
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 705.0ms | 8 256× | 0 | valid |
ival-cos: 192.0ms (48.1% of total)ival-exp: 127.0ms (31.8% of total)ival-mult: 73.0ms (18.3% of total)ival-true: 5.0ms (1.3% 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 |
| 1 | 6 | 5 |
| 0 | 6 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (exp re) (cos im)) |
| Outputs |
|---|
(* (exp re) (cos im)) |
(*.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 |
| 50.0ms | 512× | 0 | valid |
Compiled 40 to 24 computations (40% saved)
ival-cos: 30.0ms (79.7% of total)ival-exp: 4.0ms (10.6% of total)ival-mult: 3.0ms (8% 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× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | cos-lowering-cos.f32 |
| 2× | *-commutative |
| 2× | exp-lowering-exp.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 6 | 11 |
| 0 | 6 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (exp re) (cos im)) |
(exp re) |
re |
(cos im) |
im |
| Outputs |
|---|
(* (exp re) (cos im)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(exp re) |
(exp.f64 re) |
re |
(cos im) |
(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)) |
| 24.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-cos: 5.0ms (57.2% of total)ival-exp: 2.0ms (22.9% of total)ival-mult: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (exp re) (cos im))> |
#<alt (exp re)> |
#<alt (cos 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 | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | (* (exp re) (cos im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (cos im)) |
| 0.0ms | re | @ | 0 | (* (exp re) (cos im)) |
| 0.0ms | re | @ | -inf | (* (exp re) (cos im)) |
| 0.0ms | im | @ | inf | (* (exp re) (cos im)) |
| 1× | batch-egg-rewrite |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | cos-lowering-cos.f32 |
| 2× | *-commutative |
| 2× | exp-lowering-exp.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 6 | 9 |
| 0 | 6 | 9 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (exp re) (cos im)) |
(exp re) |
(cos im) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(exp.f64 re) |
(cos.f64 im) |
| 1× | egg-herbie |
| 17 940× | accelerator-lowering-fma.f32 |
| 17 940× | accelerator-lowering-fma.f64 |
| 3 878× | *-lowering-*.f32 |
| 3 878× | *-lowering-*.f64 |
| 2 422× | --lowering--.f32 |
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) |
Compiled 336 to 39 computations (88.4% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 7 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 8 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.0% | (*.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)) (cos.f64 im)) |
| 67.3% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) | |
| ▶ | 53.6% | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| 54.5% | (*.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))) | |
| ▶ | 58.6% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ▶ | 65.9% | (exp.f64 re) |
| ▶ | 52.4% | (cos.f64 im) |
Compiled 147 to 103 computations (29.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 im #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (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) (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 | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| ✓ | cost-diff | 0 | (exp.f64 re) |
| ✓ | cost-diff | 0 | (cos.f64 im) |
| ✓ | cost-diff | 0 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 | (*.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)) (cos.f64 im)) |
| 1 432× | accelerator-lowering-fma.f32 |
| 1 432× | accelerator-lowering-fma.f64 |
| 620× | *-lowering-*.f32 |
| 620× | *-lowering-*.f64 |
| 384× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 96 |
| 1 | 56 | 96 |
| 2 | 130 | 96 |
| 3 | 311 | 96 |
| 4 | 516 | 96 |
| 5 | 990 | 96 |
| 6 | 1128 | 96 |
| 0 | 1128 | 85 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im)) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
re |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
1/6 |
1/2 |
1 |
(cos im) |
im |
(cos im) |
im |
(exp re) |
re |
(* (+ re 1) (cos im)) |
(+ re 1) |
re |
1 |
(cos im) |
im |
(* (exp re) (+ (* im (* im -1/2)) 1)) |
(exp re) |
re |
(+ (* im (* im -1/2)) 1) |
im |
(* im -1/2) |
-1/2 |
1 |
| Outputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im)) |
(*.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)) (cos.f64 im)) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(fma.f64 re (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 |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ (* re 1/6) 1/2) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(cos im) |
(cos.f64 im) |
im |
(cos im) |
(cos.f64 im) |
im |
(exp re) |
(exp.f64 re) |
re |
(* (+ re 1) (cos im)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
re |
1 |
#s(literal 1 binary64) |
(cos im) |
(cos.f64 im) |
im |
(* (exp re) (+ (* im (* im -1/2)) 1)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp re) |
(exp.f64 re) |
re |
(+ (* im (* im -1/2)) 1) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
im |
(* im -1/2) |
(*.f64 im #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 im #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 93.5% | (*.f64 (exp.f64 re) (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 | 99.9% | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (*.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)) (cos.f64 im)) |
| ✓ | accuracy | 99.9% | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 47.0ms | 256× | 0 | valid |
Compiled 87 to 23 computations (73.6% saved)
ival-mult: 13.0ms (41.6% of total)ival-cos: 6.0ms (19.2% of total)ival-add: 5.0ms (16% of total)const: 4.0ms (12.8% of total)ival-exp: 2.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))> |
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)> |
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)> |
#<alt (+ (* re 1/6) 1/2)> |
#<alt (cos im)> |
#<alt (exp re)> |
#<alt (* (+ re 1) (cos im))> |
#<alt (+ re 1)> |
#<alt (* (exp re) (+ (* im (* im -1/2)) 1))> |
#<alt (+ (* im (* im -1/2)) 1)> |
#<alt (* im -1/2)> |
| 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 (* 1/6 (* (pow re 3) (cos im)))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))> |
#<alt (* 1/6 (* (pow re 3) (cos im)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))> |
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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> |
#<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 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)))> |
#<alt (+ (cos im) (* re (cos im)))> |
#<alt (* re (cos im))> |
#<alt (* re (+ (cos im) (/ (cos im) re)))> |
#<alt (* re (+ (cos im) (/ (cos im) re)))> |
#<alt (* re (+ (cos im) (/ (cos im) re)))> |
#<alt (* re (cos im))> |
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))> |
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))> |
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))> |
#<alt (+ 1 re)> |
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))> |
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))> |
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 re))> |
#<alt (* (cos im) (+ 1 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 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))> |
#<alt (exp re)> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))> |
#<alt (* -1/2 (* (pow im 2) (exp re)))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<alt (* -1/2 (* (pow im 2) (exp re)))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))> |
#<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 (* -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)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | inf | (* (+ re 1) (cos im)) |
| 1.0ms | im | @ | 0 | (* (+ re 1) (cos im)) |
| 1.0ms | im | @ | inf | (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im)) |
| 1.0ms | re | @ | -inf | (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im)) |
| 1.0ms | re | @ | inf | (* (exp re) (+ (* im (* im -1/2)) 1)) |
| 1× | batch-egg-rewrite |
| 9 754× | accelerator-lowering-fma.f32 |
| 9 754× | accelerator-lowering-fma.f64 |
| 6 094× | *-lowering-*.f32 |
| 6 094× | *-lowering-*.f64 |
| 4 090× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 76 |
| 1 | 112 | 76 |
| 2 | 910 | 76 |
| 0 | 8507 | 65 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im)) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
(cos im) |
(exp re) |
(* (+ re 1) (cos im)) |
(+ re 1) |
(* (exp re) (+ (* im (* im -1/2)) 1)) |
(+ (* im (* im -1/2)) 1) |
(* im -1/2) |
| Outputs |
|---|
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) |
(+.f64 (cos.f64 im) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (cos.f64 im)))) |
(+.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (cos.f64 im)) |
(+.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (cos.f64 im))) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(+.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) (*.f64 re (cos.f64 im))) |
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (cos.f64 im)))) |
(fma.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 (cos.f64 im))) (cos.f64 im)) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (cos.f64 im)) (cos.f64 im)) |
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (cos.f64 im) (cos.f64 im)) |
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) |
(fma.f64 (cos.f64 im) #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 (cos.f64 im)))) |
(fma.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (cos.f64 im)) |
(fma.f64 (cos.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 im) re)) |
(fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (cos.f64 im) re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64) (cos.f64 im)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im) (*.f64 re (cos.f64 im))) |
(fma.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re (cos.f64 im)) |
(/.f64 #s(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)) (*.f64 (cos.f64 im) (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 (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))))) |
(/.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)) (*.f64 (cos.f64 im) (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))))) |
(/.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)) (*.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 (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)) (cos.f64 im)))) |
(/.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)) (*.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)) (cos.f64 im)))) |
(/.f64 (cos.f64 im) (/.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)))) |
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(neg.f64 (/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) |
(/.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal 1/16 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (+.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal 1/16 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im))))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im im)) #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(*.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)) |
| 1× | egg-herbie |
| 15 940× | accelerator-lowering-fma.f32 |
| 15 940× | accelerator-lowering-fma.f64 |
| 4 296× | +-lowering-+.f64 |
| 4 296× | +-lowering-+.f32 |
| 4 130× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 1490 |
| 1 | 655 | 1400 |
| 2 | 2371 | 1332 |
| 3 | 6964 | 1328 |
| 0 | 8132 | 1177 |
| 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))))))) |
(* 1/6 (* (pow re 3) (cos im))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3)))))) |
(* 1/6 (* (pow re 3) (cos im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im))))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))) |
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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 |
(+ 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 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))) |
(+ (cos im) (* re (cos im))) |
(* re (cos im)) |
(* re (+ (cos im) (/ (cos im) re))) |
(* re (+ (cos im) (/ (cos im) re))) |
(* re (+ (cos im) (/ (cos im) re))) |
(* re (cos im)) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(+ 1 re) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re))))))) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re)))))))) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 re)) |
(* (cos im) (+ 1 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 (* -1/2 (pow im 2))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2)))))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2)))))))))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))))))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(exp re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(* -1/2 (* (pow im 2) (exp re))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(* -1/2 (* (pow im 2) (exp re))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
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)) |
(* -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))) |
(* 1/6 (* (pow re 3) (cos im))) |
(*.f64 (cos.f64 im) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re)))) |
(*.f64 (cos.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2))))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (*.f64 re re)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3)))))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 (/.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 (cos.f64 im) (*.f64 re (*.f64 re re)))))) |
(* 1/6 (* (pow re 3) (cos im))) |
(*.f64 (cos.f64 im) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im))))) |
(*.f64 (cos.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 (cos.f64 im) #s(literal 1/6 binary64) (/.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (cos.f64 im) re)) re))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 (cos.f64 im) #s(literal 1/6 binary64) (/.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) (neg.f64 re))) re))) |
(+ 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 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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))) |
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 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)) (fma.f64 (*.f64 im im) (*.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 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) |
(fma.f64 im (*.f64 im (*.f64 (*.f64 im (fma.f64 im (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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)))) |
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(*.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))) |
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 (*.f64 re 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 #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))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re))) |
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)) |
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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(fma.f64 im (*.f64 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 (*.f64 im 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 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))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (cos im) (* re (cos im))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* re (cos im)) |
(*.f64 (cos.f64 im) re) |
(* re (+ (cos im) (/ (cos im) re))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* re (+ (cos im) (/ (cos im) re))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* re (+ (cos im) (/ (cos im) re))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* re (cos im)) |
(*.f64 (cos.f64 im) re) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re))))) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (fma.f64 im re im)) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) re)) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re)))))))) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im (fma.f64 im re im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
(* (cos im) (+ 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) |
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 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2)))))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2)))))))))) |
(fma.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))))))) |
(fma.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (exp re) (+ 1 (* -1/2 (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* -1/2 (* (pow im 2) (exp re))) |
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* -1/2 (* (pow im 2) (exp re))) |
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 im im)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* -1/2 (pow im 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 im im)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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)) |
Compiled 18 014 to 1 872 computations (89.6% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 18 | 744 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 726 | 26 | 752 |
| Status | Accuracy | Program |
|---|---|---|
| 29.9% | (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)) | |
| ▶ | 38.2% | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 36.3% | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 26.8% | (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 27.1% | (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) | |
| 26.8% | (+.f64 re #s(literal 1 binary64)) | |
| 55.3% | (*.f64 (fma.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) | |
| 19.6% | (*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) | |
| 37.4% | (*.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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| ✓ | 70.0% | (*.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)) (cos.f64 im)) |
| 36.5% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 67.3% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
| 57.2% | (*.f64 (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (cos.f64 im)) | |
| ▶ | 70.0% | (*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| ▶ | 28.9% | (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| 29.3% | (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 53.6% | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| 19.9% | (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) | |
| 19.4% | (*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) | |
| 54.5% | (*.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))) | |
| ✓ | 58.6% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 3.9% | (*.f64 (cos.f64 im) re) | |
| ✓ | 65.9% | (exp.f64 re) |
| ✓ | 52.4% | (cos.f64 im) |
| ▶ | 26.2% | #s(literal 1 binary64) |
Compiled 633 to 405 computations (36% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 im) |
| ✓ | 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 | (*.f64 (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 | (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 im (*.f64 im (fma.f64 im (*.f64 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 | (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 | (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| ✓ | cost-diff | 128 | (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) |
| 9 504× | accelerator-lowering-fma.f32 |
| 9 504× | accelerator-lowering-fma.f64 |
| 1 788× | distribute-lft-in |
| 1 680× | +-lowering-+.f64 |
| 1 680× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 1 | 89 | 180 |
| 2 | 221 | 180 |
| 3 | 717 | 180 |
| 4 | 1927 | 180 |
| 5 | 3360 | 180 |
| 6 | 3656 | 180 |
| 7 | 3741 | 180 |
| 8 | 3758 | 180 |
| 9 | 3758 | 180 |
| 10 | 4302 | 180 |
| 11 | 5012 | 180 |
| 12 | 5456 | 180 |
| 13 | 5458 | 180 |
| 14 | 5458 | 180 |
| 15 | 5506 | 180 |
| 16 | 5508 | 180 |
| 17 | 5508 | 180 |
| 18 | 5820 | 180 |
| 19 | 5824 | 180 |
| 20 | 5824 | 180 |
| 21 | 5824 | 180 |
| 0 | 5824 | 153 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) (cos im)) |
(+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) |
(+ (* re (* re (+ (* re 1/6) 1/2))) 1) |
re |
(* re (+ (* re 1/6) 1/2)) |
(+ (* re 1/6) 1/2) |
1/6 |
1/2 |
1 |
(cos im) |
im |
1 |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
re |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
1/6 |
1/2 |
1 |
(* (+ re 1) (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)) |
(+ re 1) |
re |
1 |
(+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1) |
im |
(* im (+ (* im (* im 1/24)) -1/2)) |
(+ (* im (* im 1/24)) -1/2) |
(* im 1/24) |
1/24 |
-1/2 |
(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im)) |
(+ (* re (+ (* re 1/2) 1)) 1) |
re |
(+ (* re 1/2) 1) |
1/2 |
1 |
(cos im) |
im |
| Outputs |
|---|
(* (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) (cos im)) |
(*.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)) (cos.f64 im)) |
(+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) |
(fma.f64 re (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 (* re (+ (* re 1/6) 1/2))) 1) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
re |
(* re (+ (* re 1/6) 1/2)) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(+ (* re 1/6) 1/2) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(cos im) |
(cos.f64 im) |
im |
1 |
#s(literal 1 binary64) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(fma.f64 re (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 |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ (* re 1/6) 1/2) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(* (+ re 1) (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
re |
1 |
#s(literal 1 binary64) |
(+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1) |
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) |
im |
(* im (+ (* im (* im 1/24)) -1/2)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(+ (* im (* im 1/24)) -1/2) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* im 1/24) |
(*.f64 im #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* (+ (* re (+ (* re 1/2) 1)) 1) (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))) |
(+ (* re (+ (* re 1/2) 1)) 1) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(+ (* re 1/2) 1) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(cos im) |
(cos.f64 im) |
im |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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% | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
| ✓ | accuracy | 100.0% | (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 im #s(literal 1/24 binary64)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| ✓ | accuracy | 99.9% | (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 68.0ms | 256× | 0 | valid |
Compiled 157 to 33 computations (79% saved)
ival-mult: 19.0ms (37.9% of total)ival-add: 18.0ms (35.9% of total)const: 7.0ms (14% of total)ival-cos: 6.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re)> |
#<alt (* (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) (cos im))> |
#<alt (+ (* re (* re (+ (* re 1/6) 1/2))) 1)> |
#<alt (* re (+ (* re 1/6) 1/2))> |
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)> |
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)> |
#<alt (+ (* re 1/6) 1/2)> |
#<alt (* (+ re 1) (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1))> |
#<alt (+ re 1)> |
#<alt (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)> |
#<alt (* im (+ (* im (* im 1/24)) -1/2))> |
#<alt (* (+ (* re (+ (* re 1/2) 1)) 1) (cos im))> |
#<alt (+ (* re (+ (* re 1/2) 1)) 1)> |
#<alt (+ (* re 1/2) 1)> |
#<alt (cos im)> |
#<alt (* im 1/24)> |
#<alt (+ (* im (* im 1/24)) -1/2)> |
| 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 (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 (* 1/6 (* (pow re 3) (cos im)))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))> |
#<alt (* 1/6 (* (pow re 3) (cos im)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))> |
#<alt (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))> |
#<alt (+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<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 (* 1/2 re)> |
#<alt (* re (+ 1/2 (* 1/6 re)))> |
#<alt (* re (+ 1/2 (* 1/6 re)))> |
#<alt (* 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))))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))> |
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))> |
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))> |
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))> |
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))> |
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))> |
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))> |
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))> |
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))> |
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))> |
#<alt (+ 1 re)> |
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))> |
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))> |
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))> |
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))> |
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))> |
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))> |
#<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) (- (* 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 (* -1/2 im)> |
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))> |
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))> |
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))> |
#<alt (* 1/24 (pow im 3))> |
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))> |
#<alt (* 1/24 (pow im 3))> |
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))> |
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))> |
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))> |
#<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) (* 1/2 (* re (cos im))))))> |
#<alt (* 1/2 (* (pow re 2) (cos im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))> |
#<alt (* 1/2 (* (pow re 2) (cos im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))> |
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))> |
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 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> |
#<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 (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 im)> |
#<alt (* 1/24 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)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | -inf | (* im (+ (* im (* im 1/24)) -1/2)) |
| 2.0ms | re | @ | inf | (+ (* re (* re (+ (* re 1/6) 1/2))) 1) |
| 1.0ms | im | @ | inf | (* (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) (cos im)) |
| 1.0ms | im | @ | inf | (* (+ (* re (+ (* re 1/2) 1)) 1) (cos im)) |
| 1.0ms | re | @ | 0 | (* (+ re 1) (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)) |
| 1× | batch-egg-rewrite |
| 5 772× | accelerator-lowering-fma.f32 |
| 5 772× | accelerator-lowering-fma.f64 |
| 4 424× | /-lowering-/.f32 |
| 4 424× | /-lowering-/.f64 |
| 4 256× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 154 |
| 1 | 197 | 154 |
| 2 | 1757 | 154 |
| 0 | 8477 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) |
(* (+ (+ (* re (* re (+ (* re 1/6) 1/2))) 1) re) (cos im)) |
(+ (* re (* re (+ (* re 1/6) 1/2))) 1) |
(* re (+ (* re 1/6) 1/2)) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
(* (+ re 1) (+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1)) |
(+ re 1) |
(+ (* im (* im (+ (* im (* im 1/24)) -1/2))) 1) |
(* im (+ (* im (* im 1/24)) -1/2)) |
(* (+ (* re (+ (* re 1/2) 1)) 1) (cos im)) |
(+ (* re (+ (* re 1/2) 1)) 1) |
(+ (* re 1/2) 1) |
(cos im) |
(* im 1/24) |
(+ (* im (* im 1/24)) -1/2) |
| Outputs |
|---|
(+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 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 #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 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) |
(cos.f64 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) im) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 im #s(literal 1/24 binary64)) im #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64)) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 im (*.f64 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)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64)) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 im im))))) |
| 1× | egg-herbie |
| 15 224× | accelerator-lowering-fma.f32 |
| 15 224× | accelerator-lowering-fma.f64 |
| 4 612× | *-lowering-*.f32 |
| 4 612× | *-lowering-*.f64 |
| 4 342× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 2641 |
| 1 | 838 | 2551 |
| 2 | 3094 | 2324 |
| 3 | 7305 | 2318 |
| 0 | 8110 | 2066 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(* 1/6 (* (pow re 3) (cos im))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3)))))) |
(* 1/6 (* (pow re 3) (cos im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im))))) |
(+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))) |
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
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))) |
(* 1/2 re) |
(* re (+ 1/2 (* 1/6 re))) |
(* re (+ 1/2 (* 1/6 re))) |
(* 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)))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re))))) |
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) |
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re))))) |
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re))))) |
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re))))) |
(+ 1 re) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re))))))) |
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re))))))) |
(* 1/24 (* (pow im 4) (+ 1 re))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re)))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) |
(* 1/24 (* (pow im 4) (+ 1 re))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re)))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) |
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4)))))) |
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) (- (* 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))))) |
(* -1/2 im) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
(* im (- (* 1/24 (pow im 2)) 1/2)) |
(* 1/24 (pow im 3)) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(* 1/24 (pow im 3)) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(* 1/2 (* (pow re 2) (cos im))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2))))) |
(* 1/2 (* (pow re 2) (cos im))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))) |
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))))))) |
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re))))))))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 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 |
(+ 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) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
(* 1/24 im) |
-1/2 |
(- (* 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))))) |
| 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 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (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 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) |
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im)) |
(* 1/6 (* (pow re 3) (cos im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re)))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (cos.f64 im)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im)))) |
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3)))))) |
(fma.f64 re (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (cos.f64 im)) (/.f64 (*.f64 re (cos.f64 im)) re))) |
(* 1/6 (* (pow re 3) (cos im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im))))) |
(neg.f64 (*.f64 re (fma.f64 (*.f64 re re) (*.f64 (cos.f64 im) #s(literal -1/6 binary64)) (/.f64 (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im))) (neg.f64 re))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im))))) |
(-.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))) (*.f64 re re))) |
(+ 1 (+ re (* (pow re 2) (+ 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 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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))) |
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(fma.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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 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))) |
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/24 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 (fma.f64 re (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 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(* (cos im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.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))) |
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)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (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)) |
(* (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)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) re))) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (* 1/6 re))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* re (+ 1/2 (* 1/6 re))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* re (+ 1/2 (* 1/6 re))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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))) |
(* 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)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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))) |
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 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (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 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
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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)) |
(* (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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 (*.f64 im 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) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
(* 1/24 im) |
(*.f64 im #s(literal 1/24 binary64)) |
-1/2 |
#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))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* 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))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) |
(*.f64 (*.f64 im im) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im)))) |
Compiled 41 864 to 3 056 computations (92.7% saved)
47 alts after pruning (37 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 242 | 28 | 1 270 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 249 | 47 | 1 296 |
| Status | Accuracy | Program |
|---|---|---|
| 7.4% | (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) | |
| 14.3% | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) | |
| 30.4% | (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)) | |
| 39.3% | (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) | |
| 29.9% | (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)) | |
| 38.2% | (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ✓ | 38.2% | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 27.8% | (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 38.2% | (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)) | |
| 37.7% | (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 36.3% | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 38.2% | (fma.f64 re (/.f64 #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)) |
| 37.2% | (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| 37.2% | (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| 26.8% | (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 27.1% | (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) | |
| 28.7% | (/.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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| 30.4% | (/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) | |
| 38.2% | (/.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)))) | |
| ▶ | 26.8% | (+.f64 re #s(literal 1 binary64)) |
| 55.3% | (*.f64 (fma.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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (cos.f64 im)) | |
| 19.6% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) | |
| ▶ | 67.6% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ✓ | 70.0% | (*.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)) (cos.f64 im)) |
| 35.9% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 36.5% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 67.3% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
| 57.2% | (*.f64 (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (cos.f64 im)) | |
| 14.5% | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) | |
| 17.5% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) | |
| ▶ | 29.3% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
| ✓ | 70.0% | (*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| 8.2% | (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) | |
| 14.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) | |
| ✓ | 53.6% | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| 14.0% | (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) | |
| 19.9% | (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) | |
| 19.4% | (*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) | |
| 17.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) | |
| 54.5% | (*.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))) | |
| ✓ | 58.6% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ▶ | 3.9% | (*.f64 (cos.f64 im) re) |
| 14.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) | |
| ✓ | 65.9% | (exp.f64 re) |
| ✓ | 52.4% | (cos.f64 im) |
| ✓ | 26.2% | #s(literal 1 binary64) |
Compiled 1 306 to 795 computations (39.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 im) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 im) re) |
| ✓ | 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 | (/.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))) |
| ✓ | cost-diff | 0 | (fma.f64 re (/.f64 #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)) |
| ✓ | cost-diff | 1408 | (/.f64 #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)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) re) |
| ✓ | cost-diff | 0 | (*.f64 im im) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
| ✓ | cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 re re) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ✓ | cost-diff | 128 | (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
| 1 106× | accelerator-lowering-fma.f32 |
| 1 106× | accelerator-lowering-fma.f64 |
| 496× | *-lowering-*.f32 |
| 496× | *-lowering-*.f64 |
| 268× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 125 |
| 1 | 65 | 125 |
| 2 | 156 | 125 |
| 3 | 368 | 125 |
| 4 | 681 | 125 |
| 5 | 796 | 125 |
| 6 | 799 | 125 |
| 7 | 807 | 125 |
| 8 | 821 | 125 |
| 9 | 821 | 125 |
| 0 | 821 | 109 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (+ (* (* re re) 1/2) (+ re 1)) (cos im)) |
(+ (* (* re re) 1/2) (+ re 1)) |
(* re re) |
re |
1/2 |
(+ re 1) |
1 |
(cos im) |
im |
(+ re 1) |
re |
1 |
(* (+ (* -1/2 (* im im)) 1) (+ 1 re)) |
(+ (* -1/2 (* im im)) 1) |
-1/2 |
(* im im) |
im |
1 |
(+ 1 re) |
re |
(+ (* re (/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)))) 1) |
re |
(/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1))) |
1 |
(/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
1/6 |
1/2 |
(* (cos im) re) |
(cos im) |
im |
re |
| Outputs |
|---|
(* (+ (* (* re re) 1/2) (+ re 1)) (cos im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(+ (* (* re re) 1/2) (+ re 1)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* re re) |
(*.f64 re re) |
re |
1/2 |
#s(literal 1/2 binary64) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(cos im) |
(cos.f64 im) |
im |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
re |
1 |
#s(literal 1 binary64) |
(* (+ (* -1/2 (* im im)) 1) (+ 1 re)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (* -1/2 (* im im)) 1) |
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* im im) |
(*.f64 im im) |
im |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
re |
(+ (* re (/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)))) 1) |
(fma.f64 re (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 |
(/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)) |
(/.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))) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ (* re 1/6) 1/2) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (cos im) re) |
(*.f64 re (cos.f64 im)) |
(cos im) |
(cos.f64 im) |
im |
re |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 im) re) |
| ✓ | 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% | (/.f64 #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)))) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (/.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))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) re) |
| ✓ | accuracy | 100.0% | (*.f64 im im) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
| ✓ | accuracy | 100.0% | (+.f64 re #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 re re) |
| ✓ | accuracy | 100.0% | (cos.f64 im) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
| 150.0ms | 256× | 0 | valid |
Compiled 121 to 28 computations (76.9% saved)
const: 60.0ms (64.8% of total)ival-mult: 16.0ms (17.3% of total)ival-add: 7.0ms (7.6% of total)ival-cos: 6.0ms (6.5% of total)ival-div: 3.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* re re) 1/2) (+ re 1))> |
#<alt (* (+ (* (* re re) 1/2) (+ re 1)) (cos im))> |
#<alt (* re re)> |
#<alt (+ re 1)> |
#<alt (* (+ (* -1/2 (* im im)) 1) (+ 1 re))> |
#<alt (+ (* -1/2 (* im im)) 1)> |
#<alt (* im im)> |
#<alt (+ 1 re)> |
#<alt (/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)))> |
#<alt (+ (* re (/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)))) 1)> |
#<alt (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1))> |
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)> |
#<alt (* (cos im) re)> |
#<alt (cos im)> |
#<alt (+ (* re 1/6) 1/2)> |
| Outputs |
|---|
#<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 (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) (* 1/2 (* re (cos im))))))> |
#<alt (* 1/2 (* (pow re 2) (cos im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))> |
#<alt (* 1/2 (* (pow re 2) (cos im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))> |
#<alt (+ 1 (+ re (* 1/2 (pow re 2))))> |
#<alt (+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/2 (pow re 2)))))> |
#<alt (+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))))))))> |
#<alt (+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/24 (+ 1 (+ re (* 1/2 (pow re 2))))))))))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (* (cos im) (+ 1 (+ re (* 1/2 (pow re 2)))))> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<alt (pow re 2)> |
#<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 re)> |
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))> |
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))> |
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))> |
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (+ 1 (* -1/2 (pow im 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))> |
#<alt (* re (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))> |
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))> |
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))> |
#<alt (* re (+ 1 (* -1/2 (pow im 2))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))> |
#<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 (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<alt (pow im 2)> |
#<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 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> |
#<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 (- (* 1/12 re) 1/2)))> |
#<alt (+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))> |
#<alt (/ 6 (pow re 2))> |
#<alt (/ (- 6 (* 18 (/ 1 re))) (pow re 2))> |
#<alt (/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))> |
#<alt (/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))> |
#<alt (/ 6 (pow re 2))> |
#<alt (/ (- 6 (* 18 (/ 1 re))) (pow re 2))> |
#<alt (/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))> |
#<alt (/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))> |
#<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 re> |
#<alt (+ re (* -1/2 (* (pow im 2) re)))> |
#<alt (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))> |
#<alt (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<alt (* re (cos im))> |
#<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))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | inf | (* (+ (* (* re re) 1/2) (+ re 1)) (cos im)) |
| 0.0ms | re | @ | 0 | (* (cos im) re) |
| 0.0ms | im | @ | 0 | (* (+ (* (* re re) 1/2) (+ re 1)) (cos im)) |
| 0.0ms | re | @ | inf | (* (cos im) re) |
| 0.0ms | im | @ | -inf | (* (cos im) re) |
| 1× | batch-egg-rewrite |
| 5 166× | accelerator-lowering-fma.f32 |
| 5 166× | accelerator-lowering-fma.f64 |
| 4 352× | /-lowering-/.f32 |
| 4 352× | /-lowering-/.f64 |
| 3 608× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 104 |
| 1 | 157 | 104 |
| 2 | 1405 | 104 |
| 0 | 8221 | 90 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* re re) 1/2) (+ re 1)) |
(* (+ (* (* re re) 1/2) (+ re 1)) (cos im)) |
(* re re) |
(+ re 1) |
(* (+ (* -1/2 (* im im)) 1) (+ 1 re)) |
(+ (* -1/2 (* im im)) 1) |
(* im im) |
(+ 1 re) |
(/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1))) |
(+ (* re (/ 1 (/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)))) 1) |
(/ 1 (+ (* re (+ (* re 1/6) 1/2)) 1)) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(* (cos im) re) |
(cos im) |
(+ (* re 1/6) 1/2) |
| Outputs |
|---|
(+.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re)))) |
(+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re)) (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re))) |
(-.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal -1 binary64)))) |
(fma.f64 re #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.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 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/2 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 #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.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 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 re #s(literal -1 binary64)))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) |
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(*.f64 re (cos.f64 im)) |
(*.f64 (cos.f64 im) re) |
(cos.f64 im) |
(*.f64 #s(literal 1 binary64) (cos.f64 im)) |
(*.f64 (cos.f64 im) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) |
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))) |
(/.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))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 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)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
| 1× | egg-herbie |
| 16 594× | accelerator-lowering-fma.f32 |
| 16 594× | accelerator-lowering-fma.f64 |
| 3 916× | *-lowering-*.f32 |
| 3 916× | *-lowering-*.f64 |
| 3 464× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 1708 |
| 1 | 650 | 1616 |
| 2 | 2006 | 1544 |
| 3 | 6663 | 1542 |
| 0 | 8182 | 1372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(cos im) |
(+ (cos im) (* re (cos im))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) |
(* 1/2 (* (pow re 2) (cos im))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2))))) |
(* 1/2 (* (pow re 2) (cos im))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im)))) |
(+ 1 (+ re (* 1/2 (pow re 2)))) |
(+ 1 (+ re (+ (* -1/2 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/2 (pow re 2))))) |
(+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* 1/24 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2))))))))))) |
(+ 1 (+ re (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/2 (+ 1 (+ re (* 1/2 (pow re 2))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (+ re (* 1/2 (pow re 2)))))) (* 1/24 (+ 1 (+ re (* 1/2 (pow re 2)))))))))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(* (cos im) (+ 1 (+ re (* 1/2 (pow re 2))))) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
(pow re 2) |
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 re) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re))))) |
(* -1/2 (* (pow im 2) (+ 1 re))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* -1/2 (* (pow im 2) (+ 1 re))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2)))))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2)))))) |
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2)))))) |
(* re (+ 1 (* -1/2 (pow im 2)))) |
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re))))) |
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re))))) |
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re))))) |
(* re (+ 1 (* -1/2 (pow im 2)))) |
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))))) |
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))))) |
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))))) |
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)) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
(pow im 2) |
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 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 |
(+ 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 (- (* 1/12 re) 1/2))) |
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2))) |
(/ 6 (pow re 2)) |
(/ (- 6 (* 18 (/ 1 re))) (pow re 2)) |
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2)) |
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2)) |
(/ 6 (pow re 2)) |
(/ (- 6 (* 18 (/ 1 re))) (pow re 2)) |
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2)) |
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2)) |
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))))) |
re |
(+ re (* -1/2 (* (pow im 2) re))) |
(+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re))))) |
(+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re)))))) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
(* re (cos im)) |
1 |
(+ 1 (* -1/2 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) |
(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)))) |
| 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 (* 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 #s(literal 1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) 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 #s(literal 1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(cos im) |
(cos.f64 im) |
(+ (cos im) (* re (cos im))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)) |
(+ (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) (* 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))) |
(* 1/2 (* (pow re 2) (cos im))) |
(*.f64 re (*.f64 re (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))) |
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re))) |
(*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im))) |
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(* (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)) |
re |
(+ re (* -1/2 (* (pow im 2) re))) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re))))) |
(fma.f64 (*.f64 re (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) |
(+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re)))))) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
(* re (cos im)) |
(*.f64 re (cos.f64 im)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow im 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 im (*.f64 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)) |
Compiled 27 412 to 2 355 computations (91.4% saved)
54 alts after pruning (40 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 018 | 13 | 1 031 |
| Fresh | 5 | 27 | 32 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 10 | 10 |
| Total | 1 024 | 54 | 1 078 |
| Status | Accuracy | Program |
|---|---|---|
| 7.4% | (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) | |
| 14.3% | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) | |
| 30.4% | (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)) | |
| 39.3% | (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) | |
| 19.5% | (fma.f64 (*.f64 im im) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) | |
| 29.9% | (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)) | |
| 9.0% | (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) | |
| 38.2% | (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ✓ | 38.2% | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 37.7% | (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 36.3% | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 27.2% | (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 26.8% | (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 37.2% | (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) | |
| ✓ | 38.2% | (fma.f64 re (/.f64 #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)) |
| 37.7% | (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 37.2% | (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| 37.2% | (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| 7.8% | (fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) | |
| 26.8% | (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 27.1% | (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) | |
| 28.7% | (/.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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| 24.5% | (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) | |
| ✓ | 26.8% | (+.f64 re #s(literal 1 binary64)) |
| 55.3% | (*.f64 (fma.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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (cos.f64 im)) | |
| 19.6% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) | |
| ✓ | 67.6% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| 17.5% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) | |
| ✓ | 70.0% | (*.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)) (cos.f64 im)) |
| 35.9% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 36.5% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 67.3% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
| 57.2% | (*.f64 (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (cos.f64 im)) | |
| 14.5% | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) | |
| ✓ | 70.0% | (*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| 8.2% | (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) | |
| 14.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) | |
| ✓ | 53.6% | (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
| 26.4% | (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) re)) | |
| 14.0% | (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) | |
| 19.9% | (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) | |
| 19.4% | (*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) | |
| 17.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) | |
| 11.5% | (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re)) | |
| 54.5% | (*.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))) | |
| ✓ | 58.6% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 3.9% | (*.f64 (cos.f64 im) re) |
| 8.9% | (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) | |
| 14.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) | |
| ✓ | 65.9% | (exp.f64 re) |
| ✓ | 52.4% | (cos.f64 im) |
| 3.4% | re | |
| ✓ | 26.2% | #s(literal 1 binary64) |
Compiled 1 671 to 668 computations (60% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) |
(*.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)) (cos.f64 im)) |
(*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
(*.f64 (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))) |
(*.f64 (fma.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) |
(*.f64 (fma.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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 26.0ms | (cos.f64 im) |
| 25.0ms | im |
| 23.0ms | re |
| 18.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 17.0ms | (exp.f64 re) |
| 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(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) |
(*.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)) (cos.f64 im)) |
(*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
(*.f64 (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))) |
(*.f64 (fma.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (cos.f64 im)) |
(*.f64 (fma.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 #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (cos.f64 im)) |
| Outputs |
|---|
(*.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)) (cos.f64 im)) |
(exp.f64 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)) re) (cos.f64 im)) |
(*.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))) |
5 calls:
| 24.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 20.0ms | im |
| 20.0ms | re |
| 19.0ms | (cos.f64 im) |
| 16.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | re |
| 84.6% | 2 | im |
| 97.7% | 4 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 92.9% | 2 | (exp.f64 re) |
| 84.5% | 2 | (cos.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) |
(*.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)) (cos.f64 im)) |
(*.f64 (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) (cos.f64 im)) |
| Outputs |
|---|
(*.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)) (cos.f64 im)) |
(exp.f64 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)) re) (cos.f64 im)) |
(exp.f64 re) |
1 calls:
| 22.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) |
(*.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)) (cos.f64 im)) |
| Outputs |
|---|
(*.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)) (cos.f64 im)) |
(exp.f64 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)) (cos.f64 im)) |
(exp.f64 re) |
1 calls:
| 17.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (cos.f64 im))) |
(*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (cos.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (cos.f64 im)) |
| Outputs |
|---|
(exp.f64 re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(exp.f64 re) |
(*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im)) |
2 calls:
| 34.0ms | re |
| 26.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 4 | re |
| 99.0% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) |
(exp.f64 re) |
2 calls:
| 17.0ms | re |
| 16.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 97.0% | 4 | re |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
(*.f64 (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) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
1 calls:
| 15.0ms | (*.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(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (cos.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
1 calls:
| 20.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (cos.f64 im)) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) |
(exp.f64 re) |
2 calls:
| 22.0ms | re |
| 16.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 4 | re |
| 98.4% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
(exp.f64 re) |
(*.f64 (cos.f64 im) re) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) |
(cos.f64 im) |
(exp.f64 re) |
(cos.f64 im) |
(exp.f64 re) |
1 calls:
| 26.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(cos.f64 im) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) |
(cos.f64 im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(cos.f64 im) |
(*.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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
5 calls:
| 43.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 39.0ms | (cos.f64 im) |
| 33.0ms | re |
| 28.0ms | im |
| 11.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 2 | (cos.f64 im) |
| 61.9% | 2 | im |
| 72.8% | 3 | (exp.f64 re) |
| 74.8% | 4 | re |
| 79.7% | 5 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) 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)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 (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 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re re #s(literal -1 binary64)))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
5 calls:
| 51.0ms | re |
| 35.0ms | (cos.f64 im) |
| 31.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 13.0ms | im |
| 10.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 2 | im |
| 45.8% | 2 | (cos.f64 im) |
| 47.0% | 2 | (exp.f64 re) |
| 49.3% | 3 | re |
| 53.5% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 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 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) (*.f64 re re))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 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)) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
1 calls:
| 10.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.2% | 4 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 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) (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 #s(literal 1 binary64) re) #s(literal -1/2 binary64) (/.f64 re (*.f64 im im))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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)))) |
(fma.f64 re (/.f64 #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 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)) |
(fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) |
| Outputs |
|---|
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)) |
1 calls:
| 9.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)) |
1 calls:
| 47.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 re (*.f64 im im)) re) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 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)) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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)) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re)) |
(fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | re |
| 4.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 2 | re |
| 47.7% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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 (fma.f64 re (*.f64 re #s(literal 1/6 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) re) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
3 calls:
| 33.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 4.0ms | (cos.f64 im) |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.0% | 2 | (cos.f64 im) |
| 39.8% | 2 | (exp.f64 re) |
| 45.0% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 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)) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.5% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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)) |
1 calls:
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
1 calls:
| 3.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
4 calls:
| 29.0ms | re |
| 3.0ms | im |
| 3.0ms | (cos.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.1% | 2 | im |
| 38.1% | 2 | re |
| 40.0% | 2 | (cos.f64 im) |
| 42.0% | 3 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(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 |
|---|---|---|
| 40.2% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) |
(+.f64 re #s(literal 1 binary64)) |
5 calls:
| 2.0ms | im |
| 2.0ms | re |
| 2.0ms | (cos.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.8% | 2 | im |
| 29.5% | 2 | re |
| 29.5% | 2 | (exp.f64 re) |
| 30.5% | 2 | (cos.f64 im) |
| 30.6% | 2 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
(+.f64 re #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 re #s(literal 1 binary64)) |
5 calls:
| 32.0ms | im |
| 2.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | re |
| 2.0ms | (cos.f64 im) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.8% | 1 | im |
| 26.8% | 1 | (exp.f64 re) |
| 26.8% | 1 | re |
| 26.8% | 1 | (cos.f64 im) |
| 26.8% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
Total -15.1b remaining (-31.9%)
Threshold costs -15.1b (-31.9%)
| Inputs |
|---|
#s(literal 1 binary64) |
re |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 2.0ms | re |
| 2.0ms | im |
| 1.0ms | (cos.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.2% | 1 | (cos.f64 im) |
| 26.2% | 1 | im |
| 26.2% | 1 | (exp.f64 re) |
| 26.2% | 1 | re |
| 26.2% | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9984847313020477 | 0.9990230507483362 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999998613650422 | 0.9999999999993613 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999998613650422 | 0.9999999999993613 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.07170504686473e+92 | 2.042570759844511e+110 |
| 14.0ms | 10.658497468287788 | 56149797.08466989 |
| 15.0ms | -0.0009774267776216771 | -1.2349281307004727e-11 |
| 27.0ms | 448× | 0 | valid |
Compiled 532 to 392 computations (26.3% saved)
ival-cos: 9.0ms (53.8% of total)ival-exp: 4.0ms (23.9% of total)ival-mult: 3.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999998613650422 | 0.9999999999993613 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999998613650422 | 0.9999999999993613 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9984847313020477 | 0.9990230507483362 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9984847313020477 | 0.9990230507483362 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9984847313020477 | 0.9990230507483362 |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9984847313020477 | 0.9990230507483362 |
| 0.0ms | 0.0 | 4.040545786034443e-127 |
| 0.0ms | -0.01584105891156024 | -0.0 |
| 0.0ms | -inf | -11957.873175028139 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990230507483362 | 0.9999998613650422 |
| 0.0ms | 0.0 | 4.040545786034443e-127 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
| 0.0ms | -0.01584105891156024 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000486401575843 | +inf |
| 0.0ms | 4.040545786034443e-127 | 1.6732943330501738e-26 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000486401575843 | +inf |
| 0.0ms | 4.040545786034443e-127 | 1.6732943330501738e-26 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000486401575843 | +inf |
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6732943330501738e-26 | 0.01088927650912508 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 68× | *-commutative_binary64 |
| 20× | if-if-or-not_binary32 |
| 16× | if-not_binary32 |
| 8× | not-or_bool |
| 4× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1228 |
| 1 | 211 | 1196 |
| 2 | 219 | 1196 |
| 3 | 224 | 1191 |
| 4 | 226 | 1191 |
| 5 | 234 | 1191 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 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)) re) (cos.f64 im)) (*.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)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 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)) re) (cos.f64 im)) (exp.f64 re)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 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)) (cos.f64 im)) (exp.f64 re)))) |
(if (<=.f64 re #s(literal -8854437155380585/9223372036854775808 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 11 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (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 -5764607523034235/576460752303423488 binary64)) (*.f64 (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (exp.f64 re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (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 -5764607523034235/576460752303423488 binary64)) (*.f64 (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (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 -5764607523034235/576460752303423488 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (cos.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 im) (exp.f64 re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (cos.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 im) (*.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 im (*.f64 im (fma.f64 im (*.f64 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/12 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)) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 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)) re) (cos.f64 im)) (*.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)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (*.f64 (cos.f64 im) (+.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 (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)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 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)) re) (cos.f64 im)) (exp.f64 re)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (exp.f64 re)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 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)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 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)) (cos.f64 im)) (exp.f64 re)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.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))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 9007198354021067/9007199254740992 binary64)) (*.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))) (exp.f64 re)))) |
(if (<=.f64 re #s(literal -8854437155380585/9223372036854775808 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 11 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (*.f64 (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (cos.f64 im))))) |
(if (<=.f64 re #s(literal -8854437155380585/9223372036854775808 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 11 binary64)) (*.f64 (cos.f64 im) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (exp.f64 re) (*.f64 (cos.f64 im) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (fma.f64 re (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 re #s(literal -1/2 binary64))) re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (cos.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8998192055486251/9007199254740992 binary64)) (cos.f64 im) (*.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 im (*.f64 im (fma.f64 im (*.f64 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) (*.f64 im 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)))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 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))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 im im) #s(literal -1/2 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))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re)) (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 17 940× | accelerator-lowering-fma.f32 |
| 17 940× | accelerator-lowering-fma.f64 |
| 16 594× | accelerator-lowering-fma.f32 |
| 16 594× | accelerator-lowering-fma.f64 |
| 15 940× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 154 |
| 1 | 197 | 154 |
| 2 | 1757 | 154 |
| 0 | 8477 | 128 |
| 0 | 246 | 2641 |
| 1 | 838 | 2551 |
| 2 | 3094 | 2324 |
| 3 | 7305 | 2318 |
| 0 | 8110 | 2066 |
| 0 | 204 | 1708 |
| 1 | 650 | 1616 |
| 2 | 2006 | 1544 |
| 3 | 6663 | 1542 |
| 0 | 8182 | 1372 |
| 0 | 21 | 76 |
| 1 | 112 | 76 |
| 2 | 910 | 76 |
| 0 | 8507 | 65 |
| 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 | 196 | 1490 |
| 1 | 655 | 1400 |
| 2 | 2371 | 1332 |
| 3 | 6964 | 1328 |
| 0 | 8132 | 1177 |
| 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× | node limit |
Compiled 2 972 to 1 326 computations (55.4% saved)
(abs im)
Compiled 2 516 to 354 computations (85.9% saved)
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