
Time bar (total: 16.0s)
| 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)
| 621.0ms | 8 256× | 0 | valid |
ival-cos: 236.0ms (64.2% of total)ival-exp: 73.0ms (19.9% of total)ival-mult: 51.0ms (13.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% 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)
| 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 |
| 32.0ms | 512× | 0 | valid |
Compiled 40 to 24 computations (40% saved)
ival-cos: 13.0ms (65.1% of total)ival-exp: 4.0ms (20% of total)ival-mult: 3.0ms (15% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)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 | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 15.0ms | 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 |
|---|
#<alt (*.f64 (exp.f64 re) (cos.f64 im))> |
#<alt (exp.f64 re)> |
#<alt (cos.f64 im)> |
| Outputs |
|---|
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | re | @ | -inf | (* (exp re) (cos im)) |
| 1.0ms | re | @ | inf | (* (exp re) (cos im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (cos im)) |
| 0.0ms | im | @ | inf | (* (exp re) (cos im)) |
| 0.0ms | re | @ | 0 | (* (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) |
| 1× | batch-egg-rewrite |
| 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 336 to 39 computations (88.4% 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)) |
| ▶ | 67.7% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 62.8% | (*.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)) | |
| ▶ | 60.3% | (*.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)) |
| ▶ | 47.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 71.3% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ▶ | 46.9% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
Compiled 115 to 81 computations (29.6% 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 | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 100.0% | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.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)) |
| ✓ | accuracy | 60.3% | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 im #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 49.5% | #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 re #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ✓ | accuracy | 47.6% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 46.9% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 71.3% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| 33.0ms | 256× | 0 | valid |
Compiled 83 to 18 computations (78.3% saved)
ival-mult: 7.0ms (34.6% of total)ival-cos: 6.0ms (29.7% of total)ival-add: 5.0ms (24.7% of total)ival-exp: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (* (exp re) (cos im)) (exp.f64 re))> |
#<alt (exp.f64 re)> |
#<alt #s(approx (* (exp re) (cos im)) (cos.f64 im))> |
#<alt (cos.f64 im)> |
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))> |
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))> |
#<alt (+.f64 re #s(literal 1 binary64))> |
#<alt (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<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))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 im #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (* -1/2 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (* -1/2 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
#<alt (* -1/2 im)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) |
| 0.0ms | re | @ | -inf | (+ (* re (+ (* re 1/2) 1)) 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)) |
| 1× | batch-egg-rewrite |
| 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))) |
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(*.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 12 589 to 1 297 computations (89.7% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 630 | 15 | 645 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 631 | 21 | 652 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 32.4% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) | |
| ▶ | 62.8% | (*.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)) |
| 41.1% | (*.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)))) | |
| ✓ | 60.3% | (*.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)) |
| 35.4% | (*.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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 39.9% | (*.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 (*.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)))) | |
| 39.2% | (*.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)))) | |
| ✓ | 47.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ▶ | 29.2% | (*.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)))) |
| ▶ | 33.7% | (*.f64 #s(approx (exp re) (+.f64 re #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)))) |
| 31.6% | (*.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)))) | |
| ✓ | 71.3% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 46.9% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| ▶ | 37.3% | #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)))) |
| 35.5% | #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)))) | |
| 28.5% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) | |
| ▶ | 28.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| 28.4% | #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)))) | |
| 31.7% | #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)))) | |
| 28.8% | #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 487 to 311 computations (36.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (+.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))) #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 (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 | (+.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))) #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 (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 | #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)))) |
| ✓ | 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 |
| 1 104× | lower-fma.f64 |
| 420× | lower-*.f32 |
| 410× | lower-*.f64 |
| 284× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 302 |
| 0 | 57 | 302 |
| 1 | 117 | 302 |
| 2 | 259 | 302 |
| 3 | 506 | 302 |
| 4 | 789 | 302 |
| 5 | 892 | 302 |
| 6 | 893 | 302 |
| 0 | 893 | 302 |
| 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 (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))) |
(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) |
(*.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)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
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))) |
(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) |
(*.f64 #s(approx (exp re) (+.f64 re #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 (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#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) |
| 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 (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))) |
(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) |
(*.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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 (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 im (*.f64 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)) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 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)) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (exp re) (+.f64 re #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)))) |
(*.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) (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) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#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 (*.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))) |
(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 (*.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)) |
(*.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 (*.f64 im 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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 49.4% | #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 | 47.6% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (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 | 99.8% | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 49.5% | #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 | 47.6% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (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 | 99.7% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 71.3% | #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)))) |
| ✓ | accuracy | 62.8% | #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 | 71.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| ✓ | accuracy | 46.9% | #s(approx (exp re) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (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 | 99.7% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 62.8% | #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))) |
| 73.0ms | 256× | 0 | valid |
Compiled 198 to 32 computations (83.8% saved)
ival-mult: 17.0ms (34.4% of total)ival-add: 12.0ms (24.3% of total)const: 11.0ms (22.2% of total)ival-cos: 6.0ms (12.1% of total)ival-exp: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.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))> |
#<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)))> |
#<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))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))> |
#<alt #s(approx (exp re) #s(literal 1 binary64))> |
#<alt #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))))> |
#<alt (*.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))))> |
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))> |
#<alt (+.f64 re #s(literal 1 binary64))> |
#<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)))> |
#<alt (*.f64 #s(approx (exp re) (+.f64 re #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))))> |
#<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)))> |
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))> |
#<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))> |
#<alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))> |
#<alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))> |
| Outputs |
|---|
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))> |
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))> |
#<alt (* 1/6 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* 1/6 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 im)> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* -1/720 (pow im 3))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* -1/720 (pow im 3))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* -1/720 (pow im 2)))> |
#<alt (+ 1/24 (* -1/720 (pow im 2)))> |
#<alt (+ 1/24 (* -1/720 (pow im 2)))> |
#<alt (* -1/720 (pow im 2))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* -1/720 (pow im 2))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | 0 | (* im (+ (* (* im im) -1/720) 1/24)) |
| 0.0ms | im | @ | inf | (* im (+ (* (* im im) -1/720) 1/24)) |
| 0.0ms | im | @ | inf | (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) |
| 0.0ms | re | @ | -inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 0.0ms | im | @ | -inf | (* im (+ (* (* im im) -1/720) 1/24)) |
| 1× | egg-herbie |
| 19 240× | lower-fma.f64 |
| 19 240× | lower-fma.f32 |
| 4 690× | lower-*.f64 |
| 4 690× | lower-*.f32 |
| 2 514× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1819 |
| 1 | 366 | 1760 |
| 2 | 1015 | 1732 |
| 3 | 2924 | 1696 |
| 0 | 8006 | 1537 |
| 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)) |
(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 (* -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 (* -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) |
1/2 |
(+ 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 |
(+ 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))))) |
(* 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)))))) |
(*.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 (* 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 #s(literal 1/6 binary64) (*.f64 re re))) |
(* (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 #s(literal 1/6 binary64) (*.f64 re re))) |
(* (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 #s(literal 1/6 binary64) (*.f64 re re)) |
(* (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 #s(literal 1/6 binary64) (*.f64 re re)) |
(* (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)) |
(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)) |
(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)) |
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 (* -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) |
1/2 |
#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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow im 2)) 1/2) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal 1/24 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* 1/24 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal 1/24 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 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 (*.f64 im 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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (pow im 3)) |
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 im (fma.f64 (*.f64 im 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 (*.f64 im 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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (pow im 3)) |
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 im (fma.f64 (*.f64 im 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 (*.f64 im 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 (*.f64 im 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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow im 2))) |
(fma.f64 (*.f64 im 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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 (*.f64 im 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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| 1× | batch-egg-rewrite |
| 7 590× | lower-fma.f32 |
| 7 574× | lower-fma.f64 |
| 3 872× | lower-/.f64 |
| 3 872× | lower-*.f32 |
| 3 872× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 203 |
| 0 | 57 | 203 |
| 1 | 222 | 203 |
| 2 | 1669 | 203 |
| 0 | 8232 | 203 |
| 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 (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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.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) (+.f64 re #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 (*.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)) |
(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 (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 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (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) |
(-.f64 (/.f64 (*.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 (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))) (/.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 #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 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (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)))) |
(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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.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 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.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))) (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))))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 (*.f64 re re) (*.f64 (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 re)))) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 (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 re))) (-.f64 (*.f64 re re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) re)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 (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 re)))) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 (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 re)) #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))) #s(literal 1 binary64)) |
(fma.f64 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (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 re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (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 re)) #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)) |
(/.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)))) |
(/.f64 #s(literal 1 binary64) (/.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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 #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)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64)) (-.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64))) (neg.f64 (-.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (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) (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (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))) |
(/.f64 (-.f64 (*.f64 (*.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 (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))) (*.f64 (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(literal 1 binary64))) (*.f64 (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)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (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 (neg.f64 (-.f64 #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)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) (neg.f64 (-.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 im (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 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))) |
(*.f64 (*.f64 im (fma.f64 (*.f64 im im) (*.f64 (*.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 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) im) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) |
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.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 im im) (*.f64 (*.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)))) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))) |
(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 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))) |
(fma.f64 (*.f64 im #s(literal -1/720 binary64)) im #s(literal 1/24 binary64)) |
(/.f64 #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 #s(literal 1 binary64) (/.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) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))) (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 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 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 (fma.f64 (*.f64 im im) (*.f64 (*.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 1/576 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))) |
(/.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal -1/576 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))) (neg.f64 (-.f64 (fma.f64 (*.f64 im im) (*.f64 (*.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 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.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 im im) (*.f64 (*.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 #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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 im im) (*.f64 (*.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 21 929 to 1 660 computations (92.4% saved)
35 alts after pruning (28 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 859 | 19 | 878 |
| Fresh | 2 | 9 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 864 | 35 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 32.4% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) | |
| ✓ | 62.8% | (*.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)) |
| 36.9% | (*.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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 41.8% | (*.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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 41.1% | (*.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)))) | |
| ✓ | 60.3% | (*.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)) |
| ▶ | 35.4% | (*.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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
| 39.9% | (*.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 (*.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)))) | |
| 39.2% | (*.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)))) | |
| 50.1% | (*.f64 #s(approx (exp re) (/.f64 (-.f64 #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)) (*.f64 re (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)))) (cos.f64 im)) | |
| ▶ | 62.8% | (*.f64 #s(approx (exp 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)) |
| ✓ | 47.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 33.7% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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)))) | |
| ▶ | 31.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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)))) |
| 13.8% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) | |
| ✓ | 71.3% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 46.9% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 31.4% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 29.6% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 37.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 35.5% | #s(approx (* (exp re) (cos im)) #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)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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)))) | |
| 30.5% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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))))) | |
| 37.3% | #s(approx (* (exp re) (cos im)) #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)))))) | |
| ▶ | 28.5% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| 12.0% | #s(approx (* (exp re) (cos im)) #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)))) | |
| 12.1% | #s(approx (* (exp re) (cos im)) #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))))))) | |
| 11.8% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) | |
| ✓ | 28.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| 28.4% | #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)))) | |
| 31.7% | #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)))) | |
| 28.8% | #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 1 141 to 672 computations (41.1% 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 (*.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 | (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))) #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 (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #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 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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)))) |
| ✓ | 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 | #s(approx (exp 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)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp 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)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
| 1 128× | lower-fma.f32 |
| 1 106× | lower-fma.f64 |
| 436× | lower-*.f32 |
| 420× | lower-*.f64 |
| 288× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 400 |
| 0 | 81 | 404 |
| 1 | 160 | 394 |
| 2 | 311 | 394 |
| 3 | 588 | 394 |
| 4 | 853 | 394 |
| 5 | 929 | 394 |
| 6 | 930 | 394 |
| 0 | 930 | 393 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp 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)) |
#s(approx (exp 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)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(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) |
(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) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#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))) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) |
#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))) #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 (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 (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) |
(*.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 (*.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) (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 (*.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) |
| Outputs |
|---|
(*.f64 #s(approx (exp 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 #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) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) |
#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 (+.f64 #s(literal 1 binary64) (*.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)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(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) |
(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) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#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))) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 im im) |
im |
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) |
#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))) #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 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 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 (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 im (*.f64 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)) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 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)) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 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 (*.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) (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 (*.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 62.8% | #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 | 49.4% | #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 | 99.9% | (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 | 99.8% | (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 60.3% | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 49.5% | #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 | 99.9% | (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 49.5% | #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))) |
| ✓ | accuracy | 48.4% | #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 47.6% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 re #s(literal 1 binary64)) |
| ✓ | accuracy | 71.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| ✓ | accuracy | 47.6% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
| ✓ | accuracy | 99.7% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 62.8% | #s(approx (exp 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)) |
| 173.0ms | 256× | 0 | valid |
Compiled 255 to 40 computations (84.3% saved)
ival-mult: 50.0ms (60.8% of total)ival-add: 14.0ms (17% of total)const: 9.0ms (10.9% of total)ival-cos: 6.0ms (7.3% of total)ival-exp: 2.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)> |
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))> |
#<alt (*.f64 #s(approx (exp 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))> |
#<alt #s(approx (exp 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))> |
#<alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))> |
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))> |
#<alt (+.f64 re #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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))))> |
#<alt #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)))> |
#<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))) #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))))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<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 (*.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))))> |
#<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)))> |
#<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))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))> |
#<alt #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))> |
#<alt (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<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)))> |
#<alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))> |
#<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))> |
#<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)))> |
#<alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow re 2)))> |
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))> |
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt (+ 1 re)> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (cos im)> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))> |
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))> |
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt (* (cos im) (exp re))> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt (exp re)> |
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))> |
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))> |
#<alt (* 1/6 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* 1/6 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (- (* 1/24 (pow im 2)) 1/2)> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 2))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 4))> |
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (cos im)> |
#<alt (* 1/24 im)> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))> |
#<alt (* -1/720 (pow im 3))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))> |
#<alt (* -1/720 (pow im 3))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | re | @ | inf | (+ 1 (* (+ (* re 1/6) 1/2) (* re re))) |
| 0.0ms | re | @ | inf | (* (+ (* re 1/6) 1/2) (* re re)) |
| 0.0ms | re | @ | -inf | (* (+ (* re 1/6) 1/2) (* re re)) |
| 0.0ms | re | @ | 0 | (* (+ (* re 1/6) 1/2) (* re re)) |
| 0.0ms | re | @ | 0 | (+ (+ 1 (* (+ (* re 1/6) 1/2) (* re re))) re) |
| 1× | egg-herbie |
| 15 680× | lower-fma.f64 |
| 15 680× | lower-fma.f32 |
| 5 220× | lower-*.f64 |
| 5 220× | lower-*.f32 |
| 2 074× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 2509 |
| 1 | 424 | 2446 |
| 2 | 1175 | 2410 |
| 3 | 4027 | 2358 |
| 4 | 7695 | 2358 |
| 0 | 8235 | 2121 |
| 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))) |
1 |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(+ 1 (* (pow re 2) (+ 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 3))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 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 (pow re 2))) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 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) |
(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) |
(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 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 |
(+ 1/2 (* 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 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 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)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 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 |
(+ 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))))) |
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) |
-1/2 |
(- (* 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 |
(+ 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))))) |
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) |
(* 1/24 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)))))) |
| 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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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 (pow re 2))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
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(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
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(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #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)))))) |
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(exp re) |
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(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) |
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(exp re) |
(exp.f64 re) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)) |
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(exp re) |
(exp.f64 re) |
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(*.f64 (cos.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
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(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(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) |
(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)))))) |
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(* (cos im) (exp re)) |
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(exp re) |
(exp.f64 re) |
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(* (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)) |
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(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 #s(literal 1 binary64) re)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
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(* (cos im) (exp re)) |
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(* (cos im) (exp re)) |
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(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
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(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) |
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(* (cos im) (exp re)) |
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(* (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)) |
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(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 (* 1/2 re)))) |
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(* 1/2 (pow re 2)) |
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(* (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))))) |
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(* 1/2 (pow re 2)) |
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(* (pow re 2) (+ 1/2 (/ 1 re))) |
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(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
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(* (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) |
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(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
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(* 1/2 re) |
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(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(* 1/2 re) |
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(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)) |
(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))) |
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(*.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)) |
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(* (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)) |
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(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)) |
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(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
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(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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)) |
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(* (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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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)) |
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(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 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
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(* (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) |
(+ 1/2 (* 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 (pow re 2)) |
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(* (pow re 2) (+ 1/2 (* 1/6 re))) |
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(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 1/6 (pow re 3)) |
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(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
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(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
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(*.f64 re (*.f64 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 (*.f64 im 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 (*.f64 im 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 |
#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)) |
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(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 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) |
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(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
(cos im) |
(cos.f64 im) |
-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 (*.f64 im 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 (*.f64 im 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 |
#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 (*.f64 im im) #s(literal 1/24 binary64)))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) |
(* 1/24 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))) |
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) |
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.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 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 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) |
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(cos.f64 im) |
(cos im) |
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(cos im) |
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(cos im) |
(cos.f64 im) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* im (+ 1/24 (* -1/720 (pow im 2)))) |
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(* 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 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720)) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
(* -1/720 (pow im 3)) |
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2)))))) |
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im))))) |
| 1× | batch-egg-rewrite |
| 5 924× | lower-fma.f32 |
| 5 902× | lower-fma.f64 |
| 4 280× | lower-*.f32 |
| 4 264× | lower-*.f64 |
| 3 438× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 315 |
| 0 | 81 | 319 |
| 1 | 315 | 309 |
| 2 | 2432 | 309 |
| 0 | 8495 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re 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 #s(approx (exp 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)) |
#s(approx (exp 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)) |
#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)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 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)) |
(*.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 (*.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) (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)) |
(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 re)) |
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(literal 1/24 binary64) #s(literal -1/2 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)) |
#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 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| Outputs |
|---|
(+.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 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) 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) |
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.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))) re) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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 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 (*.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))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))) (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re)))) |
(-.f64 (/.f64 #s(literal 1 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 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.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 (*.f64 re re) (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.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 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.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) re)) |
(fma.f64 #s(literal 1 binary64) (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 #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))) |
(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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 re (*.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)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 (*.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) re)) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 #s(literal 1 binary64) 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))))) |
(fma.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.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))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.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)))) #s(literal 1 binary64)) #s(literal 1 binary64))) re) |
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) re) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re (*.f64 re re))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re)) (*.f64 (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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))))) |
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re (*.f64 re re))) (fma.f64 re (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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)) (fma.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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 re (*.f64 re re))) (fma.f64 re re (-.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 (fma.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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (-.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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) |
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))) |
(/.f64 (*.f64 (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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)) im)) (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 (*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) im)) (neg.f64 (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 im (*.f64 im im)) (*.f64 (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal -1/373248000 binary64)) (*.f64 im (*.f64 im im)))) (fma.f64 (*.f64 im #s(literal 1/24 binary64)) (*.f64 im #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64))) (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64)))) (*.f64 (*.f64 im #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64))))))) |
(*.f64 im (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)) im) |
Compiled 32 531 to 2 293 computations (93% saved)
39 alts after pruning (30 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 073 | 10 | 1 083 |
| Fresh | 3 | 20 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 079 | 39 | 1 118 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 32.4% | (*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) | |
| 41.8% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #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)))) | |
| ✓ | 62.8% | (*.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)) |
| 36.9% | (*.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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 22.1% | (*.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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 41.1% | (*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 39.9% | (*.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 (*.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)))) | |
| ✓ | 60.3% | (*.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)) |
| 39.2% | (*.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 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 10.9% | (*.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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))) | |
| 50.1% | (*.f64 #s(approx (exp re) (/.f64 (-.f64 #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)) (*.f64 re (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)))) (cos.f64 im)) | |
| 62.8% | (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) | |
| ✓ | 47.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 33.7% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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)))) | |
| ✓ | 31.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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)))) |
| 28.9% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) | |
| 13.8% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))) | |
| 13.8% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) | |
| 18.2% | (*.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 (*.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)))) | |
| ✓ | 71.3% | #s(approx (* (exp re) (cos im)) (exp.f64 re)) |
| ✓ | 46.9% | #s(approx (* (exp re) (cos im)) (cos.f64 im)) |
| 31.4% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 29.6% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 37.3% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 35.5% | #s(approx (* (exp re) (cos im)) #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)))) | |
| 30.7% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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)))) | |
| 30.5% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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))))) | |
| 37.3% | #s(approx (* (exp re) (cos im)) #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)))))) | |
| ✓ | 28.5% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
| 12.0% | #s(approx (* (exp re) (cos im)) #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)))) | |
| 12.1% | #s(approx (* (exp re) (cos im)) #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))))))) | |
| 11.8% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) | |
| ✓ | 28.2% | #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| 28.4% | #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)))) | |
| 31.7% | #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)))) | |
| 28.8% | #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 1 505 to 557 computations (63% 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) |
(*.f64 #s(approx (exp 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 #s(approx (exp re) (/.f64 (-.f64 #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)) (*.f64 re (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)))) (cos.f64 im)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 15.0ms | re |
| 15.0ms | im |
| 14.0ms | (exp.f64 re) |
| 13.0ms | (cos.f64 im) |
| 12.0ms | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) |
(*.f64 #s(approx (exp 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 #s(approx (exp re) (/.f64 (-.f64 #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)) (*.f64 re (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)))) (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) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (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)) |
5 calls:
| 16.0ms | (cos.f64 im) |
| 14.0ms | im |
| 14.0ms | re |
| 13.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 11.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 4 | re |
| 80.9% | 2 | im |
| 99.1% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 95.2% | 3 | (exp.f64 re) |
| 80.2% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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)) |
| 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 (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 #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)) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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)) |
1 calls:
| 12.0ms | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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:
| 11.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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) #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 (*.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) (+.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 |
|---|---|---|
| 98.5% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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) #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 (*.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)) (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)) |
3 calls:
| 13.0ms | re |
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 9.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 3 | (exp.f64 re) |
| 94.7% | 4 | re |
| 98.3% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 14 to 10 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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) #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 (*.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)) (cos.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
#s(approx (* (exp re) (cos im)) (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))) #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)))) |
5 calls:
| 15.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 13.0ms | (cos.f64 im) |
| 11.0ms | im |
| 11.0ms | re |
| 11.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 3 | (cos.f64 im) |
| 55.2% | 2 | im |
| 70.9% | 3 | (exp.f64 re) |
| 70.9% | 3 | re |
| 74.8% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
(*.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 (*.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 (exp re) (fma.f64 re (/.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 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 #s(literal 1 binary64) re))) #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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (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 re)) #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 (* (exp re) (cos im)) #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) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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 (*.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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 16.0ms | (exp.f64 re) |
| 12.0ms | (cos.f64 im) |
| 11.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 11.0ms | im |
| 11.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 1 | im |
| 46.0% | 2 | (cos.f64 im) |
| 52.7% | 3 | (exp.f64 re) |
| 53.8% | 3 | re |
| 56.5% | 4 | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)))) |
| Outputs |
|---|
(*.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 (*.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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 8.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 4 | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.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 (*.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) (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 (*.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)))) |
| 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 (*.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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 4 | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
(*.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 (*.f64 im im) #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))) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 4 | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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) (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (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 (*.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) (+.f64 re #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)))) |
| 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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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)))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #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)))) |
(*.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)))) |
#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)))) |
| 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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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)))) |
2 calls:
| 6.0ms | re |
| 5.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 3 | re |
| 53.4% | 3 | (*.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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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)))) |
2 calls:
| 4.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 2 | (exp.f64 re) |
| 51.6% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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)))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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 (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:
| 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 |
|---|---|---|
| 39.1% | 2 | im |
| 37.3% | 1 | (exp.f64 re) |
| 43.1% | 2 | (cos.f64 im) |
| 37.3% | 1 | re |
| 43.2% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (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:
| 3.0ms | (cos.f64 im) |
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 2 | (cos.f64 im) |
| 41.0% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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)))) |
| 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)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) |
2 calls:
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 3.0ms | (cos.f64 im) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 2 | (cos.f64 im) |
| 41.1% | 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 (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)))) |
#s(approx (* (exp re) (cos im)) #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)))) |
| 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:
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 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 (cos im) (fma.f64 im (*.f64 im #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)))) |
5 calls:
| 3.0ms | re |
| 2.0ms | im |
| 2.0ms | (cos.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.5% | 2 | re |
| 31.5% | 2 | (exp.f64 re) |
| 32.0% | 2 | (cos.f64 im) |
| 30.6% | 2 | im |
| 32.2% | 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)))) |
| Outputs |
|---|
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
5 calls:
| 2.0ms | (cos.f64 im) |
| 2.0ms | re |
| 2.0ms | im |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | im |
| 28.5% | 1 | (exp.f64 re) |
| 28.5% | 1 | re |
| 28.5% | 1 | (cos.f64 im) |
| 28.5% | 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:
| 2.0ms | (cos.f64 im) |
| 1.0ms | im |
| 1.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 28.2% | 1 | (cos.f64 im) |
| 28.2% | 1 | re |
| 28.2% | 1 | (exp.f64 re) |
| 28.2% | 1 | im |
Compiled 21 to 15 computations (28.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999709412 | 0.9999999999798941 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999709412 | 0.9999999999798941 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999709412 | 0.9999999999798941 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999709412 | 0.9999999999798941 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999709412 | 0.9999999999798941 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
| 0.0ms | -inf | -1.9280428040956947 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.11228171164605293 | -0.078377583353219 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9939909473357109 | 0.9999999995003475 |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
| 0.0ms | -0.052711690075556 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.390455388829624e-25 | 0.001141960459568053 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000049594 | +inf |
| 0.0ms | 0.0 | 5.390455388829624e-25 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.390455388829624e-25 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 50× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1778 |
| 1 | 174 | 1778 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (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 -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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))) #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)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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 (*.f64 im 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/36028797018963968 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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 5444517870735015/5444517870735015415413993718908291383296 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 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) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re 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)))) #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)))) #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) (+.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 (*.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 -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 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) #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 (*.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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))) #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)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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 (*.f64 im 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/36028797018963968 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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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 (*.f64 im im) #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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 -3602879701896397/72057594037927936 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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im 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 5444517870735015/5444517870735015415413993718908291383296 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 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) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re 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)))) #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)))) #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) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) |
| 19 240× | lower-fma.f64 |
| 19 240× | lower-fma.f32 |
| 17 940× | lower-fma.f64 |
| 17 940× | lower-fma.f32 |
| 15 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 315 |
| 0 | 81 | 319 |
| 1 | 315 | 309 |
| 2 | 2432 | 309 |
| 0 | 8495 | 308 |
| 0 | 33 | 203 |
| 0 | 57 | 203 |
| 1 | 222 | 203 |
| 2 | 1669 | 203 |
| 0 | 8232 | 203 |
| 0 | 140 | 2509 |
| 1 | 424 | 2446 |
| 2 | 1175 | 2410 |
| 3 | 4027 | 2358 |
| 4 | 7695 | 2358 |
| 0 | 8235 | 2121 |
| 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 | 125 | 1819 |
| 1 | 366 | 1760 |
| 2 | 1015 | 1732 |
| 3 | 2924 | 1696 |
| 0 | 8006 | 1537 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 122 to 808 computations (61.9% saved)
(abs im)
Compiled 2 268 to 238 computations (89.5% saved)
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