
Time bar (total: 15.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 796.0ms | 8 256× | 0 | valid |
ival-cos: 280.0ms (61.6% of total)ival-mult: 83.0ms (18.3% of total)ival-exp: 82.0ms (18% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0 | 0 | - | 0 | - | (cos.f64 im) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | (exp.f64 re) |
| 0 | 0 | - | 0 | - | im |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 34.0ms | 512× | 0 | valid |
Compiled 33 to 19 computations (42.4% saved)
ival-cos: 14.0ms (64.2% of total)ival-exp: 4.0ms (18.4% of total)ival-mult: 3.0ms (13.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 46× | sub-neg |
| 32× | associate-*r* |
| 28× | +-commutative |
| 28× | associate-*l* |
| 24× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 39 | 29 |
| 2 | 72 | 27 |
| 3 | 108 | 27 |
| 4 | 166 | 27 |
| 5 | 206 | 27 |
| 6 | 250 | 27 |
| 7 | 284 | 27 |
| 8 | 295 | 27 |
| 9 | 295 | 27 |
| 0 | 5 | 5 |
| 0 | 8 | 5 |
| 1 | 9 | 5 |
| 0 | 9 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(abs im)
Compiled 7 to 5 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 4× | lower-*.f32 |
| 2× | lower-cos.f32 |
| 2× | *-commutative |
| 2× | lift-exp.f64 |
| 2× | lift-cos.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 8 | 11 |
| 1 | 9 | 11 |
| 0 | 9 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
re |
(cos.f64 im) |
im |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
re |
(cos.f64 im) |
im |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.00390625 | (cos.f64 im) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 18.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-cos: 5.0ms (55% of total)ival-exp: 2.0ms (22% of total)ival-mult: 1.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ()) |
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | (* (exp re) (cos im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (cos im)) |
| 0.0ms | re | @ | -inf | (* (exp re) (cos im)) |
| 0.0ms | re | @ | 0 | (* (exp re) (cos im)) |
| 0.0ms | im | @ | inf | (* (exp re) (cos im)) |
| 1× | egg-herbie |
| 17 940× | lower-fma.f64 |
| 17 940× | lower-fma.f32 |
| 3 878× | lower-*.f64 |
| 3 878× | lower-*.f32 |
| 2 422× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 283 |
| 1 | 178 | 272 |
| 2 | 461 | 268 |
| 3 | 1054 | 264 |
| 4 | 1447 | 264 |
| 5 | 1857 | 264 |
| 6 | 2380 | 264 |
| 7 | 2886 | 264 |
| 8 | 3528 | 264 |
| 9 | 5578 | 264 |
| 10 | 7980 | 264 |
| 0 | 8041 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
| 4× | lower-*.f32 |
| 2× | lower-cos.f32 |
| 2× | lift-exp.f64 |
| 2× | lift-cos.f64 |
| 2× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 0 | 8 | 9 |
| 1 | 9 | 9 |
| 0 | 9 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp.f64 re) |
(cos.f64 im) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp.f64 re) |
(cos.f64 im) |
Compiled 384 to 39 computations (89.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 6 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 7 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ▶ | 66.2% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 70.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) | |
| ▶ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 71.6% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ▶ | 49.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
Compiled 127 to 81 computations (36.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) | |
| cost-diff | 0 | (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) | |
| cost-diff | 0 | (cos.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) (cos.f64 im)) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| 84× | lower-*.f32 |
| 80× | lower-fma.f32 |
| 76× | lower-*.f64 |
| 74× | lower-fma.f64 |
| 32× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 121 |
| 0 | 38 | 121 |
| 1 | 60 | 121 |
| 2 | 74 | 121 |
| 3 | 98 | 121 |
| 4 | 103 | 121 |
| 5 | 106 | 121 |
| 0 | 106 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(exp.f64 re) |
re |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(exp.f64 re) |
re |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
im |
(*.f64 im #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(exp.f64 re) |
re |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
im |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(exp.f64 re) |
re |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
im |
(*.f64 im #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) | |
| accuracy | 21.279246571537357 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 im #s(literal -1/2 binary64)) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 30.773936670476836 | #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 re #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 im) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) | |
| accuracy | 31.6658511017305 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (cos.f64 im) | |
| accuracy | 32.42592766385429 | #s(approx (* (exp re) (cos im)) (cos.f64 im)) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 18.15469723053834 | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| 43.0ms | 256× | 0 | valid |
Compiled 83 to 18 computations (78.3% saved)
ival-cos: 12.0ms (46.5% of total)ival-mult: 7.0ms (27.1% of total)ival-add: 4.0ms (15.5% of total)ival-exp: 2.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ()) |
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | re | @ | 0 | (+ (* re 1/2) 1) |
| 1.0ms | re | @ | 0 | (+ (* re (+ (* re 1/2) 1)) 1) |
| 0.0ms | im | @ | inf | (+ (* im (* im -1/2)) 1) |
| 0.0ms | im | @ | inf | (* im -1/2) |
| 0.0ms | im | @ | 0 | (+ (* im (* im -1/2)) 1) |
| 1× | egg-herbie |
| 15 752× | lower-fma.f64 |
| 15 752× | lower-fma.f32 |
| 4 854× | lower-*.f64 |
| 4 854× | lower-*.f32 |
| 3 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1441 |
| 1 | 225 | 1382 |
| 2 | 563 | 1362 |
| 3 | 1592 | 1342 |
| 4 | 4357 | 1342 |
| 5 | 5520 | 1342 |
| 6 | 6493 | 1342 |
| 7 | 7148 | 1342 |
| 0 | 8026 | 1228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 re) |
(+ 1 re) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* -1/2 (pow im 2))) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* -1/2 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
(* -1/2 im) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/2 binary64))) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/2 binary64))) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
(* -1/2 im) |
(*.f64 im #s(literal -1/2 binary64)) |
| 6 728× | lower-fma.f32 |
| 6 722× | lower-fma.f64 |
| 4 484× | lower-*.f32 |
| 4 476× | lower-*.f64 |
| 2 600× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 102 |
| 0 | 38 | 102 |
| 1 | 102 | 102 |
| 2 | 610 | 102 |
| 3 | 5950 | 102 |
| 0 | 8141 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(exp.f64 re) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 im #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(exp.f64 re) |
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re)) |
(pow.f64 (exp.f64 re) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) re) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
(cos.f64 im) |
(*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) re) |
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re))) |
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))) |
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re)))) |
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) |
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) re)) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)) |
(/.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re re) #s(literal -1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) |
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re re #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) |
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))) |
(*.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re re #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re))) |
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re re)) (*.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))))) (fma.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re)) (*.f64 re (*.f64 re (*.f64 re re))))) |
(*.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (+.f64 (fma.f64 re re #s(literal -1 binary64)) re))) (+.f64 (fma.f64 re re #s(literal -1 binary64)) re)) |
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re)) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (exp.f64 re)) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) (/.f64 (*.f64 re #s(literal 1/2 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 re re) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (*.f64 re re) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 im #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 im #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) im) |
(*.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
Compiled 13 352 to 1 298 computations (90.3% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 12 | 645 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 634 | 18 | 652 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 27.1% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) | |
| ▶ | 70.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 43.2% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 41.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 35.9% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 71.6% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 49.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 43.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 40.9% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 30.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) | |
| ▶ | 29.6% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| ▶ | 33.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ▶ | 32.4% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 30.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
Compiled 403 to 231 computations (42.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 im im) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 im im) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (exp re) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 1 120× | lower-fma.f32 |
| 1 100× | lower-fma.f64 |
| 412× | lower-*.f32 |
| 406× | lower-*.f64 |
| 284× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 263 |
| 0 | 59 | 263 |
| 1 | 123 | 263 |
| 2 | 268 | 263 |
| 3 | 513 | 263 |
| 4 | 782 | 263 |
| 5 | 881 | 263 |
| 6 | 882 | 263 |
| 0 | 882 | 263 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) | |
| accuracy | 0.23046875 | (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) | |
| accuracy | 30.57872750417704 | #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 32.22450023029601 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 30.549816454877778 | #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 32.22450023029601 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 17.947526521770236 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 21.09513040603943 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 17.947526521770236 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) | |
| accuracy | 32.217806917745946 | #s(approx (exp re) #s(literal 1 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 85.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 172 to 35 computations (79.7% saved)
ival-mult: 31.0ms (52.2% of total)ival-add: 10.0ms (16.8% of total)const: 9.0ms (15.1% of total)ival-cos: 6.0ms (10.1% of total)ival-exp: 2.0ms (3.4% 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 |
|---|
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 im im) (patch (*.f64 im im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow im 3)) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/24 (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/24 (* -1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/720 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | im | @ | inf | (+ (* (* im im) (+ (* im (* im (+ (* (* im im) -1/720) 1/24))) -1/2)) 1) |
| 0.0ms | im | @ | inf | (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) |
| 0.0ms | im | @ | inf | (* im (+ (* (* im im) -1/720) 1/24)) |
| 0.0ms | im | @ | 0 | (* im (+ (* (* im im) -1/720) 1/24)) |
| 0.0ms | re | @ | inf | (+ (* re (+ (* re 1/6) 1/2)) 1) |
| 1× | egg-herbie |
| 14 988× | lower-fma.f64 |
| 14 988× | lower-fma.f32 |
| 4 644× | lower-*.f64 |
| 4 644× | lower-*.f32 |
| 2 486× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2115 |
| 1 | 407 | 2052 |
| 2 | 1125 | 2024 |
| 3 | 3758 | 1980 |
| 4 | 7213 | 1980 |
| 0 | 8066 | 1790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(* -1/720 (pow im 6)) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* -1/720 (pow im 6)) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(- (* 1/24 (pow im 2)) 1/2) |
(- (* 1/24 (pow im 2)) 1/2) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 im) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(* -1/720 (pow im 3)) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* -1/720 (pow im 3)) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
1/24 |
(+ 1/24 (* -1/720 (pow im 2))) |
(+ 1/24 (* -1/720 (pow im 2))) |
(+ 1/24 (* -1/720 (pow im 2))) |
(* -1/720 (pow im 2)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* -1/720 (pow im 2)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
| Outputs |
|---|
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
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(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* -1/720 (pow im 6)) |
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) #s(literal 1 binary64)) |
(* -1/720 (pow im 6)) |
(*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4))))) |
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* -1/720 (pow im 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 im im))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* -1/720 (pow im 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 im im))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* -1/720 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* -1/720 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/720 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* -1/720 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/720 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
| 5 738× | lower-fma.f32 |
| 5 718× | lower-fma.f64 |
| 4 056× | lower-/.f64 |
| 4 056× | lower-/.f32 |
| 3 698× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 229 |
| 0 | 59 | 229 |
| 1 | 239 | 229 |
| 2 | 1847 | 229 |
| 0 | 8455 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))) |
Compiled 20 985 to 1 759 computations (91.6% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 827 | 10 | 837 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 829 | 26 | 855 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 27.1% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) | |
| ▶ | 70.3% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
| ✓ | 70.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 43.2% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 41.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 54.1% | (*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))) (cos.f64 im)) | |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 35.9% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 71.6% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 49.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| ▶ | 40.9% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
| 43.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 40.9% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 34.1% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) | |
| ▶ | 30.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| 14.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) | |
| 14.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) | |
| ✓ | 29.6% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| ✓ | 33.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 32.3% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 33.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
| 30.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 16.2% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
Compiled 656 to 340 computations (48.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 im im) | |
| cost-diff | 0 | (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 re re) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) | |
| cost-diff | 128 | (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) | |
| cost-diff | 128 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
| 472× | lower-fma.f32 |
| 458× | lower-fma.f64 |
| 212× | lower-*.f32 |
| 198× | lower-*.f64 |
| 140× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 301 |
| 0 | 63 | 303 |
| 1 | 111 | 298 |
| 2 | 172 | 298 |
| 3 | 292 | 298 |
| 4 | 363 | 298 |
| 5 | 383 | 298 |
| 0 | 383 | 291 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(*.f64 im #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
im |
(*.f64 im #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 im) |
im |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 re re) |
re |
#s(literal 1/2 binary64) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(*.f64 im #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
im |
(*.f64 im #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 30.526817039510078 | #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.33203125 | (*.f64 im #s(literal 1/24 binary64)) | |
| accuracy | 30.549816454877778 | #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 32.0394604413172 | #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) | |
| accuracy | 32.22450023029601 | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 re re) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 17.947526521770236 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) | |
| accuracy | 21.09513040603943 | #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) | |
| accuracy | 0 | (+.f64 re #s(literal 1 binary64)) | |
| accuracy | 17.947526521770236 | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) | |
| accuracy | 31.47170873740521 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
| 99.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 170 to 34 computations (80% saved)
ival-add: 44.0ms (54% of total)ival-mult: 23.0ms (28.2% of total)const: 6.0ms (7.4% of total)ival-cos: 6.0ms (7.4% of total)ival-exp: 2.0ms (2.5% 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 |
|---|
#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 im im) (patch (*.f64 im im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/2 (taylor 0 im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/24 (pow im 2)) 1/2) (taylor 0 im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow im 2)) (taylor inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 (pow im 2)) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) (patch #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/24 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | -inf | (* im 1/24) |
| 0.0ms | im | @ | inf | (* im 1/24) |
| 0.0ms | im | @ | 0 | (* im 1/24) |
| 0.0ms | re | @ | inf | (* re re) |
| 0.0ms | re | @ | 0 | (* re re) |
| 1× | egg-herbie |
| 15 962× | lower-fma.f64 |
| 15 962× | lower-fma.f32 |
| 4 608× | lower-*.f64 |
| 4 608× | lower-*.f32 |
| 2 680× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1997 |
| 1 | 344 | 1934 |
| 2 | 960 | 1898 |
| 3 | 3289 | 1862 |
| 4 | 6401 | 1862 |
| 0 | 8083 | 1685 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 re) |
(+ 1 re) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 4)) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
(* (cos im) (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
-1/2 |
(- (* 1/24 (pow im 2)) 1/2) |
(- (* 1/24 (pow im 2)) 1/2) |
(- (* 1/24 (pow im 2)) 1/2) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 2)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
(cos im) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) #s(literal 1 binary64)) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(pow im 2) |
(*.f64 im im) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(* (cos im) (exp re)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal 1/24 binary64))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
| 6 384× | lower-fma.f32 |
| 6 370× | lower-fma.f64 |
| 4 228× | lower-/.f64 |
| 4 228× | lower-/.f32 |
| 3 496× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 0 | 63 | 255 |
| 1 | 214 | 250 |
| 2 | 1537 | 250 |
| 0 | 8277 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) |
(*.f64 re re) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(*.f64 im im) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) |
(*.f64 im #s(literal 1/24 binary64)) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)))) |
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(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re #s(literal 1/6 binary64)) re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
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(fma.f64 (*.f64 re (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (-.f64 (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) #s(literal 3 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (-.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (*.f64 re #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) |
(*.f64 #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)) |
(*.f64 im #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) im) |
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
Compiled 30 131 to 1 817 computations (94% saved)
36 alts after pruning (24 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 033 | 17 | 1 050 |
| Fresh | 5 | 7 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 040 | 36 | 1 076 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 29.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 70.3% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
| 43.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 31.9% | (*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 31.5% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 43.2% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 43.2% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 70.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 43.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 41.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| 29.9% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 54.1% | (*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re re)) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))) (cos.f64 im)) | |
| 43.2% | (*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 50.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 35.9% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 17.7% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 17.6% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 17.4% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 71.6% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 49.3% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| ✓ | 40.9% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
| 43.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 40.9% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 34.1% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) | |
| ✓ | 30.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| 14.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) | |
| 14.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) | |
| ✓ | 29.6% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| ✓ | 33.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 32.3% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 33.7% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) | |
| 30.9% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 16.2% | #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
Compiled 1 441 to 499 computations (65.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re re)) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))) (cos.f64 im)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 15.0ms | im |
| 15.0ms | (cos.f64 im) |
| 14.0ms | (exp.f64 re) |
| 13.0ms | re |
| 11.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (cos.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re re)) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))) (cos.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
5 calls:
| 17.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 15.0ms | im |
| 14.0ms | re |
| 13.0ms | (exp.f64 re) |
| 12.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 4 | re |
| 85.3% | 2 | im |
| 97.9% | 4 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 91.6% | 2 | (exp.f64 re) |
| 89.1% | 2 | (cos.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
2 calls:
| 23.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 13.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 97.4% | 4 | re |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
1 calls:
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
2 calls:
| 11.0ms | re |
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 4 | re |
| 98.6% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) (exp.f64 re)) |
1 calls:
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) (cos.f64 im)) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 14.0ms | re |
| 12.0ms | im |
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 10.0ms | (cos.f64 im) |
| 8.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.7% | 2 | im |
| 59.8% | 2 | (cos.f64 im) |
| 75.0% | 4 | re |
| 72.7% | 3 | (exp.f64 re) |
| 78.4% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 11.0ms | re |
| 11.0ms | (cos.f64 im) |
| 10.0ms | im |
| 8.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 8.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 2 | im |
| 51.4% | 2 | (cos.f64 im) |
| 53.3% | 3 | (exp.f64 re) |
| 55.3% | 3 | re |
| 59.1% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re re) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
4 calls:
| 6.0ms | (cos.f64 im) |
| 4.0ms | re |
| 4.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.9% | 2 | (cos.f64 im) |
| 43.7% | 1 | (exp.f64 re) |
| 43.7% | 1 | re |
| 48.9% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
2 calls:
| 4.0ms | (cos.f64 im) |
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 2 | (cos.f64 im) |
| 47.5% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) |
5 calls:
| 5.0ms | (cos.f64 im) |
| 4.0ms | im |
| 4.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 1 | re |
| 40.9% | 1 | (exp.f64 re) |
| 40.9% | 1 | im |
| 44.6% | 2 | (cos.f64 im) |
| 44.7% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) |
2 calls:
| 7.0ms | (cos.f64 im) |
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.1% | 3 | (cos.f64 im) |
| 44.5% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
1 calls:
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (* re re) 1/2) (+ re 1)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) |
4 calls:
| 2.0ms | im |
| 2.0ms | re |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 2 | re |
| 32.4% | 2 | im |
| 40.8% | 2 | (exp.f64 re) |
| 40.8% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
5 calls:
| 3.0ms | re |
| 2.0ms | im |
| 1.0ms | (cos.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.2% | 1 | im |
| 30.2% | 1 | (cos.f64 im) |
| 30.2% | 1 | re |
| 30.2% | 1 | (exp.f64 re) |
| 30.2% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
5 calls:
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (cos.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.6% | 1 | im |
| 29.6% | 1 | (cos.f64 im) |
| 29.6% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 29.6% | 1 | re |
| 29.6% | 1 | (exp.f64 re) |
Compiled 21 to 15 computations (28.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.3604895423610353e+99 | 4.168067096461845e+106 |
| 13.0ms | 1.350713148796045e-9 | 0.000705625655648504 |
| 8.0ms | -0.9112968883672384 | -0.48724858760915085 |
| 24.0ms | 352× | 0 | valid |
Compiled 516 to 340 computations (34.1% saved)
ival-exp: 7.0ms (42.4% of total)ival-cos: 7.0ms (42.4% of total)ival-mult: 2.0ms (12.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999947398431666 | 1.0 |
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -3.083804766288752e-117 | 0.0 |
| 0.0ms | -inf | -0.9999333815087446 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999947398431666 | 1.0 |
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -0.03474729794261341 | -3.083804766288752e-117 |
| 0.0ms | -inf | -0.9999333815087446 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999947398431666 | 1.0 |
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -0.03474729794261341 | -3.083804766288752e-117 |
| 0.0ms | -inf | -0.9999333815087446 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999947398431666 | 1.0 |
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -3.083804766288752e-117 | 0.0 |
| 0.0ms | -inf | -0.9999333815087446 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999947398431666 | 1.0 |
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -3.083804766288752e-117 | 0.0 |
| 0.0ms | -inf | -0.9999333815087446 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -0.03474729794261341 | -3.083804766288752e-117 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -0.03474729794261341 | -3.083804766288752e-117 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -3.083804766288752e-117 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
| 0.0ms | -0.03474729794261341 | -3.083804766288752e-117 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1780985822921004 | 8944765059.73043 |
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1780985822921004 | 8944765059.73043 |
| 0.0ms | -0.0 | 0.015013664717222168 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1780985822921004 | 8944765059.73043 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1296 |
| 1 | 156 | 1296 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))))) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503575937730141/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| 17 940× | lower-fma.f64 |
| 17 940× | lower-fma.f32 |
| 15 962× | lower-fma.f64 |
| 15 962× | lower-fma.f32 |
| 15 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2115 |
| 1 | 407 | 2052 |
| 2 | 1125 | 2024 |
| 3 | 3758 | 1980 |
| 4 | 7213 | 1980 |
| 0 | 8066 | 1790 |
| 0 | 80 | 1441 |
| 1 | 225 | 1382 |
| 2 | 563 | 1362 |
| 3 | 1592 | 1342 |
| 4 | 4357 | 1342 |
| 5 | 5520 | 1342 |
| 6 | 6493 | 1342 |
| 7 | 7148 | 1342 |
| 0 | 8026 | 1228 |
| 0 | 64 | 283 |
| 1 | 178 | 272 |
| 2 | 461 | 268 |
| 3 | 1054 | 264 |
| 4 | 1447 | 264 |
| 5 | 1857 | 264 |
| 6 | 2380 | 264 |
| 7 | 2886 | 264 |
| 8 | 3528 | 264 |
| 9 | 5578 | 264 |
| 10 | 7980 | 264 |
| 0 | 8041 | 242 |
| 0 | 34 | 229 |
| 0 | 59 | 229 |
| 1 | 239 | 229 |
| 2 | 1847 | 229 |
| 0 | 8455 | 229 |
| 0 | 117 | 1997 |
| 1 | 344 | 1934 |
| 2 | 960 | 1898 |
| 3 | 3289 | 1862 |
| 4 | 6401 | 1862 |
| 0 | 8083 | 1685 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 520 to 544 computations (64.2% saved)
(abs im)
Compiled 1 804 to 216 computations (88% saved)
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