
Time bar (total: 21.5s)
| 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)
| 618.0ms | 8 256× | 0 | valid |
ival-sin: 269.0ms (65.5% of total)ival-exp: 69.0ms (16.8% of total)ival-mult: 63.0ms (15.3% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.7% of total)| 1× | egg-herbie |
| 60× | associate-*r* |
| 52× | unsub-neg |
| 48× | associate-*l* |
| 42× | distribute-lft-neg-in |
| 38× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 31 |
| 1 | 38 | 29 |
| 2 | 77 | 27 |
| 3 | 148 | 27 |
| 4 | 281 | 27 |
| 5 | 428 | 27 |
| 6 | 451 | 27 |
| 7 | 465 | 27 |
| 8 | 472 | 27 |
| 9 | 472 | 27 |
| 0 | 5 | 5 |
| 1 | 6 | 5 |
| 0 | 6 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (exp re) (sin im)) |
| Outputs |
|---|
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(negabs im)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 0 | 0 | - | 0 | - | (sin.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 |
| 33.0ms | 512× | 0 | valid |
Compiled 40 to 24 computations (40% saved)
ival-sin: 12.0ms (62.3% of total)ival-exp: 4.0ms (20.8% of total)ival-mult: 3.0ms (15.6% 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) (sin.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 | (sin.f64 im) |
| ✓ | cost-diff | 0 | (exp.f64 re) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
| 2× | exp-lowering-exp.f32 |
| 2× | sin-lowering-sin.f64 |
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) (sin im)) |
(exp re) |
re |
(sin im) |
im |
| Outputs |
|---|
(* (exp re) (sin im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp re) |
(exp.f64 re) |
re |
(sin im) |
(sin.f64 im) |
im |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 17.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-sin: 6.0ms (53.8% of total)ival-mult: 3.0ms (26.9% of total)ival-exp: 2.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (exp re) (sin im))> |
#<alt (exp re)> |
#<alt (sin im)> |
| Outputs |
|---|
#<alt (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* im (exp re))> |
#<alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))> |
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))> |
#<alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin im))> |
#<alt (* (exp re) (sin 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 im> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | -inf | (* (exp re) (sin im)) |
| 1.0ms | re | @ | inf | (* (exp re) (sin im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (sin im)) |
| 0.0ms | re | @ | 0 | (* (exp re) (sin im)) |
| 0.0ms | im | @ | inf | (* (exp re) (sin im)) |
| 1× | batch-egg-rewrite |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
| 2× | exp-lowering-exp.f32 |
| 2× | sin-lowering-sin.f64 |
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) (sin im)) |
(exp re) |
(sin im) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(exp.f64 re) |
(sin.f64 im) |
| 1× | egg-herbie |
| 15 566× | accelerator-lowering-fma.f32 |
| 15 566× | accelerator-lowering-fma.f64 |
| 4 310× | *-lowering-*.f32 |
| 4 310× | *-lowering-*.f64 |
| 2 896× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 297 |
| 1 | 221 | 286 |
| 2 | 586 | 274 |
| 3 | 1574 | 268 |
| 4 | 2436 | 268 |
| 5 | 3110 | 268 |
| 6 | 3581 | 268 |
| 7 | 3732 | 268 |
| 8 | 4021 | 268 |
| 9 | 5977 | 268 |
| 0 | 8264 | 246 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin 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) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.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 re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.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) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
Compiled 350 to 48 computations (86.3% 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)) (sin.f64 im)) |
| ▶ | 67.2% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| ▶ | 53.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| 56.1% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ▶ | 65.0% | (*.f64 (exp.f64 re) im) |
| 55.6% | (*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 52.5% | (sin.f64 im) |
Compiled 159 to 107 computations (32.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.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)) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (sin.f64 im) |
| ✓ | cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (exp.f64 re) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 re) im) |
| ✓ | cost-diff | 0 | (sin.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)) (sin.f64 im)) |
| 1 392× | accelerator-lowering-fma.f32 |
| 1 392× | accelerator-lowering-fma.f64 |
| 510× | *-lowering-*.f32 |
| 510× | *-lowering-*.f64 |
| 358× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 107 |
| 1 | 54 | 107 |
| 2 | 118 | 107 |
| 3 | 265 | 107 |
| 4 | 484 | 107 |
| 5 | 877 | 107 |
| 6 | 961 | 107 |
| 0 | 961 | 93 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin 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 |
(sin im) |
im |
(sin im) |
im |
(* (exp re) im) |
(exp re) |
re |
im |
(* (+ re 1) (sin im)) |
(+ re 1) |
re |
1 |
(sin im) |
im |
(* (+ (* re (+ (* re 1/2) 1)) 1) (sin im)) |
(+ (* re (+ (* re 1/2) 1)) 1) |
re |
(+ (* re 1/2) 1) |
1/2 |
1 |
(sin im) |
im |
| Outputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin 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)) (sin.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) |
(sin im) |
(sin.f64 im) |
im |
(sin im) |
(sin.f64 im) |
im |
(* (exp re) im) |
(*.f64 im (exp.f64 re)) |
(exp re) |
(exp.f64 re) |
re |
im |
(* (+ re 1) (sin im)) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
re |
1 |
#s(literal 1 binary64) |
(sin im) |
(sin.f64 im) |
im |
(* (+ (* re (+ (* re 1/2) 1)) 1) (sin im)) |
(*.f64 (sin.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) |
(sin im) |
(sin.f64 im) |
im |
Found 14 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% | (sin.f64 im) |
| ✓ | accuracy | 93.3% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| ✓ | accuracy | 100.0% | (+.f64 re #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 re) im) |
| ✓ | accuracy | 100.0% | (sin.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% | (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 | 97.3% | (*.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)) (sin.f64 im)) |
| 93.0ms | 256× | 0 | valid |
Compiled 95 to 24 computations (74.7% saved)
const: 35.0ms (47.3% of total)ival-mult: 19.0ms (25.7% of total)ival-add: 9.0ms (12.2% of total)ival-sin: 8.0ms (10.8% of total)ival-exp: 3.0ms (4.1% 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) (sin 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 (sin im)> |
#<alt (* (exp re) im)> |
#<alt (exp re)> |
#<alt (* (+ re 1) (sin im))> |
#<alt (+ re 1)> |
#<alt (* (+ (* re (+ (* re 1/2) 1)) 1) (sin im))> |
#<alt (+ (* re (+ (* re 1/2) 1)) 1)> |
#<alt (+ (* re 1/2) 1)> |
| Outputs |
|---|
#<alt (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im)))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))> |
#<alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))> |
#<alt (* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin 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 im> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt im> |
#<alt (+ im (* im re))> |
#<alt (+ im (* re (+ im (* 1/2 (* im re)))))> |
#<alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* im (exp re))> |
#<alt (* 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 (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (* re (sin im))> |
#<alt (* re (+ (sin im) (/ (sin im) re)))> |
#<alt (* re (+ (sin im) (/ (sin im) re)))> |
#<alt (* re (+ (sin im) (/ (sin im) re)))> |
#<alt (* re (sin im))> |
#<alt (* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))> |
#<alt (* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))> |
#<alt (* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re))))))> |
#<alt (* im (+ 1 (+ re (* (pow im 2) (+ (* -1/6 (+ 1 re)) (* 1/120 (* (pow im 2) (+ 1 re))))))))> |
#<alt (* im (+ 1 (+ re (* (pow im 2) (+ (* -1/6 (+ 1 re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 re))) (* 1/120 (+ 1 re)))))))))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin im) (+ 1 re))> |
#<alt (* (sin 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 (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (* 1/2 (* (pow re 2) (sin im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re)))> |
#<alt (* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2)))))> |
#<alt (* 1/2 (* (pow re 2) (sin im)))> |
#<alt (* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))))> |
#<alt (* im (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))))> |
#<alt (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))))))))> |
#<alt (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/120 (+ 1 (* re (+ 1 (* 1/2 re))))))))))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin im) (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* (sin 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)))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | -inf | (* (exp re) im) |
| 1.0ms | im | @ | inf | (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im)) |
| 1.0ms | re | @ | -inf | (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im)) |
| 1.0ms | im | @ | inf | (* (+ (* re (+ (* re 1/2) 1)) 1) (sin im)) |
| 1.0ms | im | @ | 0 | (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im)) |
| 1× | batch-egg-rewrite |
| 8 900× | accelerator-lowering-fma.f32 |
| 8 900× | accelerator-lowering-fma.f64 |
| 5 262× | *-lowering-*.f32 |
| 5 262× | *-lowering-*.f64 |
| 4 100× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 86 |
| 1 | 120 | 86 |
| 2 | 1003 | 86 |
| 0 | 8616 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (sin im)) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
(sin im) |
(* (exp re) im) |
(exp re) |
(* (+ re 1) (sin im)) |
(+ re 1) |
(* (+ (* re (+ (* re 1/2) 1)) 1) (sin im)) |
(+ (* re (+ (* re 1/2) 1)) 1) |
(+ (* re 1/2) 1) |
| Outputs |
|---|
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) |
(+.f64 (sin.f64 im) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im))) |
(+.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (sin.f64 im)) |
(+.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im)) (sin.f64 im)) |
(+.f64 (*.f64 (sin.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(+.f64 (*.f64 (sin.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 (sin.f64 im) re)) |
(+.f64 (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sin.f64 im)) (*.f64 (sin.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))))) (sin.f64 im)) (*.f64 re (sin.f64 im))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im))) |
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im) (sin.f64 im)) |
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) |
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im))) |
(fma.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im)) |
(fma.f64 (sin.f64 im) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (sin.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 (sin.f64 im) re)) |
(fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sin.f64 im) (*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (sin.f64 im) re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64) (sin.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))))) (sin.f64 im) (*.f64 re (sin.f64 im))) |
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) re (sin.f64 im)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (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 (sin.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re))))) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) re) #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) re) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/4 binary64) re) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 re (*.f64 #s(literal 1/4 binary64) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))))))) |
(*.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/4 binary64) re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) |
| 1× | egg-herbie |
| 19 890× | accelerator-lowering-fma.f32 |
| 19 890× | accelerator-lowering-fma.f64 |
| 5 520× | +-lowering-+.f64 |
| 5 520× | +-lowering-+.f32 |
| 3 860× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 1762 |
| 1 | 819 | 1635 |
| 2 | 3014 | 1534 |
| 3 | 7543 | 1532 |
| 0 | 8034 | 1339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) |
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) |
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* (sin 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)))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* 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) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (sin im))) |
(* re (sin im)) |
(* re (+ (sin im) (/ (sin im) re))) |
(* re (+ (sin im) (/ (sin im) re))) |
(* re (+ (sin im) (/ (sin im) re))) |
(* re (sin im)) |
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re))))) |
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re))))) |
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re))))) |
(* im (+ 1 re)) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(* im (+ 1 (+ re (* (pow im 2) (+ (* -1/6 (+ 1 re)) (* 1/120 (* (pow im 2) (+ 1 re)))))))) |
(* im (+ 1 (+ re (* (pow im 2) (+ (* -1/6 (+ 1 re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 re))) (* 1/120 (+ 1 re))))))))) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin im) (+ 1 re)) |
(* (sin 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))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(* 1/2 (* (pow re 2) (sin im))) |
(* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re))) |
(* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2))))) |
(* 1/2 (* (pow re 2) (sin im))) |
(* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im)))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))) |
(* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))) |
(* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/120 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin im) (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* (sin 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))) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.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) (sin im))) |
(*.f64 (sin.f64 im) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (sin.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) |
(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (sin.f64 im) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) |
(fma.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (sin.f64 im) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (sin.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) |
(neg.f64 (*.f64 re (fma.f64 (*.f64 re re) (*.f64 (sin.f64 im) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sin.f64 im) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) (neg.f64 re))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) |
(neg.f64 (*.f64 re (fma.f64 (*.f64 re re) (*.f64 (sin.f64 im) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 re))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 im (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/120 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))) |
(fma.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)) (*.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 1/120 binary64) #s(literal -1/6 binary64)))))) im) |
(* im (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/120 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))) |
(*.f64 im (fma.f64 im (*.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)) (*.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(* (sin im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
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(sin im) |
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(* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/120 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))) |
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(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
Compiled 17 183 to 1 921 computations (88.8% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 724 | 26 | 750 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 724 | 34 | 758 |
| Status | Accuracy | Program |
|---|---|---|
| 28.9% | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) | |
| 29.6% | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) | |
| 36.1% | (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) | |
| 32.8% | (fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) | |
| 37.6% | (fma.f64 im (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) im) | |
| 28.9% | (fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) im) | |
| 26.7% | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| 28.2% | (fma.f64 im re im) | |
| 70.0% | (/.f64 (sin.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)))) | |
| 67.2% | (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 66.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)))) | |
| 70.0% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| 20.1% | (*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) | |
| 67.5% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.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)) (sin.f64 im)) |
| ▶ | 37.6% | (*.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)) im) |
| ✓ | 67.2% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| 36.0% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) | |
| 17.6% | (*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) | |
| ▶ | 70.0% | (*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
| 28.9% | (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 53.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| 28.2% | (*.f64 (+.f64 re #s(literal 1 binary64)) im) | |
| 20.3% | (*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) | |
| 17.7% | (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) | |
| ▶ | 20.0% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
| 4.3% | (*.f64 (sin.f64 im) re) | |
| 56.1% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 65.0% | (*.f64 (exp.f64 re) im) |
| ▶ | 35.6% | (*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| 55.6% | (*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 52.5% | (sin.f64 im) |
| ▶ | 24.3% | im |
Compiled 772 to 488 computations (36.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 re re) |
| ✓ | cost-diff | 0 | (*.f64 re (*.f64 re re)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (*.f64 im #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
| ✓ | cost-diff | 0 | (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
| 22 248× | accelerator-lowering-fma.f32 |
| 22 248× | accelerator-lowering-fma.f64 |
| 4 840× | +-lowering-+.f64 |
| 4 840× | +-lowering-+.f32 |
| 3 346× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 1 | 89 | 197 |
| 2 | 249 | 197 |
| 3 | 843 | 195 |
| 4 | 2844 | 195 |
| 5 | 4190 | 195 |
| 6 | 4408 | 195 |
| 7 | 4418 | 195 |
| 8 | 4421 | 195 |
| 9 | 4421 | 195 |
| 10 | 7309 | 195 |
| 11 | 7370 | 195 |
| 12 | 7382 | 195 |
| 13 | 7382 | 195 |
| 0 | 8256 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) (sin im)) |
(+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) |
(+ re 1) |
re |
1 |
(* re (* re (+ (* re 1/6) 1/2))) |
(* re (+ (* re 1/6) 1/2)) |
(+ (* re 1/6) 1/2) |
1/6 |
1/2 |
(sin im) |
im |
im |
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) 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 |
im |
(* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))) |
im |
(* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1)) |
(+ (* im (* im -1/6)) 1) |
(* im -1/6) |
-1/6 |
1 |
(+ (* re (+ (* re 1/2) 1)) 1) |
re |
(+ (* re 1/2) 1) |
1/2 |
(* (* 1/6 (* re (* re re))) (sin im)) |
(* 1/6 (* re (* re re))) |
1/6 |
(* re (* re re)) |
re |
(* re re) |
(sin im) |
im |
| Outputs |
|---|
(* (+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) (sin 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)) (sin.f64 im)) |
(+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) |
(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)) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
re |
1 |
#s(literal 1 binary64) |
(* re (* re (+ (* re 1/6) 1/2))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 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) |
(sin im) |
(sin.f64 im) |
im |
im |
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) im) |
(fma.f64 im (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) 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) |
im |
(* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
im |
(* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1)) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (* im (* im -1/6)) 1) |
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* im -1/6) |
(*.f64 im #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#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) |
(* (* 1/6 (* re (* re re))) (sin im)) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* re (* re re))) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(* re (* re re)) |
(*.f64 re (*.f64 re re)) |
re |
(* re re) |
(*.f64 re re) |
(sin im) |
(sin.f64 im) |
im |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 99.9% | (*.f64 re (*.f64 re re)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
| ✓ | accuracy | 97.3% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 im #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.4% | (*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (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 (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 | 97.4% | (*.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)) im) |
| ✓ | accuracy | 99.9% | (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
| ✓ | 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)) |
| ✓ | accuracy | 97.3% | (*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
| 91.0ms | 256× | 0 | valid |
Compiled 181 to 33 computations (81.8% saved)
ival-mult: 23.0ms (45.3% of total)const: 12.0ms (23.7% of total)ival-add: 9.0ms (17.7% of total)ival-sin: 6.0ms (11.8% 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 1) (* re (* re (+ (* re 1/6) 1/2))))> |
#<alt (* (+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) (sin im))> |
#<alt (+ re 1)> |
#<alt (* re (* re (+ (* re 1/6) 1/2)))> |
#<alt (* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) 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 (* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1)))> |
#<alt (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))> |
#<alt (+ (* im (* im -1/6)) 1)> |
#<alt (* im -1/6)> |
#<alt (* (* 1/6 (* re (* re re))) (sin im))> |
#<alt (* 1/6 (* re (* re re)))> |
#<alt (* re (* re re))> |
#<alt (* re re)> |
#<alt (* re (+ (* re 1/6) 1/2))> |
#<alt (sin im)> |
| 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 (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im)))))> |
#<alt (* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* im (+ 1 (+ re (+ (* -1/6 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/120 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/120 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 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 (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt im> |
#<alt (+ im (* im re))> |
#<alt (+ im (* re (+ im (* 1/2 (* im re)))))> |
#<alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))> |
#<alt (* 1/6 (* im (pow re 3)))> |
#<alt (* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))> |
#<alt (* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))> |
#<alt (* 1/6 (* im (pow re 3)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))> |
#<alt (* 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 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))> |
#<alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))))> |
#<alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))))> |
#<alt (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))))> |
#<alt (* -1/6 (* (pow im 3) (+ 1 (* re (+ 1 (* 1/2 re))))))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* -1/6 (* (pow im 3) (+ 1 (* re (+ 1 (* 1/2 re))))))> |
#<alt (* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re))))))))> |
#<alt (* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re))))))))> |
#<alt (* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re))))))))> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))> |
#<alt (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))> |
#<alt (* 1/2 (* im (* (pow re 2) (+ 1 (* -1/6 (pow im 2))))))> |
#<alt (* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))> |
#<alt (* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (+ (/ (* im (+ 1 (* -1/6 (pow im 2)))) re) (/ (* im (+ 1 (* -1/6 (pow im 2)))) (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (+ (/ (* im (+ 1 (* -1/6 (pow im 2)))) re) (/ (* im (+ 1 (* -1/6 (pow im 2)))) (pow re 2)))))> |
#<alt (* 1/2 (* im (* (pow re 2) (+ 1 (* -1/6 (pow im 2))))))> |
#<alt (* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) re)) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2)))))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) re)) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2)))))))> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))> |
#<alt (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2))))))> |
#<alt (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))> |
#<alt (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))> |
#<alt (* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re))))> |
#<alt (* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))> |
#<alt (* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))> |
#<alt (* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (* -1/6 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* -1/6 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* im (pow re 3)))> |
#<alt (* im (+ (* -1/36 (* (pow im 2) (pow re 3))) (* 1/6 (pow re 3))))> |
#<alt (* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* 1/720 (* (pow im 2) (pow re 3)))))))> |
#<alt (* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* (pow im 2) (+ (* -1/30240 (* (pow im 2) (pow re 3))) (* 1/720 (pow re 3))))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<alt (pow re 3)> |
#<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 (* 1/2 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 im> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | 0 | (* (* 1/6 (* re (* re re))) (sin im)) |
| 3.0ms | im | @ | 0 | (* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))) |
| 1.0ms | im | @ | inf | (* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))) |
| 1.0ms | im | @ | inf | (* (* 1/6 (* re (* re re))) (sin im)) |
| 1.0ms | im | @ | inf | (* (+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) (sin im)) |
| 1× | batch-egg-rewrite |
| 5 438× | accelerator-lowering-fma.f32 |
| 5 438× | accelerator-lowering-fma.f64 |
| 4 134× | /-lowering-/.f32 |
| 4 134× | /-lowering-/.f64 |
| 3 728× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 157 |
| 1 | 176 | 157 |
| 2 | 1547 | 157 |
| 0 | 8287 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) |
(* (+ (+ re 1) (* re (* re (+ (* re 1/6) 1/2)))) (sin im)) |
(+ re 1) |
(* re (* re (+ (* re 1/6) 1/2))) |
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) im) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(+ (* re 1/6) 1/2) |
(* im (* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1))) |
(* (+ (* im (* im -1/6)) 1) (+ (* re (+ (* re 1/2) 1)) 1)) |
(+ (* im (* im -1/6)) 1) |
(* im -1/6) |
(* (* 1/6 (* re (* re re))) (sin im)) |
(* 1/6 (* re (* re re))) |
(* re (* re re)) |
(* re re) |
(* re (+ (* re 1/6) 1/2)) |
(sin im) |
| 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 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(+.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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re) |
(+.f64 (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re)) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))))) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))) (-.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) |
(*.f64 (*.f64 re (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)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 re (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 (*.f64 re (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))) |
(*.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)))) |
(sin.f64 im) |
| 1× | egg-herbie |
| 12 092× | accelerator-lowering-fma.f32 |
| 12 092× | accelerator-lowering-fma.f64 |
| 5 942× | *-lowering-*.f32 |
| 5 942× | *-lowering-*.f64 |
| 3 062× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 307 | 3277 |
| 1 | 1087 | 3086 |
| 2 | 4257 | 2928 |
| 3 | 7149 | 2921 |
| 0 | 8068 | 2592 |
| 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))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) |
(* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* im (+ 1 (+ re (+ (* -1/6 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/120 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/120 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 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))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* 1/6 (* im (pow re 3))) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3)))))) |
(* 1/6 (* im (pow re 3))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im)))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(* 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)))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))) |
(* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))) |
(* -1/6 (* (pow im 3) (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* -1/6 (* (pow im 3) (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re)))))))) |
(* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re)))))))) |
(* -1 (* (pow im 3) (+ (* -1 (/ (+ 1 (* re (+ 1 (* 1/2 re)))) (pow im 2))) (* 1/6 (+ 1 (* re (+ 1 (* 1/2 re)))))))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2))))))) |
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2))))))) |
(* 1/2 (* im (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))) |
(* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (+ (/ (* im (+ 1 (* -1/6 (pow im 2)))) re) (/ (* im (+ 1 (* -1/6 (pow im 2)))) (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (+ (/ (* im (+ 1 (* -1/6 (pow im 2)))) re) (/ (* im (+ 1 (* -1/6 (pow im 2)))) (pow re 2))))) |
(* 1/2 (* im (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))) |
(* (pow re 2) (+ (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) re)) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) re)) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))) |
(+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))) |
(+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re))))) |
(* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* -1/6 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(* (pow im 2) (+ (* -1/6 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2))))) |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2)))))) |
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2)))))))))) |
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2)))))))))) |
(* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2))))) |
(* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re)))) |
(* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2))))))) |
(* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2))))))) |
(* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2))))) |
(* (pow re 2) (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))) |
1 |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (* -1/6 (pow im 2))) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* im (pow re 3))) |
(* im (+ (* -1/36 (* (pow im 2) (pow re 3))) (* 1/6 (pow re 3)))) |
(* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* 1/720 (* (pow im 2) (pow re 3))))))) |
(* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* (pow im 2) (+ (* -1/30240 (* (pow im 2) (pow re 3))) (* 1/720 (pow re 3)))))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(* 1/6 (pow re 3)) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(pow re 3) |
(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) |
(* 1/2 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)))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
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(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)))))) |
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(sin im) |
(sin.f64 im) |
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(* 1/6 (* (pow re 3) (sin im))) |
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(* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
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(+ 1 re) |
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re |
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(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
re |
(* re (+ 1 (/ 1 re))) |
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(* 1/2 (pow re 2)) |
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(* (pow re 2) (+ 1/2 (* 1/6 re))) |
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(* 1/6 (pow re 3)) |
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(* 1/6 (pow re 3)) |
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im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
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(* 1/6 (* im (pow re 3))) |
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(* 1/6 (* im (pow re 3))) |
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(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
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1 |
#s(literal 1 binary64) |
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1 |
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(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* im (pow re 3))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(* im (+ (* -1/36 (* (pow im 2) (pow re 3))) (* 1/6 (pow re 3)))) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* 1/720 (* (pow im 2) (pow re 3))))))) |
(*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)) (*.f64 (*.f64 im (*.f64 (*.f64 re (*.f64 re re)) im)) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/36 binary64))))) |
(* im (+ (* 1/6 (pow re 3)) (* (pow im 2) (+ (* -1/36 (pow re 3)) (* (pow im 2) (+ (* -1/30240 (* (pow im 2) (pow re 3))) (* 1/720 (pow re 3)))))))) |
(*.f64 im (fma.f64 (*.f64 re (*.f64 re re)) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 (*.f64 re (*.f64 re re)) im)) (fma.f64 (*.f64 im im) #s(literal -1/30240 binary64) #s(literal 1/720 binary64)))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 3) |
(*.f64 re (*.f64 re re)) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 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))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
(sin im) |
(sin.f64 im) |
Compiled 40 028 to 3 037 computations (92.4% saved)
55 alts after pruning (47 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 141 | 29 | 1 170 |
| Fresh | 5 | 18 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 149 | 55 | 1 204 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) | |
| ▶ | 28.9% | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
| 29.6% | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) | |
| 36.1% | (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) | |
| 36.1% | (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) | |
| 32.8% | (fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) | |
| 36.5% | (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) | |
| ▶ | 28.2% | (fma.f64 re im im) |
| 26.7% | (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) | |
| 26.7% | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| 27.1% | (/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) | |
| 35.6% | (/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) | |
| 70.0% | (/.f64 (sin.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)))) | |
| 67.2% | (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 27.0% | (/.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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
| 66.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)))) | |
| ▶ | 70.0% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 20.1% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im)) | |
| 16.5% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) | |
| 29.1% | (*.f64 (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)) im) | |
| 38.7% | (*.f64 (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))) im) | |
| 67.5% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| 37.6% | (*.f64 (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)) 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)) (sin.f64 im)) |
| 26.8% | (*.f64 (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)) im) | |
| 9.4% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) | |
| ✓ | 67.2% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| 36.0% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) | |
| 36.7% | (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) | |
| 36.7% | (*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) | |
| 17.6% | (*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) | |
| ▶ | 28.9% | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
| 37.6% | (*.f64 (/.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)))) im) | |
| ✓ | 70.0% | (*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
| 28.9% | (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 53.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| 28.2% | (*.f64 (+.f64 re #s(literal 1 binary64)) im) | |
| 20.3% | (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) | |
| 16.5% | (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) | |
| 15.4% | (*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) | |
| 20.0% | (*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) | |
| 15.2% | (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) | |
| 17.7% | (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) | |
| 16.4% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) | |
| 4.3% | (*.f64 (sin.f64 im) re) | |
| 56.1% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 65.0% | (*.f64 (exp.f64 re) im) |
| 12.6% | (*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) | |
| 14.2% | (*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) | |
| 55.6% | (*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 14.4% | (*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) | |
| 16.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) | |
| ✓ | 52.5% | (sin.f64 im) |
| ✓ | 24.3% | im |
Compiled 1 586 to 956 computations (39.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 1408 | (/.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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
| ✓ | cost-diff | 2560 | (/.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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
| ✓ | cost-diff | 0 | (*.f64 im im) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
| ✓ | cost-diff | 0 | (fma.f64 re im im) |
| ✓ | cost-diff | 0 | (*.f64 im #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
| ✓ | cost-diff | 0 | (fma.f64 re im im) |
| ✓ | cost-diff | 0 | (*.f64 re re) |
| ✓ | cost-diff | 0 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | cost-diff | 128 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
| 10 718× | accelerator-lowering-fma.f32 |
| 10 718× | accelerator-lowering-fma.f64 |
| 3 912× | +-lowering-+.f64 |
| 3 912× | +-lowering-+.f32 |
| 3 372× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 356 |
| 1 | 120 | 356 |
| 2 | 375 | 350 |
| 3 | 1557 | 350 |
| 4 | 6251 | 350 |
| 5 | 6607 | 300 |
| 6 | 7598 | 300 |
| 0 | 8162 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (sin im)) |
(+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) |
(+ (* re 1/6) 1/2) |
re |
1/6 |
1/2 |
(* re re) |
(+ re 1) |
1 |
(sin im) |
im |
(+ (* re im) im) |
re |
im |
(* (+ (* im (* im -1/6)) 1) (+ (* re im) im)) |
(+ (* im (* im -1/6)) 1) |
im |
(* im -1/6) |
-1/6 |
1 |
(+ (* re im) im) |
re |
(+ (* (* im im) (* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im)) im) |
(* im im) |
im |
(* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im) |
(+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) |
(+ (* im (* im -1/5040)) 1/120) |
(* im -1/5040) |
-1/5040 |
1/120 |
-1/6 |
(/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im))) |
1 |
(/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) 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 |
(* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im) |
(+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) |
(* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re)) |
(+ (* (+ (* re 1/6) 1/2) (* re re)) re) |
(* re re) |
im |
| Outputs |
|---|
(* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (sin 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)) (sin.f64 im)) |
(+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 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 1/6) 1/2) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* re re) |
(*.f64 re re) |
(+ re 1) |
(+.f64 re #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(sin im) |
(sin.f64 im) |
im |
(+ (* re im) im) |
(fma.f64 re im im) |
re |
im |
(* (+ (* im (* im -1/6)) 1) (+ (* re im) im)) |
(*.f64 (fma.f64 re im im) (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* im (* im -1/6)) 1) |
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
im |
(* im -1/6) |
(*.f64 im #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* re im) im) |
(fma.f64 re im im) |
re |
(+ (* (* im im) (* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im)) im) |
(fma.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im) |
(* im im) |
(*.f64 im im) |
im |
(* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im) |
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) |
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+ (* im (* im -1/5040)) 1/120) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* im -1/5040) |
(*.f64 im #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) 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)) im) |
1 |
#s(literal 1 binary64) |
(/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) 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)) 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) |
(* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im) |
(*.f64 im (fma.f64 (*.f64 re re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) |
(fma.f64 (*.f64 re re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re)) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) re) |
(+ (* (+ (* re 1/6) 1/2) (* re re)) re) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) |
(* re re) |
(*.f64 re re) |
im |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
| ✓ | accuracy | 98.9% | (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im) |
| ✓ | accuracy | 63.6% | (/.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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
| ✓ | accuracy | 100.0% | (fma.f64 re im im) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
| ✓ | accuracy | 99.9% | (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 im #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 re im im) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 97.3% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 101.0ms | 256× | 0 | valid |
Compiled 302 to 45 computations (85.1% saved)
ival-mult: 27.0ms (39.7% of total)ival-add: 17.0ms (25% of total)const: 14.0ms (20.6% of total)ival-sin: 6.0ms (8.8% of total)ival-div: 3.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1))> |
#<alt (* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (sin im))> |
#<alt (+ (* re 1/6) 1/2)> |
#<alt (* re re)> |
#<alt (+ (* re im) im)> |
#<alt (* (+ (* im (* im -1/6)) 1) (+ (* re im) im))> |
#<alt (+ (* im (* im -1/6)) 1)> |
#<alt (* im -1/6)> |
#<alt (+ (* (* im im) (* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im)) im)> |
#<alt (* im im)> |
#<alt (* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im)> |
#<alt (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6)> |
#<alt (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im))> |
#<alt (/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)))> |
#<alt (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1)> |
#<alt (+ (* re (+ (* re 1/6) 1/2)) 1)> |
#<alt (sin im)> |
#<alt (+ (* im (* im -1/5040)) 1/120)> |
#<alt (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)> |
| 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 (sin im)> |
#<alt (+ (sin im) (* re (sin im)))> |
#<alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))> |
#<alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2)))))> |
#<alt (* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3))))))> |
#<alt (* 1/6 (* (pow re 3) (sin im)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im)))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im)))))> |
#<alt (* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* im (+ 1 (+ re (+ (* -1/6 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/120 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/120 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re)))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<alt (* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))> |
#<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 (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 im> |
#<alt (+ im (* im re))> |
#<alt (+ im (* im re))> |
#<alt (+ im (* im re))> |
#<alt (* im re)> |
#<alt (* re (+ im (/ im re)))> |
#<alt (* re (+ im (/ im re)))> |
#<alt (* re (+ im (/ im re)))> |
#<alt (* im re)> |
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))> |
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))> |
#<alt (* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 re))> |
#<alt (* -1 (* im (- (* -1 re) 1)))> |
#<alt (* -1 (* im (- (* -1 re) 1)))> |
#<alt (* -1 (* im (- (* -1 re) 1)))> |
#<alt (* -1 (* im (- (* -1 re) 1)))> |
#<alt (* im (+ 1 re))> |
#<alt (* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re))))))> |
#<alt (* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re))))))> |
#<alt (* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re))))))> |
#<alt (* -1/6 (* (pow im 3) (+ 1 re)))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))> |
#<alt (* 1/6 (* (pow im 3) (- (* -1 re) 1)))> |
#<alt (* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2)))))> |
#<alt (* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2)))))> |
#<alt (* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2)))))> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (* im (* re (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))> |
#<alt (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))> |
#<alt (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))> |
#<alt (* im (* re (+ 1 (* -1/6 (pow im 2)))))> |
#<alt (* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))))> |
#<alt (* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (+ 1 (* -1/6 (pow im 2)))> |
#<alt (* -1/6 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* -1/6 (pow im 2))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt (* -1/6 im)> |
#<alt im> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))> |
#<alt (* -1/5040 (pow im 7))> |
#<alt (* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* -1/5040 (pow im 7))> |
#<alt (* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))> |
#<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 (* -1/6 im)> |
#<alt (* im (- (* 1/120 (pow im 2)) 1/6))> |
#<alt (* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))> |
#<alt (* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))> |
#<alt (* -1/5040 (pow im 5))> |
#<alt (* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* -1/5040 (pow im 5))> |
#<alt (* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))> |
#<alt (* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow im 2)) 1/6)> |
#<alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)> |
#<alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)> |
#<alt (* -1/5040 (pow im 4))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* -1/5040 (pow im 4))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))> |
#<alt (/ 1 im)> |
#<alt (+ (* -1 (/ re im)) (/ 1 im))> |
#<alt (+ (* re (- (* 1/2 (/ re im)) (/ 1 im))) (/ 1 im))> |
#<alt (+ (* re (- (* re (+ (* -1/6 (/ re im)) (* 1/2 (/ 1 im)))) (/ 1 im))) (/ 1 im))> |
#<alt (/ 6 (* im (pow re 3)))> |
#<alt (/ (- (* 6 (/ 1 im)) (* 18 (/ 1 (* im re)))) (pow re 3))> |
#<alt (/ (- (+ (* 6 (/ 1 im)) (/ 18 (* im (pow re 2)))) (/ 18 (* im re))) (pow re 3))> |
#<alt (/ (- (+ (* 6 (/ 1 im)) (+ (* 18 (/ 1 (* im (pow re 2)))) (* 18 (/ 1 (* im (pow re 3)))))) (/ 18 (* im re))) (pow re 3))> |
#<alt (/ 6 (* im (pow re 3)))> |
#<alt (* -1 (/ (- (* 18 (/ 1 (* im re))) (* 6 (/ 1 im))) (pow re 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* im re))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) (pow re 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* im re)) (/ 18 (* im (pow re 2)))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) (pow re 3)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt (/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)))> |
#<alt im> |
#<alt (+ im (* im re))> |
#<alt (+ im (* re (- (* 1/2 (* im re)) (* -1 im))))> |
#<alt (+ im (* re (- (* re (- (* 1/6 (* im re)) (* -1/2 im))) (* -1 im))))> |
#<alt (* 1/6 (* im (pow re 3)))> |
#<alt (* (pow re 3) (- (+ (* 1/6 im) (/ im re)) (* 1/2 (/ im re))))> |
#<alt (* (pow re 3) (- (+ (* 1/6 im) (+ (* 7/2 (/ im (pow re 2))) (/ im re))) (+ (* 1/2 (/ im re)) (+ (* 3 (/ (- im (* 1/2 im)) (pow re 2))) (/ im (pow re 2))))))> |
#<alt (* (pow re 3) (- (+ (* 1/6 im) (+ (* 7/2 (/ im (pow re 2))) (+ (* 6 (/ im (pow re 3))) (/ im re)))) (+ (* -1 (/ im (pow re 3))) (+ (* 1/2 (/ im re)) (+ (* 3 (/ (- im (* 1/2 im)) (pow re 2))) (+ (* 3 (/ (- (* 7/2 im) (+ im (* 3 (- im (* 1/2 im))))) (pow re 3))) (+ (* 6 (/ (- im (* 1/2 im)) (pow re 3))) (/ im (pow re 2)))))))))> |
#<alt (* 1/6 (* im (pow re 3)))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (- im (* 1/2 im)) re)) (* -1/6 im))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (- (+ im (* -1 (/ (- (* -7/2 im) (+ (* -3 (- im (* 1/2 im))) (* -1 im))) re))) (* 1/2 im)) re)) (* -1/6 im))))> |
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (- (+ im (* -1 (/ (- (+ (* -7/2 im) (* -1 (/ (- (* 6 im) (+ (* -3 (- (* -7/2 im) (+ (* -3 (- im (* 1/2 im))) (* -1 im)))) (+ (* -1 im) (* 6 (- im (* 1/2 im)))))) re))) (+ (* -3 (- im (* 1/2 im))) (* -1 im))) re))) (* 1/2 im)) re)) (* -1/6 im))))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt (/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1))> |
#<alt -1> |
#<alt (- re 1)> |
#<alt (- (* re (+ 1 (* 1/2 re))) 1)> |
#<alt (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)> |
#<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 (/ (- (/ 1 re) 1) re))) 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 im> |
#<alt (* im (+ 1 (* -1/6 (pow im 2))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))> |
#<alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt (sin im)> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow im 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow im 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow im 2)))> |
#<alt (* -1/5040 (pow im 2))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* -1/5040 (pow im 2))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))> |
#<alt (* -1 im)> |
#<alt (+ (* -1 im) (* im (pow re 2)))> |
#<alt (+ (* -1 im) (* (pow re 2) (+ im (* im re))))> |
#<alt (+ (* -1 im) (* (pow re 2) (+ im (* re (+ im (* 7/12 (* im re)))))))> |
#<alt (* 1/36 (* im (pow re 6)))> |
#<alt (* (pow re 6) (+ (* 1/36 im) (* 1/6 (/ im re))))> |
#<alt (* (pow re 6) (+ (* 1/36 im) (+ (* 1/6 (/ im re)) (* 7/12 (/ im (pow re 2))))))> |
#<alt (* (pow re 6) (+ (* 1/36 im) (+ (* 1/6 (/ im re)) (+ (* 7/12 (/ im (pow re 2))) (/ im (pow re 3))))))> |
#<alt (* 1/36 (* im (pow re 6)))> |
#<alt (* (pow re 6) (+ (* 1/36 im) (* 1/6 (/ im re))))> |
#<alt (* (pow re 6) (+ (* -1 (/ (+ (* -7/12 (/ im re)) (* -1/6 im)) re)) (* 1/36 im)))> |
#<alt (* (pow re 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/12 im) (/ im re)) re)) (* -1/6 im)) re)) (* 1/36 im)))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
#<alt (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | re | @ | 0 | (/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im))) |
| 2.0ms | im | @ | 0 | (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)) |
| 1.0ms | re | @ | inf | (/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im))) |
| 1.0ms | im | @ | inf | (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)) |
| 1.0ms | re | @ | inf | (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)) |
| 1× | batch-egg-rewrite |
| 6 102× | accelerator-lowering-fma.f32 |
| 6 102× | accelerator-lowering-fma.f64 |
| 4 932× | *-lowering-*.f32 |
| 4 932× | *-lowering-*.f64 |
| 4 484× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 259 |
| 1 | 273 | 195 |
| 2 | 2482 | 195 |
| 0 | 9532 | 163 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) |
(* (+ (* (+ (* re 1/6) 1/2) (* re re)) (+ re 1)) (sin im)) |
(+ (* re 1/6) 1/2) |
(* re re) |
(+ (* re im) im) |
(* (+ (* im (* im -1/6)) 1) (+ (* re im) im)) |
(+ (* im (* im -1/6)) 1) |
(* im -1/6) |
(+ (* (* im im) (* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im)) im) |
(* im im) |
(* (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) im) |
(+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) |
(/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im)) |
(/ 1 (/ (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) (* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im))) |
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) -1) |
(+ (* re (+ (* re 1/6) 1/2)) 1) |
(sin im) |
(+ (* im (* im -1/5040)) 1/120) |
(* (+ (* re (* (+ (* re (+ (* re 1/6) 1/2)) 1) (+ (* (+ (* re 1/6) 1/2) (* re re)) re))) -1) im) |
| 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 re (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (*.f64 (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)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re) |
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(*.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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) re) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) re) #s(literal -1 binary64)) im) |
| 1× | egg-herbie |
| 10 942× | accelerator-lowering-fma.f32 |
| 10 942× | accelerator-lowering-fma.f64 |
| 6 282× | *-lowering-*.f32 |
| 6 282× | *-lowering-*.f64 |
| 3 212× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 4198 |
| 1 | 1494 | 4039 |
| 2 | 5270 | 4016 |
| 0 | 8254 | 3524 |
| 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))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) |
(* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* im (+ 1 (+ re (+ (* -1/6 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/120 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/120 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(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) |
im |
(+ im (* im re)) |
(+ im (* im re)) |
(+ im (* im re)) |
(* im re) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* im re) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* im (+ 1 re)) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(* -1/6 (* (pow im 3) (+ 1 re))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(* 1/6 (* (pow im 3) (- (* -1 re) 1))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(* im (* re (+ 1 (* -1/6 (pow im 2))))) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(* im (* re (+ 1 (* -1/6 (pow im 2))))) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
1 |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (* -1/6 (pow im 2))) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* -1/6 (pow im 2)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6)) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
(* -1/6 im) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/5040 (pow im 7)) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 7)) |
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(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) |
(* -1/6 im) |
(* im (- (* 1/120 (pow im 2)) 1/6)) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(* -1/5040 (pow im 5)) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 5)) |
(* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
-1/6 |
(- (* 1/120 (pow im 2)) 1/6) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(* -1/5040 (pow im 4)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 4)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(/ 1 im) |
(+ (* -1 (/ re im)) (/ 1 im)) |
(+ (* re (- (* 1/2 (/ re im)) (/ 1 im))) (/ 1 im)) |
(+ (* re (- (* re (+ (* -1/6 (/ re im)) (* 1/2 (/ 1 im)))) (/ 1 im))) (/ 1 im)) |
(/ 6 (* im (pow re 3))) |
(/ (- (* 6 (/ 1 im)) (* 18 (/ 1 (* im re)))) (pow re 3)) |
(/ (- (+ (* 6 (/ 1 im)) (/ 18 (* im (pow re 2)))) (/ 18 (* im re))) (pow re 3)) |
(/ (- (+ (* 6 (/ 1 im)) (+ (* 18 (/ 1 (* im (pow re 2)))) (* 18 (/ 1 (* im (pow re 3)))))) (/ 18 (* im re))) (pow re 3)) |
(/ 6 (* im (pow re 3))) |
(* -1 (/ (- (* 18 (/ 1 (* im re))) (* 6 (/ 1 im))) (pow re 3))) |
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* im re))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) (pow re 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* im re)) (/ 18 (* im (pow re 2)))) (* 18 (/ 1 im))) re)) (* 6 (/ 1 im))) (pow re 3))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
(/ (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1) (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1))) |
im |
(+ im (* im re)) |
(+ im (* re (- (* 1/2 (* im re)) (* -1 im)))) |
(+ im (* re (- (* re (- (* 1/6 (* im re)) (* -1/2 im))) (* -1 im)))) |
(* 1/6 (* im (pow re 3))) |
(* (pow re 3) (- (+ (* 1/6 im) (/ im re)) (* 1/2 (/ im re)))) |
(* (pow re 3) (- (+ (* 1/6 im) (+ (* 7/2 (/ im (pow re 2))) (/ im re))) (+ (* 1/2 (/ im re)) (+ (* 3 (/ (- im (* 1/2 im)) (pow re 2))) (/ im (pow re 2)))))) |
(* (pow re 3) (- (+ (* 1/6 im) (+ (* 7/2 (/ im (pow re 2))) (+ (* 6 (/ im (pow re 3))) (/ im re)))) (+ (* -1 (/ im (pow re 3))) (+ (* 1/2 (/ im re)) (+ (* 3 (/ (- im (* 1/2 im)) (pow re 2))) (+ (* 3 (/ (- (* 7/2 im) (+ im (* 3 (- im (* 1/2 im))))) (pow re 3))) (+ (* 6 (/ (- im (* 1/2 im)) (pow re 3))) (/ im (pow re 2))))))))) |
(* 1/6 (* im (pow re 3))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (- im (* 1/2 im)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (- (+ im (* -1 (/ (- (* -7/2 im) (+ (* -3 (- im (* 1/2 im))) (* -1 im))) re))) (* 1/2 im)) re)) (* -1/6 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (- (+ im (* -1 (/ (- (+ (* -7/2 im) (* -1 (/ (- (* 6 im) (+ (* -3 (- (* -7/2 im) (+ (* -3 (- im (* 1/2 im))) (* -1 im)))) (+ (* -1 im) (* 6 (- im (* 1/2 im)))))) re))) (+ (* -3 (- im (* 1/2 im))) (* -1 im))) re))) (* 1/2 im)) re)) (* -1/6 im)))) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) (- (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) 1)) |
(/ (* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 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) |
(* 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 (/ (- (/ 1 re) 1) re))) 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))))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
1/120 |
(+ 1/120 (* -1/5040 (pow im 2))) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(* -1/5040 (pow im 2)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* -1/5040 (pow im 2)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* -1 im) |
(+ (* -1 im) (* im (pow re 2))) |
(+ (* -1 im) (* (pow re 2) (+ im (* im re)))) |
(+ (* -1 im) (* (pow re 2) (+ im (* re (+ im (* 7/12 (* im re))))))) |
(* 1/36 (* im (pow re 6))) |
(* (pow re 6) (+ (* 1/36 im) (* 1/6 (/ im re)))) |
(* (pow re 6) (+ (* 1/36 im) (+ (* 1/6 (/ im re)) (* 7/12 (/ im (pow re 2)))))) |
(* (pow re 6) (+ (* 1/36 im) (+ (* 1/6 (/ im re)) (+ (* 7/12 (/ im (pow re 2))) (/ im (pow re 3)))))) |
(* 1/36 (* im (pow re 6))) |
(* (pow re 6) (+ (* 1/36 im) (* 1/6 (/ im re)))) |
(* (pow re 6) (+ (* -1 (/ (+ (* -7/12 (/ im re)) (* -1/6 im)) re)) (* 1/36 im))) |
(* (pow re 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/12 im) (/ im re)) re)) (* -1/6 im)) re)) (* 1/36 im))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (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)) (neg.f64 (-.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 #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)) (neg.f64 (*.f64 re (*.f64 re re)))) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(fma.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 im)) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im) (*.f64 (*.f64 re re) (*.f64 (sin.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (* 1/2 (/ (sin im) re)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re) (*.f64 #s(literal 1/6 binary64) (sin.f64 im)))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (/ (sin im) (pow re 2))))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 im) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (*.f64 re re))))) |
(* (pow re 3) (+ (* 1/6 (sin im)) (+ (* 1/2 (/ (sin im) re)) (+ (/ (sin im) (pow re 2)) (/ (sin im) (pow re 3)))))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 im) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re) (/.f64 (sin.f64 im) (*.f64 re re)))) (/.f64 (sin.f64 im) (*.f64 re (*.f64 re re))))) |
(* 1/6 (* (pow re 3) (sin im))) |
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 #s(literal 1/6 binary64) (sin.f64 im))) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ (sin im) re)) (* -1/6 (sin im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 im) re) (*.f64 #s(literal 1/6 binary64) (sin.f64 im)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (sin im)) (/ (sin im) re)) re)) (* -1/6 (sin im))))) |
(*.f64 (-.f64 (*.f64 (sin.f64 im) #s(literal -1/6 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)) re)) (neg.f64 (*.f64 re (*.f64 re re)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))) re)) (* -1/6 (sin im))))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (fma.f64 (sin.f64 im) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re)) re)) (neg.f64 re))))) |
(* im (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(fma.f64 im (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(* im (+ 1 (+ re (+ (* -1/6 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(fma.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)) (*.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 #s(literal -1/6 binary64))))) im) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* 1/120 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(fma.f64 im (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 1/120 binary64)) #s(literal -1/6 binary64))) re)) im) |
(* im (+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re))))))) (* 1/120 (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))) |
(fma.f64 im (fma.f64 (*.f64 im im) (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 -1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1/6 binary64))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) im) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
(* (sin im) (+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) |
(*.f64 (sin.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))) |
1/2 |
#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)) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* im re)) |
(fma.f64 re im im) |
(* im re) |
(*.f64 re im) |
(* re (+ im (/ im re))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* re (+ im (/ im re))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* re (+ im (/ im re))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* im re) |
(*.f64 re im) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(*.f64 re (+.f64 im (/.f64 im re))) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 re im im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 re im im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 re im im) |
(* -1 (* im (- (* -1 re) 1))) |
(fma.f64 re im im) |
(* im (+ 1 re)) |
(fma.f64 re im im) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)) re) im) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)) re) im) |
(* im (+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))) |
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)) re) im) |
(* -1/6 (* (pow im 3) (+ 1 re))) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im im)) (+.f64 (/.f64 re (*.f64 im im)) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im im)) (+.f64 (/.f64 re (*.f64 im im)) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))))) |
(* (pow im 3) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2))))) |
(*.f64 (*.f64 im (*.f64 im im)) (+.f64 (/.f64 re (*.f64 im im)) (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))))) |
(* 1/6 (* (pow im 3) (- (* -1 re) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im im)))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) re) (/.f64 #s(literal -1 binary64) (*.f64 im im))) (/.f64 re (*.f64 im im))) (neg.f64 (*.f64 im (*.f64 im im)))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) re) (/.f64 #s(literal -1 binary64) (*.f64 im im))) (/.f64 re (*.f64 im im))) (neg.f64 (*.f64 im (*.f64 im im)))) |
(* -1 (* (pow im 3) (- (+ (* -1 (/ re (pow im 2))) (* -1/6 (- (* -1 re) 1))) (/ 1 (pow im 2))))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) re) (/.f64 #s(literal -1 binary64) (*.f64 im im))) (/.f64 re (*.f64 im im))) (neg.f64 (*.f64 im (*.f64 im im)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)) im) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2))))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(* im (* re (+ 1 (* -1/6 (pow im 2))))) |
(*.f64 re (fma.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)) im)) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
(* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
(* im (* re (+ 1 (* -1/6 (pow im 2))))) |
(*.f64 re (fma.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)) im)) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
(* -1 (* re (+ (* -1 (* im (+ 1 (* -1/6 (pow im 2))))) (* -1 (/ (* im (+ 1 (* -1/6 (pow im 2)))) re))))) |
(*.f64 re (*.f64 im (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) re)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow im 2))) |
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(*.f64 (pow.f64 re #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 im re) (fma.f64 im (/.f64 #s(literal 7/12 binary64) (*.f64 re re)) (*.f64 im #s(literal 1/36 binary64))))) |
(* (pow re 6) (+ (* 1/36 im) (+ (* 1/6 (/ im re)) (+ (* 7/12 (/ im (pow re 2))) (/ im (pow re 3)))))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (fma.f64 im #s(literal 1/36 binary64) (fma.f64 im (/.f64 #s(literal 7/12 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) (/.f64 im re) (/.f64 im (*.f64 re (*.f64 re re))))))) |
(* 1/36 (* im (pow re 6))) |
(*.f64 im (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
(* (pow re 6) (+ (* 1/36 im) (* 1/6 (/ im re)))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 im re) (*.f64 im #s(literal 1/36 binary64)))) |
(* (pow re 6) (+ (* -1 (/ (+ (* -7/12 (/ im re)) (* -1/6 im)) re)) (* 1/36 im))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (fma.f64 im #s(literal 1/36 binary64) (/.f64 (fma.f64 im #s(literal -1/6 binary64) (/.f64 (*.f64 im #s(literal -7/12 binary64)) re)) (neg.f64 re)))) |
(* (pow re 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* 7/12 im) (/ im re)) re)) (* -1/6 im)) re)) (* 1/36 im))) |
(*.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (*.f64 im #s(literal 1/36 binary64)) (/.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal 7/12 binary64) (/.f64 im re)) re)) re))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
(* im (- (* re (* (+ 1 (* re (+ 1/2 (* 1/6 re)))) (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))) 1)) |
(*.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)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) |
Compiled 49 896 to 3 695 computations (92.6% saved)
66 alts after pruning (56 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 266 | 23 | 1 289 |
| Fresh | 9 | 33 | 42 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 278 | 66 | 1 344 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) | |
| 29.6% | (fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) | |
| 28.7% | (fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) | |
| 26.7% | (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) | |
| 36.1% | (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) | |
| 36.1% | (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) | |
| 32.8% | (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) | |
| 36.5% | (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) | |
| ✓ | 28.2% | (fma.f64 re im im) |
| 26.7% | (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) | |
| 10.9% | (/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))) | |
| 70.0% | (/.f64 (sin.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)))) | |
| 67.2% | (/.f64 (sin.f64 im) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) | |
| 35.5% | (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) | |
| 25.4% | (/.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 im (fma.f64 re re #s(literal -1 binary64))))) | |
| 40.6% | (/.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)) (neg.f64 im))) | |
| 16.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) | |
| 16.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) | |
| 39.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) | |
| 66.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)))) | |
| 14.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) | |
| 24.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) | |
| 30.9% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) | |
| ✓ | 70.0% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 20.1% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im)) | |
| 16.5% | (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) | |
| 29.1% | (*.f64 (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)) im) | |
| 38.7% | (*.f64 (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))) im) | |
| 67.5% | (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| 37.6% | (*.f64 (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)) 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)) (sin.f64 im)) |
| ✓ | 67.2% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| 36.0% | (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) | |
| 36.7% | (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) | |
| 36.7% | (*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) | |
| 17.6% | (*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) | |
| 7.8% | (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) | |
| 37.6% | (*.f64 (/.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)))) im) | |
| 14.2% | (*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im im)))) | |
| ✓ | 70.0% | (*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
| ✓ | 53.4% | (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| 28.2% | (*.f64 (+.f64 re #s(literal 1 binary64)) im) | |
| 14.7% | (*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) | |
| 20.3% | (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) | |
| 16.5% | (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) | |
| 15.4% | (*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) | |
| 20.0% | (*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) | |
| 15.2% | (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) | |
| 15.5% | (*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) | |
| 17.7% | (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) | |
| 12.0% | (*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) | |
| 16.4% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) | |
| 4.3% | (*.f64 (sin.f64 im) re) | |
| 56.1% | (*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 65.0% | (*.f64 (exp.f64 re) im) |
| 7.6% | (*.f64 re im) | |
| 12.6% | (*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) | |
| 55.6% | (*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 14.4% | (*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) | |
| 11.6% | (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) | |
| 16.4% | (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) | |
| 14.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) | |
| ✓ | 52.5% | (sin.f64 im) |
| ✓ | 24.3% | im |
Compiled 2 119 to 864 computations (59.2% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
(*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.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)) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 im) (/.f64 #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 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)))) |
(/.f64 (sin.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)))) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 35.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 28.0ms | im |
| 25.0ms | (sin.f64 im) |
| 25.0ms | re |
| 21.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
(*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.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)) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 im) (/.f64 #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 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.f64 im)))) |
(/.f64 (sin.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)))) |
| Outputs |
|---|
(/.f64 (sin.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)))) |
(*.f64 (exp.f64 re) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
5 calls:
| 4.2s | im |
| 40.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 24.0ms | (sin.f64 im) |
| 22.0ms | re |
| 21.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | re |
| 84.6% | 2 | im |
| 97.7% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 92.8% | 2 | (exp.f64 re) |
| 84.7% | 3 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
(*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.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)) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (sin.f64 im)) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 im) (/.f64 #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 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re re #s(literal -1 binary64)) (sin.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)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
1 calls:
| 5.4s | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
(*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.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)) (sin.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)) (sin.f64 im)) |
(*.f64 (exp.f64 re) 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)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
1 calls:
| 20.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) (sin.f64 im)) |
(*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (sin.f64 im)) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (sin.f64 im)) |
(*.f64 (fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
1 calls:
| 28.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
1 calls:
| 18.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 4 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
(*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im)) |
2 calls:
| 21.0ms | re |
| 18.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 4 | re |
| 98.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) |
(*.f64 (exp.f64 re) im) |
2 calls:
| 19.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 19.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 93.1% | 3 | re |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(*.f64 (sin.f64 im) re) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
(sin.f64 im) |
(*.f64 (exp.f64 re) im) |
1 calls:
| 18.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
(sin.f64 im) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(sin.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)) (neg.f64 im))) |
(sin.f64 im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
3 calls:
| 19.0ms | re |
| 19.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 14.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | re |
| 84.1% | 3 | (exp.f64 re) |
| 89.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(*.f64 im (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 (*.f64 im im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 im im)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (neg.f64 (-.f64 (*.f64 im #s(literal -1/6 binary64)) (/.f64 (fma.f64 im #s(literal -1/2 binary64) (-.f64 im (/.f64 (fma.f64 im #s(literal -7/2 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) im) im)) re))) re)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/6 binary64) (/.f64 re im) (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(/.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) 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))) |
(/.f64 (fma.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))) (*.f64 im (*.f64 im im))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 re (*.f64 re im))) (/.f64 #s(literal -18 binary64) (*.f64 re im)))) (*.f64 re (*.f64 re re)))) |
| Outputs |
|---|
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 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)) (neg.f64 im))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))) |
5 calls:
| 19.0ms | im |
| 18.0ms | (sin.f64 im) |
| 18.0ms | re |
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 14.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 2 | (exp.f64 re) |
| 56.4% | 2 | re |
| 46.4% | 2 | (sin.f64 im) |
| 43.3% | 2 | im |
| 62.0% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #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 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))) im) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) im))) |
(*.f64 im (fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 re (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) im) (/.f64 #s(literal -18 binary64) (*.f64 re im))) (*.f64 re (*.f64 re re)))) |
(*.f64 (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)) im) |
(*.f64 (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)) im) |
| Outputs |
|---|
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 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)) (neg.f64 im))) |
(*.f64 (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))) im) |
1 calls:
| 14.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) 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)) (neg.f64 im))) |
(*.f64 (*.f64 (fma.f64 re im im) (fma.f64 re im (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 re im (neg.f64 im)))) |
(*.f64 (/.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)))) im) |
(*.f64 (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)) im) |
(/.f64 (*.f64 im (fma.f64 re (fma.f64 re #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 -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 im (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (/.f64 im (*.f64 re re)))) |
(/.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 im (fma.f64 re re #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 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)) (neg.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)) im) |
1 calls:
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
(fma.f64 im (fma.f64 (*.f64 im im) (fma.f64 re #s(literal -1/6 binary64) #s(literal -1/6 binary64)) re) 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 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) im) im) |
(fma.f64 (*.f64 im (*.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) |
(*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))) |
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))) |
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 re (*.f64 re (*.f64 re im))))) |
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) im) im) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im) |
3 calls:
| 12.0ms | re |
| 12.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 9.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.6% | 2 | re |
| 44.6% | 2 | (exp.f64 re) |
| 49.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im im)))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im im)))) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) im) |
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) im) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)) |
| Outputs |
|---|
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im) |
1 calls:
| 8.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 re im)) |
| Outputs |
|---|
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im) |
2 calls:
| 6.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.6% | 2 | (sin.f64 im) |
| 47.4% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
| Outputs |
|---|
(*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
| Outputs |
|---|
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
1 calls:
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
| Outputs |
|---|
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im) |
5 calls:
| 6.0ms | re |
| 5.0ms | im |
| 5.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 4.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 2 | (sin.f64 im) |
| 36.0% | 1 | im |
| 38.1% | 2 | re |
| 36.0% | 1 | (exp.f64 re) |
| 40.3% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
| Outputs |
|---|
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re im) im) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re (*.f64 re im)))) |
| Outputs |
|---|
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im) |
1 calls:
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
| Outputs |
|---|
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im re im) |
5 calls:
| 4.0ms | im |
| 3.0ms | (sin.f64 im) |
| 3.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | (exp.f64 re) |
| 28.2% | 1 | im |
| 28.2% | 1 | re |
| 31.6% | 2 | (sin.f64 im) |
| 31.8% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
(fma.f64 im re im) |
(fma.f64 re im im) |
(*.f64 (+.f64 re #s(literal 1 binary64)) im) |
| Outputs |
|---|
(fma.f64 im re im) |
2 calls:
| 2.0ms | (sin.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | (sin.f64 im) |
| 28.2% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
im |
(*.f64 re im) |
| Outputs |
|---|
im |
(*.f64 re im) |
5 calls:
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (sin.f64 im) |
| 1.0ms | im |
| 1.0ms | re |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.3% | 2 | im |
| 28.1% | 2 | re |
| 28.1% | 2 | (exp.f64 re) |
| 27.8% | 2 | (sin.f64 im) |
| 28.1% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
im |
| Outputs |
|---|
im |
5 calls:
| 1.0ms | (sin.f64 im) |
| 1.0ms | im |
| 1.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.3% | 1 | (sin.f64 im) |
| 24.3% | 1 | re |
| 24.3% | 1 | (exp.f64 re) |
| 24.3% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 24.3% | 1 | im |
Compiled 21 to 15 computations (28.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 1.0005296958640398e-130 | 2.051715731155847e-129 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 1.0005296958640398e-130 | 2.051715731155847e-129 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 1.0005296958640398e-130 | 2.051715731155847e-129 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 5.255515499756587e-56 | 4.52327717907932e-44 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 5.255515499756587e-56 | 4.52327717907932e-44 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.394302332641466e+154 | 6.257685126407528e+154 |
| 9.0ms | 9.944030952390863e-7 | 9.5832493234635e-6 |
| 15.0ms | -0.0009774267776216771 | -1.2349281307004727e-11 |
| 22.0ms | 336× | 0 | valid |
Compiled 358 to 268 computations (25.1% saved)
ival-sin: 8.0ms (56% of total)ival-exp: 4.0ms (28% of total)ival-mult: 2.0ms (14% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 5.255515499756587e-56 | 4.52327717907932e-44 |
| 0.0ms | -0.033507225725386475 | -0.0 |
| 0.0ms | -inf | -0.999940710070906 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 5.255515499756587e-56 | 4.52327717907932e-44 |
| 0.0ms | -0.033507225725386475 | -0.0 |
| 0.0ms | -inf | -0.999940710070906 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 40837.94186736665 | +inf |
| 0.0ms | 5.255515499756587e-56 | 4.52327717907932e-44 |
| 0.0ms | -0.033507225725386475 | -0.0 |
| 0.0ms | -inf | -0.999940710070906 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0005296958640398e-130 | 2.051715731155847e-129 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
| 0.0ms | -0.033507225725386475 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8974115808287314 | 0.9489675279188545 |
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005265642378012255 | 0.055029458989504565 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005265642378012255 | 0.055029458989504565 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.932226852418952e-307 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0857108203565417e+46 | 3.0917028847783333e+53 |
| 10.0ms | 144× | 0 | valid |
Compiled 100 to 73 computations (27% saved)
ival-sin: 5.0ms (70.3% of total)ival-exp: 1.0ms (14.1% of total)ival-mult: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 94× | *-commutative_binary64 |
| 20× | if-if-or-not_binary32 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 14× | if-not_binary32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1004 |
| 1 | 219 | 977 |
| 2 | 238 | 977 |
| 3 | 254 | 973 |
| 4 | 264 | 969 |
| 5 | 277 | 969 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (sin.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 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)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 re #s(literal -3504881374004815/4611686018427387904 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 re #s(literal 700976274800963/73786976294838206464 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (exp.f64 re) im) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (sin.f64 im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (sin.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (sin.f64 im) (*.f64 (exp.f64 re) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (fma.f64 (*.f64 im im) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (sin.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 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)) (neg.f64 im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (sin.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 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)) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) im))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 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)) (neg.f64 im))) (*.f64 (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))) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 im (*.f64 re (*.f64 re (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 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)) (neg.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)) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.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)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im im)))) (*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) (*.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8106479329266893/9007199254740992 binary64)) (fma.f64 re (fma.f64 im (*.f64 re #s(literal 1/2 binary64)) im) im) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 (*.f64 im (*.f64 im #s(literal -1/6 binary64))) (fma.f64 re im im)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (fma.f64 re im im)))) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/1152921504606846976 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/1152921504606846976 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
(if (<=.f64 im #s(literal 75999999999999998464505766549390097204847312896 binary64)) im (*.f64 re im)) |
im |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (sin.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (sin.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)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.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) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 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)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.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) (sin.f64 im)) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (sin.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))) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) (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) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (sin.f64 im) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) (*.f64 (exp.f64 re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (*.f64 (exp.f64 re) im) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 50000 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 im)) (*.f64 (exp.f64 re) im)))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) (*.f64 im (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) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (fma.f64 im re im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) (fma.f64 im re im)) |
(fma.f64 im re im) |
(if (<=.f64 im #s(literal 75999999999999998464505766549390097204847312896 binary64)) im (*.f64 re im)) |
im |
| 19 890× | accelerator-lowering-fma.f32 |
| 19 890× | accelerator-lowering-fma.f64 |
| 15 566× | accelerator-lowering-fma.f32 |
| 15 566× | accelerator-lowering-fma.f64 |
| 12 092× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 297 |
| 1 | 221 | 286 |
| 2 | 586 | 274 |
| 3 | 1574 | 268 |
| 4 | 2436 | 268 |
| 5 | 3110 | 268 |
| 6 | 3581 | 268 |
| 7 | 3732 | 268 |
| 8 | 4021 | 268 |
| 9 | 5977 | 268 |
| 0 | 8264 | 246 |
| 0 | 307 | 3277 |
| 1 | 1087 | 3086 |
| 2 | 4257 | 2928 |
| 3 | 7149 | 2921 |
| 0 | 8068 | 2592 |
| 0 | 453 | 4198 |
| 1 | 1494 | 4039 |
| 2 | 5270 | 4016 |
| 0 | 8254 | 3524 |
| 0 | 225 | 1762 |
| 1 | 819 | 1635 |
| 2 | 3014 | 1534 |
| 3 | 7543 | 1532 |
| 0 | 8034 | 1339 |
| 0 | 31 | 157 |
| 1 | 176 | 157 |
| 2 | 1547 | 157 |
| 0 | 8287 | 133 |
| 0 | 22 | 86 |
| 1 | 120 | 86 |
| 2 | 1003 | 86 |
| 0 | 8616 | 72 |
| 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 2 472 to 1 118 computations (54.8% saved)
(negabs im)
Compiled 2 088 to 346 computations (83.4% saved)
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