
Time bar (total: 17.7s)
| 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)
| 878.0ms | 8 256× | 0 | valid |
ival-sin: 201.0ms (55% of total)ival-exp: 99.0ms (27.1% of total)ival-mult: 56.0ms (15.3% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% 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 |
| 0 | 8 | 5 |
| 1 | 9 | 5 |
| 0 | 9 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
| Outputs |
|---|
(*.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: 13.0ms (62.4% of total)ival-exp: 4.0ms (19.2% of total)ival-mult: 3.0ms (14.4% 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× | lower-*.f32 |
| 2× | lift-sin.f64 |
| 2× | *-commutative |
| 2× | lift-exp.f64 |
| 2× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 8 | 11 |
| 1 | 9 | 11 |
| 0 | 9 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp.f64 re) |
re |
(sin.f64 im) |
im |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp.f64 re) |
re |
(sin.f64 im) |
im |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 16.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-sin: 5.0ms (53.4% of total)ival-exp: 2.0ms (21.4% of total)ival-mult: 2.0ms (21.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (exp.f64 re) (sin.f64 im))> |
#<alt (exp.f64 re)> |
#<alt (sin.f64 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 | @ | 0 | (* (exp re) (sin im)) |
| 1.0ms | re | @ | inf | (* (exp re) (sin im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (sin im)) |
| 0.0ms | im | @ | inf | (* (exp re) (sin im)) |
| 0.0ms | im | @ | -inf | (* (exp re) (sin im)) |
| 1× | egg-herbie |
| 15 566× | lower-fma.f64 |
| 15 566× | lower-fma.f32 |
| 4 310× | lower-*.f64 |
| 4 310× | lower-*.f32 |
| 2 896× | lower--.f64 |
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) |
| 1× | batch-egg-rewrite |
| 4× | lower-*.f32 |
| 2× | lift-sin.f64 |
| 2× | lift-exp.f64 |
| 2× | lower-*.f64 |
| 2× | lower-sin.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 0 | 8 | 9 |
| 1 | 9 | 9 |
| 0 | 9 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(exp.f64 re) |
(sin.f64 im) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(exp.f64 re) |
(sin.f64 im) |
Compiled 393 to 47 computations (88% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 6 | 51 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 7 | 52 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 59.6% | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ▶ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 66.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 55.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ▶ | 54.8% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
Compiled 135 to 83 computations (38.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (sin.f64 im) |
| ✓ | cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (exp.f64 re) |
| ✓ | cost-diff | 0 | (*.f64 im (exp.f64 re)) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ✓ | cost-diff | 0 | (sin.f64 im) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 448× | lower-fma.f32 |
| 438× | lower-fma.f64 |
| 182× | lower-*.f32 |
| 174× | lower-*.f64 |
| 128× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 43 | 149 |
| 1 | 76 | 149 |
| 2 | 121 | 149 |
| 3 | 209 | 149 |
| 4 | 266 | 149 |
| 5 | 301 | 149 |
| 0 | 301 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
im |
(exp.f64 re) |
re |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 im (exp.f64 re)) |
(*.f64 (exp.f64 re) im) |
im |
(exp.f64 re) |
re |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | accuracy | 66.8% | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 re #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ✓ | accuracy | 55.3% | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 re) |
| ✓ | accuracy | 100.0% | (*.f64 im (exp.f64 re)) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ✓ | accuracy | 100.0% | (sin.f64 im) |
| ✓ | accuracy | 54.8% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ✓ | accuracy | 99.9% | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 112.0ms | 256× | 0 | valid |
Compiled 106 to 22 computations (79.2% saved)
ival-mult: 10.0ms (32.6% of total)ival-add: 8.0ms (26.1% of total)ival-sin: 6.0ms (19.6% of total)const: 4.0ms (13.1% of total)ival-exp: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (* (exp re) (sin im)) (sin.f64 im))> |
#<alt (sin.f64 im)> |
#<alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))> |
#<alt (*.f64 im (exp.f64 re))> |
#<alt (exp.f64 re)> |
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im))> |
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))> |
#<alt (+.f64 re #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
| 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 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 (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 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 (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 (* 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> |
#<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 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) (* 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 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) (* 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 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (+ 1 (* 1/2 re))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* 1/2 re)> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt (* re (+ 1/2 (/ 1 re)))> |
#<alt 1/2> |
#<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))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | -inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 0.0ms | re | @ | inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 0.0ms | im | @ | 0 | (* im (exp re)) |
| 0.0ms | im | @ | inf | (* im (exp re)) |
| 0.0ms | re | @ | -inf | (* im (exp re)) |
| 1× | egg-herbie |
| 18 716× | lower-fma.f64 |
| 18 716× | lower-fma.f32 |
| 5 338× | lower-*.f64 |
| 5 338× | lower-*.f32 |
| 2 524× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1118 | 1618 |
| 3 | 3936 | 1588 |
| 4 | 7275 | 1588 |
| 0 | 8041 | 1437 |
| 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) |
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))))) |
(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)) |
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) |
(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)) |
(* 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 |
(+ 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)) |
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) (* 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) |
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) (* 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) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
| Outputs |
|---|
(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 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* 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 (*.f64 im 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)) #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) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (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 #s(literal 1/6 binary64) (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(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 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* 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 (*.f64 im 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)) #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 |
(* 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 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im 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 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) |
(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) |
(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 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* 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 (*.f64 im 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)) #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)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.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) |
(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 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* 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 (*.f64 im 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)) #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) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(* re (+ 1 (/ 1 re))) |
(+.f64 re #s(literal 1 binary64)) |
(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 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* 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 (*.f64 im 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)) #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) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| 1× | batch-egg-rewrite |
| 8 742× | lower-fma.f32 |
| 8 732× | lower-fma.f64 |
| 5 096× | lower-*.f32 |
| 5 088× | lower-*.f64 |
| 3 950× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 43 | 128 |
| 1 | 142 | 128 |
| 2 | 981 | 128 |
| 0 | 8319 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
(exp.f64 re) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
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(fma.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) 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)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) re) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re re) #s(literal 1/144 binary64)))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) re) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #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 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
Compiled 14 735 to 1 591 computations (89.2% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 676 | 20 | 696 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 676 | 27 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 59.6% | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) | |
| ✓ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 40.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
| 40.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 66.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 37.4% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ▶ | 70.9% | (*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| 66.8% | (*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) | |
| 70.8% | (*.f64 #s(approx (exp re) (+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 55.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 19.9% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) | |
| ▶ | 19.9% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
| 19.7% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) (sin.f64 im)) | |
| 15.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) | |
| 15.9% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (sin.f64 im)) | |
| ✓ | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 42.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.7% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 32.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| ▶ | 27.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 54.8% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ▶ | 40.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
| 32.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) | |
| 29.4% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
Compiled 745 to 418 computations (43.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
| ✓ | cost-diff | 0 | #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
| ✓ | cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
| ✓ | cost-diff | 0 | #s(approx (exp re) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) |
| ✓ | cost-diff | 1920 | (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
| 9 786× | lower-fma.f32 |
| 9 768× | lower-fma.f64 |
| 2 972× | lower-*.f32 |
| 2 954× | lower-*.f64 |
| 1 582× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 449 |
| 0 | 82 | 471 |
| 1 | 163 | 471 |
| 2 | 411 | 462 |
| 3 | 1093 | 462 |
| 4 | 1797 | 462 |
| 5 | 2382 | 462 |
| 6 | 3096 | 452 |
| 7 | 3893 | 452 |
| 8 | 4732 | 412 |
| 9 | 6485 | 412 |
| 10 | 7761 | 412 |
| 0 | 8017 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
#s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) |
(+.f64 re #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
im |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (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) |
re |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) |
(*.f64 im re) |
im |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
(fma.f64 (*.f64 im 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) |
(*.f64 im im) |
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))) |
(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)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(sin.f64 im) |
im |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) |
(+.f64 re #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
im |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)) |
#s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im) |
re |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) |
(fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(*.f64 im re) |
(*.f64 re im) |
im |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
#s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(fma.f64 (*.f64 im 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) |
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im) |
(*.f64 im im) |
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))) |
(*.f64 im (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(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)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))) |
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(sin.f64 im) |
im |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
| ✓ | accuracy | 47.2% | #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.7% | (*.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))) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) (fma.f64 re (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 | 51.4% | #s(approx (sin im) (fma.f64 (*.f64 im 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)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 71.0% | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
| ✓ | accuracy | 100.0% | (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | accuracy | 54.6% | #s(approx (exp re) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.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 | 80.6% | (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
| 116.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 286 to 41 computations (85.7% saved)
ival-mult: 28.0ms (36.6% of total)ival-exp: 13.0ms (17% of total)ival-add: 12.0ms (15.7% of total)const: 12.0ms (15.7% of total)ival-sin: 6.0ms (7.8% of total)ival-div: 3.0ms (3.9% of total)ival-sub: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))> |
#<alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))))> |
#<alt (*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im))> |
#<alt #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))> |
#<alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64))))> |
#<alt (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))> |
#<alt #s(approx (exp re) #s(literal 1 binary64))> |
#<alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)))> |
#<alt #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))> |
#<alt (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im)> |
#<alt (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im)> |
#<alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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)))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im))> |
#<alt #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))> |
#<alt #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))> |
#<alt (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))> |
#<alt (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))> |
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt #s(approx (sin im) (fma.f64 (*.f64 im 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))> |
#<alt (*.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)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))> |
#<alt (* -1/2 (pow re 2))> |
#<alt (* (pow re 2) (- (* -5/6 re) 1/2))> |
#<alt (* (pow re 2) (- (* re (- (* -1 re) 5/6)) 1/2))> |
#<alt (* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 5/6)) 1/2))> |
#<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 (* (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 (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 (* 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> |
#<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 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) (* 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 (* 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> |
#<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> |
#<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 (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt im> |
#<alt (+ im (* 1/2 (* im re)))> |
#<alt (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))> |
#<alt (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))> |
#<alt (* 1/6 (* im (pow re 2)))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))> |
#<alt (* 1/6 (* im (pow re 2)))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))> |
#<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 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 (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 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 (* 1/2 (pow re 2))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (pow re 2))> |
#<alt (* (pow re 2) (- (* -1 re) 1))> |
#<alt (* (pow re 2) (- (* re (- (* -1 re) 1)) 1))> |
#<alt (* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 1)) 1))> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* re (+ 1 (+ (/ 1 re) (/ 1 (pow re 2)))))> |
#<alt (* re (+ 1 (+ (/ 1 re) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt re> |
#<alt (* re (+ 1 (/ 1 re)))> |
#<alt (* -1 (* re (- (* -1 (/ (+ 1 (/ 1 re)) re)) 1)))> |
#<alt (* -1 (* re (- (* -1 (/ (+ 1 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1)))> |
#<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 (* -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))))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | inf | (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) |
| 1.0ms | re | @ | inf | (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) |
| 1.0ms | im | @ | 0 | (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) |
| 1.0ms | im | @ | -inf | (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) |
| 1.0ms | im | @ | inf | (* im (+ (* (* im im) (+ (* (* im im) -1/5040) 1/120)) -1/6)) |
| 1× | egg-herbie |
| 13 124× | lower-fma.f64 |
| 13 124× | lower-fma.f32 |
| 4 506× | lower-*.f64 |
| 4 506× | lower-*.f32 |
| 3 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 3046 |
| 1 | 742 | 2945 |
| 2 | 2277 | 2846 |
| 3 | 5377 | 2815 |
| 0 | 8329 | 2542 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(* -1/2 (pow re 2)) |
(* (pow re 2) (- (* -5/6 re) 1/2)) |
(* (pow re 2) (- (* re (- (* -1 re) 5/6)) 1/2)) |
(* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 5/6)) 1/2)) |
(* 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))))))) |
(* (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) |
(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)) |
(* 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 |
(+ 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)) |
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) (* 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)) |
(* 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 |
(+ 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 |
(+ 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))))))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(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) |
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))))) |
(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) |
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))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (pow re 2)) |
(* (pow re 2) (- (* -1 re) 1)) |
(* (pow re 2) (- (* re (- (* -1 re) 1)) 1)) |
(* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 1)) 1)) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* re (+ 1 (+ (/ 1 re) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
re |
(* re (+ 1 (/ 1 re))) |
(* -1 (* re (- (* -1 (/ (+ 1 (/ 1 re)) re)) 1))) |
(* -1 (* re (- (* -1 (/ (+ 1 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1))) |
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) |
(* -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)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re))) |
(* -1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal -1/2 binary64))) |
(* (pow re 2) (- (* -5/6 re) 1/2)) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal -5/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow re 2) (- (* re (- (* -1 re) 5/6)) 1/2)) |
(*.f64 (*.f64 re re) (fma.f64 re (-.f64 #s(literal -5/6 binary64) re) #s(literal -1/2 binary64))) |
(* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 5/6)) 1/2)) |
(*.f64 (*.f64 re re) (fma.f64 re (-.f64 #s(literal -5/6 binary64) (fma.f64 re re re)) #s(literal -1/2 binary64))) |
(* 1/6 (pow re 3)) |
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im |
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(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
im |
(+ im (* 1/2 (* im re))) |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) |
(* 1/6 (* im (pow re 2))) |
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(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
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(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))) |
(* 1/6 (* im (pow re 2))) |
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(*.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
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(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* im (exp re)) |
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(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* (exp re) (sin im)) |
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(* (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 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
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(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (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))))))) |
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(* (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)) |
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(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) 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 (*.f64 im 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 (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (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))) (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)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
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(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (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)) |
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(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
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(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
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(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
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(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
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(* (pow re 2) (+ 1/2 (* 1/6 re))) |
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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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(* -1 (pow re 2)) |
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(* (pow re 2) (- (* -1 re) 1)) |
(neg.f64 (*.f64 (fma.f64 re re re) re)) |
(* (pow re 2) (- (* re (- (* -1 re) 1)) 1)) |
(*.f64 re (neg.f64 (fma.f64 re (fma.f64 re re re) re))) |
(* (pow re 2) (- (* re (- (* re (- (* -1 re) 1)) 1)) 1)) |
(*.f64 (*.f64 re re) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) re))) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
(* re (+ 1 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(+.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) |
(* re (+ 1 (+ (/ 1 re) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(+.f64 re (fma.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1 binary64))) |
re |
(* re (+ 1 (/ 1 re))) |
(+.f64 #s(literal 1 binary64) re) |
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(+.f64 re (/.f64 (+.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))) re)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
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(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)) |
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 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(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) |
(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) |
(* -1/6 im) |
(*.f64 im #s(literal -1/6 binary64)) |
(* im (- (* 1/120 (pow im 2)) 1/6)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(*.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 (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(*.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))) |
(* -1/5040 (pow im 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 5 binary64))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* -1/5040 (pow im 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 5 binary64))) |
(* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
| 1× | batch-egg-rewrite |
| 5 008× | lower-*.f32 |
| 4 990× | lower-*.f64 |
| 4 208× | lower-fma.f32 |
| 4 190× | lower-fma.f64 |
| 3 454× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 354 |
| 0 | 82 | 376 |
| 1 | 309 | 318 |
| 2 | 2528 | 318 |
| 0 | 8118 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
#s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (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) |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) |
#s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
(*.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))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.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 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (+.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 (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 (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(+.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 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(-.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 re (/.f64 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 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.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 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re re) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re re #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal -1 binary64)) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(/.f64 (fma.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im)))) (*.f64 #s(literal -1/216 binary64) (*.f64 im (*.f64 im im)))) (fma.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 im #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im)))) (*.f64 (*.f64 im #s(literal -1/6 binary64)) (*.f64 im #s(literal -1/6 binary64)))) (-.f64 (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 im (*.f64 im im))) (*.f64 im #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 im (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 im (fma.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) im) (-.f64 (fma.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 im im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) 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))) |
(*.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))) |
(*.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) |
Compiled 59 703 to 2 565 computations (95.7% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 186 | 25 | 1 211 |
| Fresh | 6 | 10 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 196 | 42 | 1 238 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 40.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) | |
| ▶ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| ✓ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 40.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| ▶ | 32.4% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
| ✓ | 66.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 37.4% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 32.8% | (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 29.9% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 66.8% | (*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) | |
| 70.8% | (*.f64 #s(approx (exp re) (+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 55.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 19.9% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) | |
| 19.9% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (sin.f64 im)) | |
| 19.7% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) (sin.f64 im)) | |
| 15.9% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) | |
| 16.1% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 16.0% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 15.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) | |
| ✓ | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 42.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.7% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 32.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| ✓ | 27.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 54.8% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 40.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) | |
| 32.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) | |
| 41.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) | |
| ▶ | 40.4% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
| 35.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) | |
| 33.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) | |
| 40.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) | |
| ▶ | 32.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| 21.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) | |
| ▶ | 17.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
| 17.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) | |
| 9.9% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) | |
| 29.4% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
Compiled 1 662 to 838 computations (49.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.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))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
| ✓ | cost-diff | 448 | (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
| ✓ | cost-diff | 64 | (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) |
| ✓ | cost-diff | 1664 | (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) |
| ✓ | cost-diff | 0 | (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im) |
| ✓ | cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
| ✓ | cost-diff | 0 | (fma.f64 re im im) |
| ✓ | cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 re im im)) |
| ✓ | cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| ✓ | cost-diff | 0 | (*.f64 re re) |
| ✓ | cost-diff | 0 | #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| ✓ | cost-diff | 128 | (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
| 9 422× | lower-fma.f32 |
| 9 394× | lower-fma.f64 |
| 3 452× | lower-*.f32 |
| 3 432× | lower-*.f64 |
| 2 254× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 659 |
| 0 | 117 | 635 |
| 1 | 243 | 635 |
| 2 | 600 | 626 |
| 3 | 1542 | 626 |
| 4 | 2282 | 626 |
| 5 | 3343 | 614 |
| 6 | 5464 | 614 |
| 7 | 7245 | 614 |
| 0 | 8386 | 586 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 re re) |
re |
(+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 re #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
(fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im) |
re |
(fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) |
(*.f64 im re) |
im |
#s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) |
(*.f64 re #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))) |
#s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
(*.f64 re (*.f64 re re)) |
re |
(*.f64 re re) |
(fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) |
#s(literal 1/6 binary64) |
im |
(/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) |
(fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) |
#s(literal 1/2 binary64) |
(/.f64 im re) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 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)) |
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)) |
(/.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)))) |
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) |
(*.f64 re (*.f64 re 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))) |
(fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) |
#s(literal 1/36 binary64) |
#s(literal 1/4 binary64) |
(*.f64 re #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
(fma.f64 (*.f64 im 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) |
(*.f64 im im) |
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))) |
(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)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 re re) |
re |
(+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 re #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 re #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
(fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im) |
(fma.f64 re (fma.f64 (*.f64 re im) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im) |
re |
(fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) |
(fma.f64 (*.f64 re im) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) |
(*.f64 im re) |
(*.f64 re im) |
im |
#s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) |
(*.f64 re #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))) |
#s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im)))) |
#s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))) |
#s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
(*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im)) |
(*.f64 re (*.f64 re re)) |
re |
(*.f64 re re) |
(fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)) |
(fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) (*.f64 re re))) |
#s(literal 1/6 binary64) |
im |
(/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) |
(/.f64 (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) (*.f64 re re)) |
(fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) |
#s(literal 1/2 binary64) |
(/.f64 im re) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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)) |
(fma.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) |
(*.f64 re (*.f64 re 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))) |
(fma.f64 re (fma.f64 re #s(literal 1/36 binary64) #s(literal -1/12 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) |
(fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/36 binary64) |
#s(literal 1/4 binary64) |
(*.f64 re #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
#s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 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)) |
(fma.f64 (*.f64 im 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) |
(fma.f64 (fma.f64 im (*.f64 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) |
(*.f64 im im) |
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))) |
(*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(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)) |
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 re #s(literal 1/12 binary64)) |
| ✓ | accuracy | 72.2% | (/.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)))) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.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))) |
| ✓ | accuracy | 51.4% | #s(approx (sin im) (fma.f64 (*.f64 im 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)) |
| ✓ | accuracy | 71.0% | #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
| ✓ | accuracy | 61.8% | (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
| ✓ | accuracy | 47.6% | #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))) |
| ✓ | accuracy | 99.5% | (*.f64 re #s(literal 1/6 binary64)) |
| ✓ | accuracy | 71.0% | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
| ✓ | accuracy | 46.7% | #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 re im im) |
| ✓ | accuracy | 67.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| ✓ | accuracy | 61.1% | #s(approx (* im (exp re)) (fma.f64 re im im)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.8% | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 70.9% | #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
| 133.0ms | 256× | 0 | valid |
Compiled 414 to 63 computations (84.8% saved)
ival-mult: 35.0ms (35.2% of total)ival-add: 22.0ms (22.1% of total)const: 21.0ms (21.1% of total)ival-div: 9.0ms (9% of total)ival-sin: 9.0ms (9% of total)ival-exp: 2.0ms (2% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))> |
#<alt (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im))> |
#<alt #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))> |
#<alt (*.f64 re re)> |
#<alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im)))> |
#<alt #s(approx (* im (exp re)) (fma.f64 re im im))> |
#<alt (fma.f64 re im im)> |
#<alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)))> |
#<alt #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))> |
#<alt (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)> |
#<alt (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im)> |
#<alt (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)> |
#<alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))))> |
#<alt #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))> |
#<alt (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))> |
#<alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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)))> |
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.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)))> |
#<alt (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))> |
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))> |
#<alt (*.f64 re #s(literal 1/6 binary64))> |
#<alt #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))> |
#<alt #s(approx (sin im) (fma.f64 (*.f64 im 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))> |
#<alt (/.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))))> |
#<alt (*.f64 re #s(literal 1/12 binary64))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 re)> |
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))> |
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))> |
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))> |
#<alt (* 1/6 (pow re 3))> |
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))> |
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))> |
#<alt (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 (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 (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 (* 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> |
#<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> |
#<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 (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 (* 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> |
#<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> |
#<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 (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))> |
#<alt im> |
#<alt (+ im (* 1/2 (* im re)))> |
#<alt (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))> |
#<alt (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))> |
#<alt (* 1/6 (* im (pow re 2)))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))> |
#<alt (* 1/6 (* im (pow re 2)))> |
#<alt (* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))> |
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))> |
#<alt (* im re)> |
#<alt (* re (+ im (* 1/2 (* im re))))> |
#<alt (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))> |
#<alt (* 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)))))> |
#<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 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))> |
#<alt (* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))))> |
#<alt (* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))))> |
#<alt (* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))))> |
#<alt (* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))))> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ (* im (+ 1/2 (/ 1 re))) re)> |
#<alt (/ im (pow re 2))> |
#<alt (/ (+ im (* 1/2 (* im re))) (pow re 2))> |
#<alt (/ (+ im (* 1/2 (* im re))) (pow re 2))> |
#<alt (/ (+ im (* 1/2 (* im re))) (pow re 2))> |
#<alt (* 1/2 (/ im re))> |
#<alt (/ (+ (* 1/2 im) (/ im re)) re)> |
#<alt (/ (+ (* 1/2 im) (/ im re)) re)> |
#<alt (/ (+ (* 1/2 im) (/ im re)) re)> |
#<alt (* 1/2 (/ im re))> |
#<alt (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re))> |
#<alt (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re))> |
#<alt (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) 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) (* 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 (* 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> |
#<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 1/4> |
#<alt (+ 1/4 (* -1/12 re))> |
#<alt (+ 1/4 (* re (- (* 1/36 re) 1/12)))> |
#<alt (+ 1/4 (* re (- (* 1/36 re) 1/12)))> |
#<alt (* 1/36 (pow re 2))> |
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))> |
#<alt (* (pow re 2) (- (+ 1/36 (/ 1/4 (pow re 2))) (* 1/12 (/ 1 re))))> |
#<alt (* (pow re 2) (- (+ 1/36 (/ 1/4 (pow re 2))) (* 1/12 (/ 1 re))))> |
#<alt (* 1/36 (pow re 2))> |
#<alt (* (pow re 2) (- 1/36 (* 1/12 (/ 1 re))))> |
#<alt (* (pow re 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 re))) re))))> |
#<alt (* (pow re 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 re))) 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) (* 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 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 1/2> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 re)> |
#<alt (* 1/6 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 (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))> |
#<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 1/2> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (+ 1/2 (* 1/6 re))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/6 re)> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
#<alt (* 1/12 re)> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | im | @ | inf | (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) |
| 2.0ms | im | @ | -inf | (+ (* re im) im) |
| 2.0ms | im | @ | 0 | (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) |
| 1.0ms | im | @ | -inf | (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) |
| 1.0ms | re | @ | inf | (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12))) |
| 1× | egg-herbie |
| 15 660× | lower-fma.f64 |
| 15 660× | lower-fma.f32 |
| 4 704× | lower-*.f64 |
| 4 704× | lower-*.f32 |
| 3 950× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 3793 |
| 1 | 683 | 3674 |
| 2 | 2132 | 3553 |
| 3 | 5053 | 3424 |
| 0 | 8624 | 3065 |
| 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))))))) |
(* (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) |
(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) |
(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)) |
(* 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 |
(+ 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 |
(+ 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))) |
(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)) |
(* 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 |
(+ 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 |
(+ 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))))))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* im (+ 1 (* re (+ 1/2 (* 1/6 re))))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(* 1/6 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im))) |
(* im re) |
(* re (+ im (* 1/2 (* im re)))) |
(* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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))))) |
(* 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 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* im (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))) |
(* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))) |
(* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))) |
(* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))) |
(* -1 (* im (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ (* im (+ 1/2 (/ 1 re))) re) |
(/ im (pow re 2)) |
(/ (+ im (* 1/2 (* im re))) (pow re 2)) |
(/ (+ im (* 1/2 (* im re))) (pow re 2)) |
(/ (+ im (* 1/2 (* im re))) (pow re 2)) |
(* 1/2 (/ im re)) |
(/ (+ (* 1/2 im) (/ im re)) re) |
(/ (+ (* 1/2 im) (/ im re)) re) |
(/ (+ (* 1/2 im) (/ im re)) re) |
(* 1/2 (/ im re)) |
(* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) |
(* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) |
(* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) |
(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)) |
(* 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 |
(+ 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)) |
1/4 |
(+ 1/4 (* -1/12 re)) |
(+ 1/4 (* re (- (* 1/36 re) 1/12))) |
(+ 1/4 (* re (- (* 1/36 re) 1/12))) |
(* 1/36 (pow re 2)) |
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re)))) |
(* (pow re 2) (- (+ 1/36 (/ 1/4 (pow re 2))) (* 1/12 (/ 1 re)))) |
(* (pow re 2) (- (+ 1/36 (/ 1/4 (pow re 2))) (* 1/12 (/ 1 re)))) |
(* 1/36 (pow re 2)) |
(* (pow re 2) (- 1/36 (* 1/12 (/ 1 re)))) |
(* (pow re 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 re))) re)))) |
(* (pow re 2) (+ 1/36 (* -1 (/ (- 1/12 (* 1/4 (/ 1 re))) re)))) |
(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) |
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))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 re) |
(* 1/6 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))))))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
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) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
(* 1/12 re) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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)))))) |
(*.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))))))) |
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(* (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 im (*.f64 im #s(literal -1/6 binary64))) 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 (*.f64 im 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 (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (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))) (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)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(pow re 2) |
(*.f64 re re) |
(sin im) |
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(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
im |
(+ im (* im re)) |
(fma.f64 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* 1/6 (* im (pow re 3))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re)))) |
(*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2))))) |
(*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im)) |
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3)))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) (/.f64 (*.f64 (*.f64 re (*.f64 re re)) im) (*.f64 re (*.f64 re re)))) |
(* 1/6 (* im (pow re 3))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im)) |
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im)))) |
(*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im)))) |
(*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im)) |
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im)))) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 im (/.f64 im re)) re)) re))) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) |
(fma.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im) im) |
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 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im im) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(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) |
(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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
(* 1/12 re) |
(*.f64 re #s(literal 1/12 binary64)) |
| 1× | batch-egg-rewrite |
| 5 190× | lower-fma.f32 |
| 5 162× | lower-fma.f64 |
| 4 582× | lower-*.f32 |
| 4 562× | lower-*.f64 |
| 2 986× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 482 |
| 0 | 117 | 453 |
| 1 | 499 | 412 |
| 2 | 4304 | 412 |
| 0 | 8135 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(*.f64 re re) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im)) |
(fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im) |
(fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) |
(*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re))))) |
(-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) |
(*.f64 re #s(literal 1/6 binary64)) |
#s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))) |
#s(approx (sin im) (fma.f64 (*.f64 im 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)) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) |
(*.f64 re #s(literal 1/12 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 re (*.f64 re (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (*.f64 re re) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (*.f64 re (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) re (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) (neg.f64 re)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) |
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(pow.f64 (/.f64 (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))))) #s(literal -1 binary64)) |
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(fma.f64 im (*.f64 (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64)))) re) (fma.f64 re im im)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.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)) |
(pow.f64 (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 re (*.f64 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 re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (*.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64)))) (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re #s(literal 1/12 binary64)) (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
#s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) |
(*.f64 re #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) re) |
#s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))) |
#s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) im)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) |
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64)) (*.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))))) |
(/.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.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)) |
(pow.f64 (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 re (*.f64 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 re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (*.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64)))) (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 re #s(literal 1/12 binary64)) (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) (fma.f64 re #s(literal 1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/10077696 binary64)) #s(literal 1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/1728 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 re #s(literal -1/12 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
(*.f64 re #s(literal 1/12 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) |
(*.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/12 binary64) re) |
Compiled 23 124 to 1 460 computations (93.7% saved)
51 alts after pruning (42 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 839 | 21 | 860 |
| Fresh | 9 | 21 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 851 | 51 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))) (sin.f64 im)) | |
| 40.7% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 58.7% | (*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) (neg.f64 re)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) | |
| 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) | |
| 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) | |
| ✓ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
| ✓ | 70.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 40.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 32.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 42.1% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| ✓ | 66.8% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 37.4% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 66.8% | (*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) | |
| 70.8% | (*.f64 #s(approx (exp re) (+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 im)) | |
| ✓ | 55.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.2% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 19.9% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) | |
| 19.9% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (sin.f64 im)) | |
| 19.7% | (*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) (sin.f64 im)) | |
| 16.1% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 16.0% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) | |
| 15.9% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) | |
| 15.8% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) | |
| ✓ | 67.5% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 42.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.7% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 32.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| ✓ | 27.8% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 54.8% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 40.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) | |
| 32.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) | |
| 41.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) | |
| 40.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) | |
| ✓ | 32.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| 24.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) | |
| 21.4% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) | |
| 15.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) | |
| 21.4% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) | |
| 15.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) | |
| 16.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) | |
| 17.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) | |
| 17.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) | |
| 18.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) | |
| 17.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) | |
| 16.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) | |
| 18.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) | |
| 11.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) | |
| 8.4% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) | |
| 29.4% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
Compiled 2 451 to 753 computations (69.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (sin.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) (neg.f64 re)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 30.0ms | im |
| 24.0ms | (sin.f64 im) |
| 21.0ms | re |
| 20.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 16.0ms | (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 |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (sin.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64)))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) (neg.f64 re)) (*.f64 (*.f64 re re) (+.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
5 calls:
| 65.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 33.0ms | (sin.f64 im) |
| 20.0ms | im |
| 20.0ms | re |
| 17.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 4 | re |
| 85.7% | 2 | im |
| 99.0% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 94.6% | 3 | (exp.f64 re) |
| 85.5% | 3 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (sin.f64 im)) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (- (+ (* (+ (* re 1/6) 1/2) (* re re)) (/ (* re re) (+ re -1))) (/ 1 (+ re -1))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
1 calls:
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) (*.f64 re re)))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
1 calls:
| 15.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
2 calls:
| 104.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 14.0ms | re |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 3 | re |
| 98.8% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
5 calls:
| 59.0ms | (exp.f64 re) |
| 15.0ms | im |
| 14.0ms | (sin.f64 im) |
| 14.0ms | re |
| 13.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 3 | (sin.f64 im) |
| 65.4% | 2 | im |
| 77.1% | 4 | re |
| 74.9% | 3 | (exp.f64 re) |
| 79.0% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im) (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (-.f64 (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) (fma.f64 re #s(literal -1/12 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (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 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))) (fma.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (neg.f64 im))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
5 calls:
| 59.0ms | im |
| 14.0ms | (sin.f64 im) |
| 13.0ms | re |
| 12.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 11.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 2 | (sin.f64 im) |
| 46.0% | 2 | im |
| 48.0% | 2 | (exp.f64 re) |
| 50.1% | 3 | re |
| 52.6% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re im)) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) (/.f64 #s(literal 1 binary64) re))))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (/ (+ (* (* re (* re re)) 1/216) 1/8) (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)))) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im 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)))) im) im))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re re)))) (fma.f64 #s(literal 1/6 binary64) im (/.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 re (*.f64 re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im)))))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
4 calls:
| 53.0ms | (sin.f64 im) |
| 8.0ms | re |
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 6.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 2 | (exp.f64 re) |
| 44.7% | 2 | re |
| 47.2% | 2 | (sin.f64 im) |
| 49.0% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
2 calls:
| 8.0ms | (sin.f64 im) |
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 2 | (sin.f64 im) |
| 48.6% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) im #s(approx (/ (+ (* 1/2 im) (/ im re)) re) (/.f64 (*.f64 #s(literal 1/2 binary64) im) re))))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 40.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
2 calls:
| 7.0ms | (sin.f64 im) |
| 6.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 2 | (sin.f64 im) |
| 46.1% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
3 calls:
| 12.0ms | (sin.f64 im) |
| 6.0ms | im |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.2% | 2 | (sin.f64 im) |
| 42.8% | 1 | im |
| 45.6% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (*.f64 re (*.f64 re (*.f64 #s(literal 1/6 binary64) im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 (*.f64 re re) (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re im))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re #s(approx (+ (* (* im re) (+ (* re 1/6) 1/2)) im) (*.f64 re (*.f64 im (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (*.f64 re re)) im))))) |
2 calls:
| 6.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.1% | 2 | (sin.f64 im) |
| 45.2% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
5 calls:
| 4.0ms | (sin.f64 im) |
| 4.0ms | im |
| 4.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.2% | 2 | (sin.f64 im) |
| 39.7% | 1 | im |
| 39.7% | 1 | re |
| 39.7% | 1 | (exp.f64 re) |
| 42.5% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im))) |
5 calls:
| 22.0ms | (sin.f64 im) |
| 3.0ms | re |
| 3.0ms | im |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.0% | 1 | re |
| 35.0% | 1 | im |
| 35.0% | 1 | (exp.f64 re) |
| 37.6% | 2 | (sin.f64 im) |
| 37.8% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im)))))) |
2 calls:
| 3.0ms | (sin.f64 im) |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 2 | (sin.f64 im) |
| 37.5% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
5 calls:
| 14.0ms | (sin.f64 im) |
| 3.0ms | im |
| 3.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.8% | 2 | (sin.f64 im) |
| 32.2% | 1 | im |
| 32.2% | 1 | re |
| 32.2% | 1 | (exp.f64 re) |
| 34.9% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
2 calls:
| 3.0ms | (sin.f64 im) |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.2% | 1 | (sin.f64 im) |
| 32.2% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
5 calls:
| 2.0ms | (sin.f64 im) |
| 2.0ms | im |
| 2.0ms | re |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.4% | 2 | im |
| 32.3% | 2 | re |
| 32.3% | 2 | (exp.f64 re) |
| 32.0% | 2 | (sin.f64 im) |
| 32.4% | 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 |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
5 calls:
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (sin.f64 im) |
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.4% | 1 | (sin.f64 im) |
| 8.4% | 1 | re |
| 8.4% | 1 | (exp.f64 re) |
| 8.4% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 8.4% | 1 | im |
Compiled 21 to 15 computations (28.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 20363934628213834000.0 | +inf |
| 0.0ms | 4.1336209038686826e-100 | 9.046641922433843e-100 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
| 0.0ms | -inf | -1.6635057644957567 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 20363934628213834000.0 | +inf |
| 0.0ms | 4.1336209038686826e-100 | 9.046641922433843e-100 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
| 0.0ms | -inf | -1.6635057644957567 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 20363934628213834000.0 | +inf |
| 0.0ms | 4.1336209038686826e-100 | 9.046641922433843e-100 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
| 0.0ms | -inf | -1.6635057644957567 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 20363934628213834000.0 | +inf |
| 0.0ms | 4.465516045321142e-73 | 9.496042787293648e-72 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
| 0.0ms | -inf | -1.6635057644957567 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 20363934628213834000.0 | +inf |
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
| 0.0ms | -inf | -1.6635057644957567 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
| 0.0ms | -8.4174334488882495e-22 | 0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
| 0.0ms | -0.06712592027466949 | -8.4174334488882495e-22 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
| 0.0ms | -0.06712592027466949 | -8.4174334488882495e-22 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3120444385001386e-5 | 0.012783690743915513 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3120444385001386e-5 | 0.012783690743915513 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.9773933679189445e-294 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3120444385001386e-5 | 0.012783690743915513 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3120444385001386e-5 | 0.012783690743915513 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.9768139531081057e+93 | 1.7918603280430708e+94 |
| 7.0ms | 96× | 0 | valid |
Compiled 118 to 64 computations (45.8% saved)
ival-sin: 3.0ms (60.3% of total)ival-exp: 1.0ms (20.1% of total)ival-mult: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 60× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 14× | distribute-lft-neg-in_binary64 |
| 14× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 1596 |
| 1 | 216 | 1596 |
| 2 | 237 | 1596 |
| 3 | 252 | 1596 |
| 4 | 262 | 1596 |
| 5 | 265 | 1596 |
| 6 | 266 | 1596 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3978585891278293/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (-.f64 (*.f64 im im) (*.f64 re (*.f64 re (*.f64 im im)))) (-.f64 im (*.f64 re im))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (-.f64 (*.f64 re im) im)))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) 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)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) #s(approx (- (+ (* (* re re) 1/36) 1/4) (* re 1/12)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im 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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5316911983139663/10633823966279326983230456482242756608 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2462625387274655/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 40000000000000000000 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) im) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re (fma.f64 re (*.f64 im #s(literal 1/2 binary64)) im))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* (* im re) (+ (* re 1/6) 1/2)) im)) im) #s(approx (* (* re (* re re)) (+ (* 1/6 im) (/ (+ (* 1/2 im) (/ im re)) re))) (*.f64 re im))))) |
| 18 716× | lower-fma.f64 |
| 18 716× | lower-fma.f32 |
| 15 660× | lower-fma.f64 |
| 15 660× | lower-fma.f32 |
| 15 566× | lower-fma.f64 |
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 | 69 | 482 |
| 0 | 117 | 453 |
| 1 | 499 | 412 |
| 2 | 4304 | 412 |
| 0 | 8135 | 403 |
| 0 | 215 | 3793 |
| 1 | 683 | 3674 |
| 2 | 2132 | 3553 |
| 3 | 5053 | 3424 |
| 0 | 8624 | 3065 |
| 0 | 51 | 354 |
| 0 | 82 | 376 |
| 1 | 309 | 318 |
| 2 | 2528 | 318 |
| 0 | 8118 | 316 |
| 0 | 243 | 3046 |
| 1 | 742 | 2945 |
| 2 | 2277 | 2846 |
| 3 | 5377 | 2815 |
| 0 | 8329 | 2542 |
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1118 | 1618 |
| 3 | 3936 | 1588 |
| 4 | 7275 | 1588 |
| 0 | 8041 | 1437 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 163 to 790 computations (63.5% saved)
(negabs im)
Compiled 2 194 to 262 computations (88.1% saved)
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