x)) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x))) (*.f64 x x))) |
(* -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 x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 x)))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(fma.f64 (neg.f64 (*.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(fma.f64 (neg.f64 (*.f64 a (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) x (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))))) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
| 5 564× | lower-fma.f32 |
| 5 552× | lower-fma.f64 |
| 3 972× | lower-/.f64 |
| 3 972× | lower-/.f32 |
| 3 694× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 179 |
| 0 | 49 | 179 |
| 1 | 221 | 179 |
| 2 | 1732 | 179 |
| 0 | 8356 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(*.f64 a x) |
(-.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 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)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) |
(*.f64 a (*.f64 x x)) |
(*.f64 a #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(expm1.f64 (*.f64 a x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))) |
(/.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a (+.f64 x x))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(*.f64 (expm1.f64 (*.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(log.f64 (exp.f64 (*.f64 a x))) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64)) |
(*.f64 a x) |
(*.f64 a (log.f64 (exp.f64 x))) |
(*.f64 x a) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) (/.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) |
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (fma.f64 a a (-.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (neg.f64 (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/216 binary64))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 a (*.f64 a x)))) (pow.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (-.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)))) (fma.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))) (-.f64 (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))) (fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a))) |
(/.f64 (-.f64 (*.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x)))))) (*.f64 (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))) (-.f64 (+.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a x))))) (*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)) |
(*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) #s(literal 1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) |
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) |
(*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))) |
(*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x (*.f64 a x)) |
(*.f64 (*.f64 a x) x) |
(*.f64 (*.f64 x x) a) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
Compiled 27 191 to 1 753 computations (93.6% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 898 | 16 | 914 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 900 | 27 | 927 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) | |
| ▶ | 99.8% | (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| 21.5% | (/.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)))) | |
| 53.1% | (-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 23.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64)) | |
| 21.3% | (-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64)) | |
| 21.5% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 23.3% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 4.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) | |
| 6.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) | |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 21.3% | (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) | |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| 67.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) | |
| ▶ | 62.2% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
| ▶ | 63.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
| ▶ | 68.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
Compiled 978 to 498 computations (49.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) | |
| cost-diff | 448 | (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) | |
| cost-diff | 0 | (*.f64 a (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 a (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) | |
| cost-diff | 0 | (*.f64 a (+.f64 x x)) | |
| cost-diff | 0 | (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) | |
| cost-diff | 192 | (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) | |
| cost-diff | 7232 | (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| 15 932× | lower-fma.f32 |
| 15 918× | lower-fma.f64 |
| 4 216× | lower-*.f32 |
| 4 190× | lower-*.f64 |
| 3 096× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 463 |
| 0 | 87 | 463 |
| 1 | 201 | 443 |
| 2 | 578 | 433 |
| 3 | 1752 | 433 |
| 4 | 3609 | 433 |
| 5 | 5222 | 428 |
| 6 | 7766 | 428 |
| 0 | 8123 | 409 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) |
(*.f64 a (+.f64 x x)) |
a |
(+.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 a (+.f64 x x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
a |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
a |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a x) |
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))) |
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) |
(expm1.f64 (*.f64 (*.f64 a x) #s(literal 6 binary64))) |
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a x) #s(literal 6 binary64)) |
(*.f64 a (+.f64 x x)) |
a |
(+.f64 x x) |
x |
#s(literal 3 binary64) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 a (+.f64 x x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x)) |
a |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) x) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x)) |
a |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(*.f64 a x) |
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(/.f64 (fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 x (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.223745020249382 | (*.f64 a (*.f64 x x)) | |
| accuracy | 14.872574373215368 | (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) | |
| accuracy | 20.81863796155169 | #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) | |
| accuracy | 29.7490138590767 | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) | |
| accuracy | 0.328125 | (*.f64 x #s(literal 1/24 binary64)) | |
| accuracy | 0.7374296324698018 | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| accuracy | 9.223745020249382 | (*.f64 a (*.f64 x x)) | |
| accuracy | 20.957703824658097 | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| accuracy | 0.25945519461939476 | (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.30859375 | (*.f64 a #s(literal 1/6 binary64)) | |
| accuracy | 9.223745020249382 | (*.f64 a (*.f64 x x)) | |
| accuracy | 20.38102284041894 | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) | |
| accuracy | 0 | (*.f64 a x) | |
| accuracy | 20.45471800889078 | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) | |
| accuracy | 0.01953125 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) | |
| accuracy | 0.1640625 | (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) | |
| accuracy | 0.26171875 | (*.f64 a (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.28125 | (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) |
| 89.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 395 to 48 computations (87.8% saved)
ival-mult: 29.0ms (43.2% of total)ival-add: 12.0ms (17.9% of total)ival-exp: 7.0ms (10.4% of total)const: 6.0ms (8.9% of total)ival-sub: 6.0ms (8.9% of total)ival-div: 3.0ms (4.5% of total)ival-expm1: 3.0ms (4.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))> |
#<alt (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))> |
#<alt (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)))> |
#<alt (*.f64 a (+.f64 x x))> |
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a x))> |
#<alt (*.f64 a x)> |
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))> |
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))> |
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)> |
#<alt (*.f64 a (*.f64 x x))> |
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))> |
#<alt (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))> |
#<alt (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)> |
#<alt (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))> |
#<alt (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))> |
#<alt (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))> |
#<alt (*.f64 a (*.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))> |
#<alt (*.f64 a #s(literal 1/6 binary64))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))> |
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))> |
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* a (+ (* 6 x) (* 18 (* a (pow x 2)))))> |
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3)))))))> |
#<alt (* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4)))))))))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt x> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))> |
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt x> |
#<alt (+ x (* 1/2 (* a (pow x 2))))> |
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))> |
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a x)))> |
#<alt (+ 1 (* a (- (* a (pow x 2)) x)))> |
#<alt (+ 1 (* a (- (* a (pow x 2)) x)))> |
#<alt (* a x)> |
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))> |
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))> |
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))> |
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))> |
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt 2> |
#<alt (+ 2 (* 2 (* a x)))> |
#<alt (+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))> |
#<alt (+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/24 (* (pow a 4) (pow x 4)))> |
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))> |
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))> |
#<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))))))> |
#<alt (* 1/24 (* (pow a 3) (pow x 4)))> |
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))> |
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))> |
#<alt (* (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))))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))> |
#<alt (* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* a (+ x (/ 1 a)))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/24 (* (pow a 4) (pow x 4)))> |
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))> |
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))> |
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))> |
#<alt (* 1/24 (* (pow a 3) (pow x 4)))> |
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))> |
#<alt (* -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)))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* 1/6 a)> |
#<alt (* a x)> |
#<alt (* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))> |
#<alt (* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))> |
#<alt (* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* x (+ (* 6 a) (* 18 (* (pow a 2) x))))> |
#<alt (* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x))))))> |
#<alt (* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x))))))))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))> |
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (* a x))))> |
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))> |
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a x)))> |
#<alt (+ 1 (* x (- (* (pow a 2) x) a)))> |
#<alt (+ 1 (* x (- (* (pow a 2) x) a)))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt 2> |
#<alt (+ 2 (* 2 (* a x)))> |
#<alt (+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))> |
#<alt (+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/24 (* (pow a 4) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))> |
#<alt (* (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))))))> |
#<alt (* 1/24 (* (pow a 3) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))> |
#<alt (* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (* 2 (* a x))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/24 (* (pow a 4) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))> |
#<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))))> |
#<alt (* 1/24 (* (pow a 3) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24)) |
| 6.0ms | a | @ | inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24)) |
| 5.0ms | a | @ | -inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24)) |
| 5.0ms | x | @ | inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24)) |
| 5.0ms | x | @ | 0 | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (* (* a (+ x x)) 3) (- (exp (* (* a (+ x x)) 3)) 1) (* a (+ x x)) (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* x (* a 1/6)) 1/2)) x) (* a (* x x)) (- (exp (* a x)) 1) (* a (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x)) (+ (* (* a (* x x)) (+ (* (* a x) (+ (* a (* x 1/24)) 1/6)) 1/2)) x) (- (+ (* (* a x) (* a x)) 1) (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* (* a x) (* a (* a (* x x)))) 1) (- (+ (* (* a x) (* a x)) 1) (* a x))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* a 1/6) (* x 1/24)) |
| 1× | egg-herbie |
| 13 602× | lower-fma.f64 |
| 13 602× | lower-fma.f32 |
| 7 220× | lower-*.f64 |
| 7 220× | lower-*.f32 |
| 3 522× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 5373 |
| 1 | 1801 | 5252 |
| 2 | 6386 | 5220 |
| 0 | 8357 | 4725 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* a (+ (* 6 x) (* 18 (* a (pow x 2))))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3))))))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4))))))))) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 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)))))))) |
(* 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 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 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)))))))) |
(* 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 (* a x))) |
(+ 1 (* a (- (* a (pow x 2)) x))) |
(+ 1 (* a (- (* a (pow x 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)))))))) |
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 (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
2 |
(+ 2 (* 2 (* a x))) |
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))) |
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 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 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)))))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a))) |
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x 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)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 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 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))))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* a x) |
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* x (+ (* 6 a) (* 18 (* (pow a 2) x)))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x)))))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x)))))))) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 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)))))))) |
(* 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 (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (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 (* a x))) |
(+ 1 (* x (- (* (pow a 2) x) a))) |
(+ 1 (* x (- (* (pow a 2) x) a))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
2 |
(+ 2 (* 2 (* a x))) |
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))) |
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 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) (+ (* 1/24 (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)))))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x))) |
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(* 2 (* a x)) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 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 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)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) x)) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64)))))))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 3 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27/2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 5/2 binary64) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 9/2 binary64)))))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64)))))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64))))))))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 27/2 binary64))))))))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* a (+ (* 6 x) (* 18 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 18 binary64))) (*.f64 x #s(literal 6 binary64)))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64)))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64)))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(-.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+ 1 (* a (- (* a (pow x 2)) x))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (pow x 2)) x))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
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(*.f64 a (*.f64 x #s(literal 3 binary64))) |
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(*.f64 a (*.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 a x) a) #s(literal 2 binary64)) |
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/3 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a (*.f64 a x))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
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(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (*.f64 a a) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) a) (/.f64 x (*.f64 a a))))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
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(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) |
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(* 1/24 (* (pow a 3) (pow x 4))) |
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(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a)))) |
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(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (*.f64 x x) a)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))))) |
(* (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)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) a) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 a a)) (/.f64 x (*.f64 a (*.f64 a a))))))) |
(* (pow a 2) (pow x 2)) |
(*.f64 x (*.f64 a (*.f64 a x))) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a))))) |
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a)))))) |
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a)))))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(- (exp (* 6 (* a x))) 1) |
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(- (exp (* 6 (* a x))) 1) |
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(- (exp (* 6 (* a x))) 1) |
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(* 1/24 (* (pow a 3) (pow x 4))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4))))) |
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4))))) |
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(* -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))))) |
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(* (pow a 2) (pow x 2)) |
(*.f64 x (*.f64 a (*.f64 a x))) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a))))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a)))))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a)))))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
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(fma.f64 a x #s(literal 1 binary64)) |
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(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x)))))) |
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(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x)))))))) |
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(* 2 (* a x)) |
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(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* 2 (* a x)) |
(*.f64 x (*.f64 a #s(literal 2 binary64))) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
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(* a x) |
(*.f64 a x) |
(* a x) |
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(* a x) |
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(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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x |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* a (pow x 2)) |
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(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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x |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) |
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal 1/6 binary64) (*.f64 a a))) (*.f64 a #s(literal 1/2 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(-.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+ 1 (* x (- (* (pow a 2) x) a))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* (pow a 2) x) a))) |
(fma.f64 a (fma.f64 a (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
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(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 x (*.f64 x (*.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 (*.f64 x x) (fma.f64 a #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 a a)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
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(* 3 (* a x)) |
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(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 a (*.f64 a x) a) #s(literal 2 binary64)) |
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a #s(literal 2 binary64)))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (*.f64 a #s(literal 2 binary64))))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
| 6 248× | lower-fma.f32 |
| 6 234× | lower-fma.f64 |
| 4 268× | lower-*.f32 |
| 4 242× | lower-*.f64 |
| 3 064× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 302 |
| 0 | 87 | 296 |
| 1 | 372 | 254 |
| 2 | 3255 | 252 |
| 0 | 8863 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) |
(expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) |
(*.f64 a (+.f64 x x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 a (*.f64 x x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
(*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64))) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(expm1.f64 (*.f64 a x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 a x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))) |
(/.f64 (expm1.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (expm1.f64 (*.f64 a x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 a x))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -3 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) #s(literal -2 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
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(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 9 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 9 binary64)) #s(literal 1 binary64)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
Compiled 71 687 to 4 614 computations (93.6% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 982 | 9 | 1 991 |
| Fresh | 2 | 14 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 988 | 30 | 2 018 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) | |
| ▶ | 99.7% | (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| 21.5% | (/.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)))) | |
| 53.1% | (-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ▶ | 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.9% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) | |
| ✓ | 23.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
| ▶ | 22.7% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64)) | |
| ▶ | 21.5% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.3% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 4.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) | |
| 6.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) | |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 21.3% | (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) | |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| 63.0% | #s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) | |
| 67.2% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) | |
| 67.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) | |
| 67.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) | |
| 68.1% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) | |
| ▶ | 68.1% | #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
| ✓ | 68.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
Compiled 1 131 to 571 computations (49.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 448 | (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)) | |
| cost-diff | 0 | #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 a (*.f64 x #s(literal 6 binary64))) | |
| cost-diff | 0 | #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) | |
| cost-diff | 0 | (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) | |
| cost-diff | 0 | (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| 19 390× | lower-fma.f32 |
| 19 376× | lower-fma.f64 |
| 3 146× | lower-+.f32 |
| 3 134× | lower-+.f64 |
| 3 054× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 537 |
| 0 | 107 | 539 |
| 1 | 222 | 539 |
| 2 | 527 | 505 |
| 3 | 1287 | 505 |
| 4 | 2674 | 505 |
| 5 | 5133 | 505 |
| 6 | 7137 | 505 |
| 0 | 8062 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
a |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 a (+.f64 x x))) |
(*.f64 a (+.f64 x x)) |
(+.f64 x x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)) |
a |
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x) |
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 a x) |
x |
(*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 a x) |
a |
x |
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 a x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
x |
(*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) |
a |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) |
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64))))) |
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* a (+ x x)) 3) (*.f64 x (*.f64 a #s(literal 6 binary64)))) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(*.f64 x (*.f64 a #s(literal 6 binary64))) |
a |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))) |
(+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) |
(+.f64 (exp.f64 (*.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 a (+.f64 x x))) |
(*.f64 a (+.f64 x x)) |
(+.f64 x x) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) |
(exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.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)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))) |
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) |
a |
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x) |
(fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) |
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 x (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 a x) |
x |
(*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #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) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) |
#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(fma.f64 a (fma.f64 a (*.f64 x (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 a (*.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 a x) |
a |
x |
(*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 a x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 a x)) (*.f64 a (*.f64 a x)) #s(literal 1 binary64)) |
x |
(*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) |
(*.f64 x (*.f64 a (*.f64 a (*.f64 a x)))) |
a |
(*.f64 a (*.f64 a (*.f64 x x))) |
(*.f64 a (*.f64 x (*.f64 a x))) |
(*.f64 a (*.f64 x x)) |
(*.f64 x (*.f64 a x)) |
(*.f64 x x) |
#s(literal 1 binary64) |
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 a (*.f64 x (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(neg.f64 x) |
(fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 x (*.f64 a x)) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.22374502024938 | (*.f64 a (*.f64 x x)) | |
| accuracy | 14.872574373215368 | (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) | |
| accuracy | 20.81863796155169 | #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 0.30859375 | (*.f64 a #s(literal 1/6 binary64)) | |
| accuracy | 1.2063093991782 | (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) | |
| accuracy | 20.77263434349923 | #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) | |
| accuracy | 0.25945519461939476 | (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 20.38102284041894 | #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) | |
| accuracy | 0 | (*.f64 a x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| accuracy | 20.81863796155169 | #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) | |
| accuracy | 29.99024411691164 | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) | |
| accuracy | 0.1640625 | (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) | |
| accuracy | 0.265625 | (*.f64 a (*.f64 x #s(literal 6 binary64))) | |
| accuracy | 0.265625 | (*.f64 a (*.f64 x #s(literal 3 binary64))) |
| 90.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 428 to 53 computations (87.6% saved)
ival-mult: 34.0ms (52.3% of total)ival-add: 13.0ms (20% of total)ival-exp: 5.0ms (7.7% of total)const: 5.0ms (7.7% of total)ival-div: 3.0ms (4.6% of total)ival-expm1: 3.0ms (4.6% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64)))))))> |
#<alt (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))> |
#<alt #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))> |
#<alt (*.f64 a (*.f64 x #s(literal 6 binary64)))> |
#<alt (+.f64 (*.f64 a x) #s(literal 1 binary64))> |
#<alt (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))> |
#<alt (*.f64 a x)> |
#<alt (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)> |
#<alt #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)))> |
#<alt (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))> |
#<alt (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))> |
#<alt (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))> |
#<alt (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))))> |
#<alt (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))> |
#<alt (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))> |
#<alt (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64))> |
#<alt #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))> |
#<alt (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))> |
#<alt (*.f64 a (*.f64 x #s(literal 3 binary64)))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))> |
#<alt (*.f64 #s(literal 1/6 binary64) x)> |
#<alt (*.f64 a #s(literal 1/6 binary64))> |
#<alt (*.f64 a (*.f64 x x))> |
| Outputs |
|---|
#<alt (* a x)> |
#<alt (* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))> |
#<alt (* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))> |
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#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt (* 1/2 (* (pow a 2) x))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* a x)))> |
#<alt (+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))> |
#<alt (+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))> |
#<alt (* a x)> |
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))> |
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))> |
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))> |
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* a x))> |
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt 2> |
#<alt (+ 2 (* 2 (* a x)))> |
#<alt (+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))> |
#<alt (+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* x (+ a (/ 1 x)))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (- (exp (* 6 (* a x))) 1)> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* 6 (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* a x)> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* 1/6 (* (pow a 2) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))> |
#<alt (* 1/6 (* (pow a 3) (pow x 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* 1/6 (* (pow a 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))> |
#<alt (* (pow a 2) (pow x 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)))> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (- (exp (* a x)) 1)> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (exp (* a x))> |
#<alt (* a x)> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (* 3 (* a x))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (+ 1 (exp (* 2 (* a x))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
#<alt (* a (pow x 2))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x))) |
| 3.0ms | a | @ | -inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x))) |
| 3.0ms | x | @ | -inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x))) |
| 3.0ms | x | @ | inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x))) |
| 3.0ms | a | @ | inf | ((/ (- (exp (* (* a (+ x x)) 3)) 1) (* (+ (exp (* a x)) (+ 1 (exp (* a (+ x x))))) (+ 1 (exp (* a (* x 3)))))) (- (exp (* (* a (+ x x)) 3)) 1) (* (* a (+ x x)) 3) (* a (* x 6)) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (* a x) (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x) (- (exp (* a x)) 1) (* a (+ (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) x)) (* (* a x) (* x (+ (* a (* 1/6 x)) 1/2))) (+ (* (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) x) (+ (* a x) 1)) (- (exp (* a x)) 1) (exp (* a x)) (* (* a x) (* a (+ (* x (* a 1/6)) 1/2))) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (- (exp (* a x)) 1) (exp (* a x)) (/ (+ (* x (* a (* a (* a (* x x))))) 1) (+ (* a (neg x)) (+ (* a (* a (* x x))) 1))) (* a (* x 3)) (+ 1 (exp (* a (+ x x)))) (* 1/6 x) (* a 1/6) (* a (* x x))) |
| 1× | egg-herbie |
| 12 808× | lower-fma.f64 |
| 12 808× | lower-fma.f32 |
| 7 878× | lower-*.f64 |
| 7 878× | lower-*.f32 |
| 2 496× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 5926 |
| 1 | 1661 | 5800 |
| 2 | 5914 | 5798 |
| 0 | 8935 | 5252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(* 6 (* a x)) |
(* a (+ (* 6 x) (* 18 (* a (pow x 2))))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3))))))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4))))))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(* 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)))))) |
(* 1/2 (* a (pow x 2))) |
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(* 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))))))) |
(* 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))))))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
1 |
(+ 1 (* -1 (* a x))) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(+ 1 (* a (+ (* -1 x) (* 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 |
(+ 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 (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
2 |
(+ 2 (* 2 (* a x))) |
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))) |
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* 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) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 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)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* a (+ x (/ 1 a))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* 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) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* (pow a 2) (pow x 2)) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* 1/6 a) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a x) |
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(* 6 (* a x)) |
(* x (+ (* 6 a) (* 18 (* (pow a 2) x)))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x)))))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x)))))))) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(+ 1 (* a x)) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(* 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)))))) |
(* 1/2 (* a (pow x 2))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
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))))))) |
(* 1/2 (* (pow a 2) x)) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
1 |
(+ 1 (* -1 (* a x))) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(* a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
2 |
(+ 2 (* 2 (* a x))) |
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))) |
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ 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)))))) |
(- (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 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)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* x (+ a (/ 1 x))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(- (exp (* 6 (* a x))) 1) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* 6 (* a x)) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* a x) |
(* a x) |
(* a x) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(* 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))))) |
(- (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 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)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow a 2) (pow x 2)) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(exp (* a x)) |
(* a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(* 3 (* a x)) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(+ 1 (exp (* 2 (* a x)))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
(* a (pow x 2)) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* a (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) x)) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 27/2 binary64)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (*.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))) x)) |
(* a (+ x (* a (- (+ (* 3 (pow x 2)) (* a (- (+ (* 6 (pow x 3)) (* a (- (* 9 (pow x 4)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))) (+ (* 3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (+ (* 9/2 (* (pow x 2) (+ x (* 2 x)))) (* 27/2 (pow x 3))))))) (+ (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 6 (pow x 3)) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))))))) (+ (* 1/6 (* x (+ (* 2 (+ (* 1/2 (pow x 2)) (* 2 (pow x 2)))) (+ (* 3 (* x (+ x (* 2 x)))) (* 27/2 (pow x 2)))))) (* 1/6 (* (+ (* 2 (+ x (* 2 x))) (* 9 x)) (- (* 3 (pow x 2)) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x))))))))))) (* 1/6 (* x (+ (* 2 (+ x (* 2 x))) (* 9 x)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 3 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 9/2 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 5/2 binary64)))))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 27/2 binary64)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (*.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 27/2 binary64)) (*.f64 (*.f64 x x) #s(literal 5 binary64))))))) (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 27/2 binary64)) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) (*.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))) x)) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* a (+ (* 6 x) (* 18 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 18 binary64))) (*.f64 x #s(literal 6 binary64)))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* 36 (* a (pow x 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (*.f64 (*.f64 x (*.f64 x x)) #s(literal 36 binary64)) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64)))) |
(* a (+ (* 6 x) (* a (+ (* 18 (pow x 2)) (* a (+ (* 36 (pow x 3)) (* 54 (* a (pow x 4))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 54 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 36 binary64))) (*.f64 x (*.f64 x #s(literal 18 binary64)))) (*.f64 x #s(literal 6 binary64)))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 a #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) |
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 a #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
(* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 a #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(-.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1 x) (* a (pow x 2))))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 a #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 x x) x)) #s(literal 2 binary64)) |
(+ 2 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))) |
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(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) a)) (*.f64 a (*.f64 a a))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a)) a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) a)) a)) (*.f64 a (*.f64 a (neg.f64 a)))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) a))))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2))) |
(*.f64 a (*.f64 a (fma.f64 x x (/.f64 x (neg.f64 a))))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) a)) a))) |
(* (pow a 2) (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2))) |
(*.f64 (*.f64 a a) (-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) a)) a))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* 1/6 a) |
(*.f64 a #s(literal 1/6 binary64)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* x (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
(*.f64 x (fma.f64 x (fma.f64 a (*.f64 #s(literal -1/6 binary64) (fma.f64 a #s(literal 9 binary64) (*.f64 a #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 a a))) a)) |
(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
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(* x (+ a (* x (- (+ (* 3 (pow a 2)) (* x (- (+ (* 6 (pow a 3)) (* x (- (* 9 (pow a 4)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))) (+ (* 3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (+ (* 9/2 (* (pow a 2) (+ a (* 2 a)))) (* 27/2 (pow a 3))))))) (+ (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 6 (pow a 3)) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))))))) (+ (* 1/6 (* a (+ (* 2 (+ (* 1/2 (pow a 2)) (* 2 (pow a 2)))) (+ (* 3 (* a (+ a (* 2 a)))) (* 27/2 (pow a 2)))))) (* 1/6 (* (+ (* 2 (+ a (* 2 a))) (* 9 a)) (- (* 3 (pow a 2)) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a))))))))))) (* 1/6 (* a (+ (* 2 (+ a (* 2 a))) (* 9 a)))))))) |
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(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* x (+ (* 6 a) (* 18 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 18 binary64))) (*.f64 x #s(literal 6 binary64)))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* 36 (* (pow a 3) x)))))) |
(*.f64 x (fma.f64 x (fma.f64 a (*.f64 a #s(literal 18 binary64)) (*.f64 x (*.f64 #s(literal 36 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a #s(literal 6 binary64)))) |
(* x (+ (* 6 a) (* x (+ (* 18 (pow a 2)) (* x (+ (* 36 (pow a 3)) (* 54 (* (pow a 4) x)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 54 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 36 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a (*.f64 a #s(literal 18 binary64)))) (*.f64 a #s(literal 6 binary64)))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
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(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* a x) |
(*.f64 a x) |
x |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) |
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
(* (pow x 2) (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 a (*.f64 x (*.f64 a #s(literal 1/2 binary64)))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
(* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 a (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* a x))) |
(-.f64 #s(literal 1 binary64) (*.f64 a x)) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x)))) |
(fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x)) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 a (*.f64 a #s(literal 1/2 binary64)))) a)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 a (fma.f64 a (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 a (fma.f64 x (*.f64 x (fma.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (*.f64 a #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (* a x))) |
(fma.f64 a (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 x x) x)) #s(literal 2 binary64)) |
(+ 2 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 a (*.f64 a a))))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* a (pow x 2)) |
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(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
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(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))) |
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(- (exp (* 6 (* a x))) 1) |
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(- (exp (* 6 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(- (exp (* 6 (* a x))) 1) |
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(*.f64 a (*.f64 x #s(literal 6 binary64))) |
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(*.f64 a (*.f64 x #s(literal 6 binary64))) |
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(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* a x) |
(*.f64 a x) |
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(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
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(- (exp (* a x)) 1) |
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(- (exp (* a x)) 1) |
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(exp (* a x)) |
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(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* a x) |
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(*.f64 a x) |
(* a x) |
(*.f64 a x) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (fma.f64 a (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(- (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 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x)))) |
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(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) x) (/.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2)))) |
(fma.f64 x (*.f64 x (/.f64 a (neg.f64 x))) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
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(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
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(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
(/.f64 (expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 a x)))))) |
(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(/ (- (exp (* 6 (* a x))) 1) (* (+ 1 (exp (* 3 (* a x)))) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))) |
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(- (exp (* 6 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(- (exp (* 6 (* a x))) 1) |
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(- (exp (* 6 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(- (exp (* 6 (* a x))) 1) |
(expm1.f64 (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(* 6 (* a x)) |
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(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
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(* 6 (* a x)) |
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(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(* 6 (* a x)) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
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(exp (* a x)) |
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(exp (* a x)) |
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(exp (* a x)) |
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(* 1/6 (* (pow a 2) (pow x 3))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 a (*.f64 a #s(literal 1/6 binary64)))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) x))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (*.f64 a #s(literal 1/2 binary64)) (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 a (*.f64 a a)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 a (*.f64 a (*.f64 a #s(literal 1/6 binary64))) (/.f64 (*.f64 a (*.f64 a #s(literal 1/2 binary64))) x))) |
(* (pow a 2) (pow x 2)) |
(*.f64 a (*.f64 a (*.f64 x x))) |
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 a x))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (+.f64 a (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 a a) (/.f64 (+.f64 a (/.f64 #s(literal -1 binary64) x)) x))) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(exp (* a x)) |
(exp.f64 (*.f64 a x)) |
(* a x) |
(*.f64 a x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(* 3 (* a x)) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (exp (* 2 (* a x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 2 binary64))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
(* a (pow x 2)) |
(*.f64 a (*.f64 x x)) |
| 6 490× | lower-fma.f32 |
| 6 476× | lower-fma.f64 |
| 4 080× | lower-*.f32 |
| 4 044× | lower-*.f64 |
| 3 230× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 362 |
| 0 | 107 | 301 |
| 1 | 415 | 289 |
| 2 | 3314 | 283 |
| 0 | 8973 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) |
#s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) |
(*.f64 a (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
(*.f64 a x) |
(+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x)) |
(*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64))) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) |
(*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 a (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(-.f64 (/.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) |
(fma.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(neg.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))) |
(/.f64 (neg.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(/.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))))) |
(/.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))) |
(/.f64 (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal 1 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 (exp.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))))))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) |
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(fma.f64 (*.f64 a (*.f64 x x)) (*.f64 a #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x))) |
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(/.f64 (fma.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 (-.f64 (*.f64 a x) (*.f64 a x)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 (*.f64 a x) (*.f64 a x)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a x) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a x) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (*.f64 a x) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 a #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) a))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))))))) (*.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x)))))) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 a x) (*.f64 a x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 a (*.f64 x x))) x) (*.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 x x)) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a (*.f64 a (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 a x) (*.f64 a x)))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) a)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) |
(*.f64 a (+.f64 x x)) |
(*.f64 a (*.f64 a (+.f64 x x))) |
(*.f64 a (*.f64 x #s(literal 3 binary64))) |
(*.f64 a (log.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 x (+.f64 a a)) |
(*.f64 x (*.f64 a #s(literal 3 binary64))) |
(*.f64 x (*.f64 #s(literal 3 binary64) a)) |
(*.f64 x (log.f64 (exp.f64 (+.f64 a a)))) |
(*.f64 x (log.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))) |
(*.f64 #s(literal 3 binary64) (*.f64 a x)) |
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 x x))) |
(*.f64 (*.f64 a x) #s(literal 3 binary64)) |
(*.f64 (+.f64 x x) a) |
(*.f64 (+.f64 x x) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) a) |
(*.f64 (*.f64 x #s(literal 3 binary64)) (log.f64 (exp.f64 (+.f64 a a)))) |
(*.f64 #s(literal 2 binary64) (*.f64 a x)) |
(*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 x x))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) a) |
(*.f64 (*.f64 a #s(literal 3 binary64)) x) |
(*.f64 (*.f64 a #s(literal 2 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 x x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (*.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 a #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) a) |
(*.f64 a (*.f64 x x)) |
(*.f64 x (*.f64 a x)) |
(*.f64 (*.f64 a x) x) |
(*.f64 (*.f64 x x) a) |
Compiled 48 879 to 3 312 computations (93.2% saved)
31 alts after pruning (20 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 535 | 3 | 1 538 |
| Fresh | 1 | 17 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 537 | 31 | 1 568 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) | |
| ✓ | 99.7% | (/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| 21.5% | (/.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)))) | |
| 53.1% | (-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| ✓ | 53.1% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| ✓ | 21.3% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 21.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.9% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) | |
| ✓ | 23.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
| 22.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 21.5% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.3% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64)) | |
| 22.7% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) | |
| 23.5% | (-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) | |
| 4.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) | |
| 6.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) | |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 21.3% | (*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) | |
| ✓ | 100.0% | (expm1.f64 (*.f64 a x)) |
| 63.0% | #s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) | |
| 67.2% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) | |
| 67.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) | |
| 67.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) | |
| 68.1% | #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) | |
| ✓ | 68.1% | #s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
| ✓ | 68.0% | #s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
Compiled 1 413 to 492 computations (65.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (*.f64 a (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (expm1.f64 #s(approx (* (* a (+ x x)) 3) (*.f64 a (*.f64 x #s(literal 6 binary64))))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (*.f64 x #s(literal 3 binary64))))))) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
5 calls:
| 32.0ms | (exp.f64 (*.f64 a x)) |
| 14.0ms | x |
| 11.0ms | a |
| 11.0ms | (*.f64 a x) |
| 9.0ms | (-.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 25 to 17 computations (32% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x)))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) |
5 calls:
| 12.0ms | (*.f64 a x) |
| 11.0ms | x |
| 10.0ms | a |
| 8.0ms | (exp.f64 (*.f64 a x)) |
| 8.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 2 | a |
| 68.1% | 1 | x |
| 71.3% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.3% | 2 | (exp.f64 (*.f64 a x)) |
| 71.3% | 2 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 x x))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) #s(approx (+ (* a (neg x)) (+ (* a (* a (* x x))) 1)) (fma.f64 a (-.f64 (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 a (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 x (*.f64 a (*.f64 a (*.f64 (*.f64 a x) x))) #s(literal 1 binary64)) (fma.f64 a (neg.f64 x) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a x) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x))) |
3 calls:
| 10.0ms | (*.f64 a x) |
| 7.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 7.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.9% | 2 | (exp.f64 (*.f64 a x)) |
| 70.9% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a x)) (*.f64 (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 a x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a)) |
3 calls:
| 10.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 5.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.9% | 2 | (exp.f64 (*.f64 a x)) |
| 70.9% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 (*.f64 a (*.f64 a x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a (*.f64 a (*.f64 x x))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (*.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
3 calls:
| 11.0ms | (exp.f64 (*.f64 a x)) |
| 5.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.8% | 2 | (exp.f64 (*.f64 a x)) |
| 70.8% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x (+ (* (* a (* a x)) (+ (* x (* a 1/6)) 1/2)) a)) 1) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 a a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x))) |
3 calls:
| 4.0ms | (*.f64 a x) |
| 3.0ms | (exp.f64 (*.f64 a x)) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.6% | 2 | (exp.f64 (*.f64 a x)) |
| 70.6% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 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 a (fma.f64 (*.f64 a (*.f64 x x)) (fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
3 calls:
| 8.0ms | (exp.f64 (*.f64 a x)) |
| 3.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 70.5% | 2 | (exp.f64 (*.f64 a x)) |
| 70.5% | 2 | (*.f64 a x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 x x)) x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
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 |
|---|---|---|
| 68.0% | 1 | x |
| 68.0% | 1 | a |
| 68.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 68.0% | 1 | (exp.f64 (*.f64 a x)) |
| 68.0% | 1 | (*.f64 a x) |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | a |
| 1.0ms | x |
| 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 |
|---|---|---|
| 20.0% | 1 | a |
| 20.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 20.0% | 1 | (exp.f64 (*.f64 a x)) |
| 20.0% | 1 | (*.f64 a x) |
| 20.0% | 1 | x |
Compiled 25 to 17 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2247.0294332668163 | -0.2237980328000469 |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 44× | *-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 16× | +-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 356 |
| 1 | 104 | 356 |
| 2 | 120 | 356 |
| 3 | 134 | 356 |
| 4 | 138 | 356 |
| 5 | 139 | 356 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 a x)) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a a) x) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (*.f64 a x) (*.f64 a (*.f64 a (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 a a)) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))) a (*.f64 a x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x) a))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 a x) (*.f64 x (fma.f64 a (*.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 a (*.f64 a (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a (fma.f64 (*.f64 (*.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))) |
(if (<=.f64 (*.f64 a x) #s(literal -2000 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* 1/2 (* a (* x x))) x)) 1) (*.f64 a (*.f64 a (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 x (fma.f64 a (*.f64 a (*.f64 x #s(literal 1/2 binary64))) a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
| 19 346× | lower-fma.f64 |
| 19 346× | lower-fma.f32 |
| 8 560× | lower-fma.f64 |
| 8 560× | lower-fma.f32 |
| 6 248× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 302 |
| 0 | 87 | 296 |
| 1 | 372 | 254 |
| 2 | 3255 | 252 |
| 0 | 8863 | 242 |
| 0 | 27 | 179 |
| 0 | 49 | 179 |
| 1 | 221 | 179 |
| 2 | 1732 | 179 |
| 0 | 8356 | 179 |
| 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 | 211 | 3180 |
| 1 | 715 | 3168 |
| 2 | 2472 | 3074 |
| 3 | 6716 | 3074 |
| 0 | 8082 | 2685 |
| 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× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 539 to 214 computations (60.3% saved)
(sort a x)
Compiled 576 to 144 computations (75% saved)
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