
Time bar (total: 17.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 686.0ms | 8 256× | 0 | valid |
ival-sin: 211.0ms (53.1% of total)ival-mult: 92.0ms (23.1% of total)ival-exp: 85.0ms (21.4% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| 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 |
| 38.0ms | 512× | 0 | valid |
Compiled 33 to 19 computations (42.4% saved)
ival-sin: 11.0ms (42% of total)ival-exp: 8.0ms (30.6% of total)ival-mult: 7.0ms (26.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% 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)
Compiled 7 to 5 computations (28.6% saved)
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 | 0 | (exp.f64 re) | |
| accuracy | 0.00390625 | (sin.f64 im) | |
| accuracy | 0.015625 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 17.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-sin: 7.0ms (64.5% of total)ival-exp: 2.0ms (18.4% of total)ival-mult: 2.0ms (18.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ()) |
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | (* (exp re) (sin im)) |
| 1.0ms | im | @ | 0 | (* (exp re) (sin im)) |
| 0.0ms | re | @ | 0 | (* (exp re) (sin im)) |
| 0.0ms | im | @ | -inf | (* (exp re) (sin im)) |
| 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) |
| 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)) |
| ▶ | 64.2% | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| 63.4% | (*.f64 #s(approx (exp re) (fma.f64 re (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)) | |
| ▶ | 61.8% | (*.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)) |
| ▶ | 49.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 71.4% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ▶ | 49.0% | #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 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| cost-diff | 0 | #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #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 | (sin.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (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))) |
| 180× | lower-*.f32 |
| 168× | lower-*.f64 |
| 104× | lower-fma.f32 |
| 98× | lower-fma.f64 |
| 58× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 138 |
| 0 | 42 | 138 |
| 1 | 67 | 138 |
| 2 | 94 | 135 |
| 3 | 123 | 135 |
| 4 | 134 | 135 |
| 5 | 137 | 135 |
| 6 | 164 | 135 |
| 7 | 164 | 135 |
| 8 | 176 | 135 |
| 9 | 176 | 135 |
| 10 | 188 | 135 |
| 11 | 188 | 135 |
| 0 | 188 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
im |
(exp.f64 re) |
re |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.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 |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(exp.f64 re) |
re |
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
im |
(exp.f64 re) |
re |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
(*.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 |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(exp.f64 re) |
re |
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| accuracy | 0.046875 | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| accuracy | 0.171875 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 29.263991431356207 | #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| accuracy | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 im) | |
| accuracy | 0.015625 | (*.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 | 24.42205211720156 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 re #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 im) | |
| accuracy | 0.015625 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| accuracy | 32.102502567154644 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sin.f64 im) | |
| accuracy | 32.643500548563864 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.015625 | (*.f64 im (exp.f64 re)) | |
| accuracy | 18.29496350702152 | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 70.0ms | 256× | 0 | valid |
Compiled 94 to 20 computations (78.7% saved)
ival-mult: 10.0ms (32.7% of total)ival-sin: 9.0ms (29.4% of total)ival-add: 5.0ms (16.3% 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 |
|---|
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ()) |
#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ()) |
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #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)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor inf re) (#s(alt (*.f64 im (exp.f64 re)) (patch (*.f64 im (exp.f64 re)) #<representation binary64>) () ())) ()) |
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#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) (patch #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 3)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (patch (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor 0 im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | 0 | (* im (exp re)) |
| 0.0ms | im | @ | inf | (+ (* im (* -1/6 (* im im))) im) |
| 0.0ms | im | @ | 0 | (* im (exp re)) |
| 0.0ms | im | @ | 0 | (* -1/6 (* im im)) |
| 0.0ms | im | @ | inf | (* -1/6 (* im im)) |
| 1× | egg-herbie |
| 17 002× | lower-fma.f64 |
| 17 002× | lower-fma.f32 |
| 4 954× | lower-*.f64 |
| 4 954× | lower-*.f32 |
| 2 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1649 |
| 1 | 328 | 1560 |
| 2 | 858 | 1528 |
| 3 | 2728 | 1498 |
| 4 | 5685 | 1498 |
| 5 | 7317 | 1498 |
| 0 | 8135 | 1378 |
| 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)) |
(* 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 |
(* 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)) |
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))) |
(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) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* -1/6 (pow im 3)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(* -1/6 (pow im 3)) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
(* -1/6 (pow im 2)) |
| 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 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im 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)) |
(* 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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im 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)) |
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)))) |
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(*.f64 im (fma.f64 (*.f64 im 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))) |
(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 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im 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) |
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 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im 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) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(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 (*.f64 im (exp.f64 re)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (*.f64 im (fma.f64 (*.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (*.f64 im 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)) |
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)))) |
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(*.f64 im (fma.f64 (*.f64 im 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))) |
(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) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64)))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(* -1/6 (pow im 2)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
| 7 944× | lower-fma.f32 |
| 7 938× | lower-fma.f64 |
| 4 568× | lower-*.f32 |
| 4 556× | lower-*.f64 |
| 2 692× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 116 |
| 0 | 42 | 116 |
| 1 | 112 | 113 |
| 2 | 637 | 113 |
| 3 | 6265 | 113 |
| 0 | 8091 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
(exp.f64 re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.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)) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
(*.f64 (exp.f64 re) im) |
(exp.f64 re) |
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re)) |
(pow.f64 (exp.f64 re) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) re) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
(*.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(literal 1 binary64) re) |
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re))) |
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))) |
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re)))) |
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) |
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))) |
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) re)) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))))) (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64) (neg.f64 (neg.f64 im))))) |
(/.f64 (neg.f64 (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))) (neg.f64 (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) (*.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) (fma.f64 (*.f64 im im) (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) #s(literal 1 binary64)) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))) |
(/.f64 (*.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) #s(literal 1 binary64)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) |
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))) (pow.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (-.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im))))) |
(/.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im)) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) (*.f64 im (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)) im))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))) (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))))) #s(literal -1 binary64)) |
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))))) |
(*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (/.f64 (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)))) |
(*.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))))) |
(*.f64 (neg.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64) (neg.f64 (neg.f64 im))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) |
(*.f64 (*.f64 im (-.f64 im (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im)))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))))) (fma.f64 im (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64)))) (*.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 im (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 im (*.f64 im im))) (*.f64 (fma.f64 (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) (neg.f64 im)) (*.f64 im im)) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64))))))) (*.f64 im (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (+.f64 im (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (*.f64 im (fma.f64 im (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))) (neg.f64 im))) (-.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/216 binary64)))) (*.f64 im (*.f64 im im)))) (fma.f64 im (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 im im) #s(literal 1/36 binary64))))) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 im #s(literal -1/6 binary64)) im) |
Compiled 14 684 to 1 355 computations (90.8% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 17 | 667 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 651 | 23 | 674 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 26.5% | (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) | |
| ▶ | 63.4% | (*.f64 #s(approx (exp re) (fma.f64 re (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)) |
| 38.5% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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))) | |
| ✓ | 61.8% | (*.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)) |
| 37.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 37.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| ✓ | 49.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 30.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| 29.3% | (*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 71.4% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ▶ | 39.0% | #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))))) |
| 37.5% | #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))))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| ▶ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.0% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| ▶ | 33.9% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
| 37.9% | #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))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) | |
| 29.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| ▶ | 30.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
| 30.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
Compiled 625 to 344 computations (45% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 im 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)) | |
| cost-diff | 0 | (*.f64 im (fma.f64 (*.f64 im 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))) | |
| cost-diff | 0 | #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| 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 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (exp re) (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))))) | |
| cost-diff | 0 | (*.f64 im re) | |
| cost-diff | 0 | (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) | |
| cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 | (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)) |
| 2 360× | lower-fma.f32 |
| 2 344× | lower-fma.f64 |
| 948× | lower-*.f32 |
| 934× | lower-*.f64 |
| 540× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 320 |
| 0 | 61 | 320 |
| 1 | 129 | 320 |
| 2 | 309 | 317 |
| 3 | 839 | 317 |
| 4 | 1415 | 317 |
| 5 | 1600 | 317 |
| 6 | 1608 | 317 |
| 7 | 1608 | 317 |
| 8 | 1627 | 317 |
| 9 | 1627 | 317 |
| 0 | 1627 | 314 |
| 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)) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) |
(*.f64 im re) |
im |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (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 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)))) |
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 (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) |
(*.f64 im (fma.f64 (*.f64 im 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))) |
im |
(fma.f64 (*.f64 im 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)) |
(*.f64 im 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)) |
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 im #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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)) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) |
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(*.f64 im re) |
(*.f64 re im) |
im |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (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))))) |
#s(approx (* (exp re) (sin 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))) 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) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) im) |
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 (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.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))) im))) |
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) |
#s(approx (sin im) (fma.f64 im (*.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))) im)) |
(*.f64 im (fma.f64 (*.f64 im 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))) |
(fma.f64 im (*.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))) im) |
im |
(fma.f64 (*.f64 im 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)) |
(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)) |
(*.f64 im 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)) |
(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 #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 im #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) | |
| accuracy | 29.30960232482026 | #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) | |
| accuracy | 32.643500548563864 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| accuracy | 0.0625 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.29496350702152 | #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))))) | |
| accuracy | 23.341512658362326 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 im re) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) | |
| accuracy | 18.29496350702152 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) | |
| accuracy | 25.09626981865578 | #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) | |
| accuracy | 0.015625 | (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) | |
| accuracy | 18.29496350702152 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) | |
| accuracy | 32.70421892767871 | #s(approx (exp re) #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.21484375 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 23.341512658362326 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 127.0ms | 256× | 0 | valid |
Compiled 209 to 34 computations (83.7% saved)
ival-mult: 24.0ms (36.2% of total)ival-sin: 14.0ms (21.1% of total)ival-add: 12.0ms (18.1% of total)const: 12.0ms (18.1% of total)ival-exp: 3.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (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)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) (patch (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) (patch #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) (patch (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) #<representation binary64>) () ()) |
#s(alt (*.f64 im re) (patch (*.f64 im re) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (patch #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) (patch #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 im (fma.f64 (*.f64 im 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))) (patch (*.f64 im (fma.f64 (*.f64 im 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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 im 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)) (patch (fma.f64 (*.f64 im 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)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(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)))))))) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1/6 (taylor 0 im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/120 (pow im 2)) 1/6) (taylor 0 im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) (taylor 0 im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) (taylor 0 im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow im 4)) (taylor inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow im 4)) (taylor -inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) (taylor -inf im) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | 0 | (+ (* re (+ (* re 1/6) 1/2)) 1) |
| 1.0ms | im | @ | 0 | (+ (* (* im re) (+ (* re 1/2) 1)) im) |
| 0.0ms | im | @ | inf | (* im (+ (* (* im im) (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6)) 1)) |
| 0.0ms | im | @ | inf | (+ (* (* im re) (+ (* re 1/2) 1)) im) |
| 0.0ms | re | @ | -inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 1× | egg-herbie |
| 13 800× | lower-fma.f64 |
| 13 800× | lower-fma.f32 |
| 5 080× | lower-*.f64 |
| 5 080× | lower-*.f32 |
| 3 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 2557 |
| 1 | 541 | 2502 |
| 2 | 1593 | 2430 |
| 3 | 4813 | 2384 |
| 0 | 8829 | 2187 |
| 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 (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 (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* im re) |
(* 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)) |
(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) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(* -1/5040 (pow im 7)) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 7)) |
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
1 |
(+ 1 (* -1/6 (pow im 2))) |
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))) |
(* -1/5040 (pow im 6)) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 6)) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow im 2))) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(* -1/5040 (pow im 2)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* -1/5040 (pow im 2)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
-1/6 |
(- (* 1/120 (pow im 2)) 1/6) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(* -1/5040 (pow im 4)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 4)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
| 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 im (*.f64 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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 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 im (*.f64 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 im (*.f64 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 im (*.f64 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 im (*.f64 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)) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
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 (* 1/2 (* im re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(* 1/2 (* im (pow re 2))) |
(*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
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(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 re (fma.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(*.f64 re (fma.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 im re))) |
(* 1/2 (* im (pow re 2))) |
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(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
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(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(*.f64 re (fma.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 im re))) |
(* im re) |
(*.f64 im re) |
(* im re) |
(*.f64 im re) |
(* im re) |
(*.f64 im re) |
(* im re) |
(*.f64 im re) |
(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
(*.f64 im re) |
(* im re) |
(*.f64 im re) |
(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
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(* im re) |
(*.f64 im re) |
(* im re) |
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(* im re) |
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(* im re) |
(*.f64 im 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))) |
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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)) |
(* (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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(* (exp re) (sin im)) |
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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)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (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)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* 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 im (*.f64 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)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
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(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (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))))))) |
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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)) |
(* (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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(* (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))))) |
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(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (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)) |
(*.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 (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) |
(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) |
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 (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) |
(* -1/5040 (pow im 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 7 binary64))) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))) |
(* -1/5040 (pow im 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 7 binary64))) |
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) |
(*.f64 (pow.f64 im #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow im 2))) |
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))) |
(fma.f64 (*.f64 im 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)) #s(literal 1 binary64)) |
(* -1/5040 (pow im 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* -1/5040 (pow im 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 binary64))) |
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))) (pow.f64 im #s(literal 6 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)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow im 2))) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
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(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow im 2)) |
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
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(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow im 2)) 1/6) |
(fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(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)) |
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6) |
(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)) |
(* -1/5040 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* -1/5040 (pow im 4)) |
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im)))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (*.f64 im (*.f64 im (*.f64 im im))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) |
| 9 730× | lower-fma.f32 |
| 9 714× | lower-fma.f64 |
| 4 400× | lower-*.f32 |
| 4 386× | lower-*.f64 |
| 3 698× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 253 |
| 0 | 61 | 253 |
| 1 | 227 | 250 |
| 2 | 1680 | 250 |
| 0 | 8622 | 247 |
| 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)) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im)) |
(fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im) |
(*.f64 im re) |
#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 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)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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)))) |
(*.f64 im (fma.f64 (*.f64 im 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))) |
(fma.f64 (*.f64 im 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)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 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)) |
| 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 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 re re)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) re)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64)))))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (-.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/5040 binary64))))) (*.f64 (*.f64 im im) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 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))) (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 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)))) (*.f64 (/.f64 #s(literal 1/36 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))) (/.f64 #s(literal 1/36 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))))) (+.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 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))) (/.f64 #s(literal 1/36 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))))) |
(pow.f64 (/.f64 #s(literal 1 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))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 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))) |
(*.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)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 im (*.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))) |
(*.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 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)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
Compiled 27 491 to 1 839 computations (93.3% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 933 | 24 | 957 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 938 | 42 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 26.5% | (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) | |
| ✓ | 63.4% | (*.f64 #s(approx (exp re) (fma.f64 re (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)) |
| 38.5% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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))) | |
| ✓ | 61.8% | (*.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)) |
| 37.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 37.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| ▶ | 63.4% | (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) |
| ✓ | 49.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 30.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| ✓ | 71.4% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 32.4% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))) | |
| 31.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #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)))))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) | |
| ▶ | 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
| 16.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) | |
| ✓ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.0% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 37.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im))) | |
| ✓ | 33.9% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
| 37.9% | #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))) | |
| 38.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im))) | |
| ▶ | 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
| ▶ | 33.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
| 15.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) | |
| 15.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) | |
| 15.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) | |
| 30.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) | |
| 29.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 29.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 30.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) | |
| 30.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
Compiled 1 531 to 791 computations (48.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) | |
| cost-diff | 704 | (/.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))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) | |
| cost-diff | 0 | #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 0 | #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)))))) | |
| cost-diff | 0 | (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) | |
| cost-diff | 0 | (fma.f64 im re im) | |
| cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 im re im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) | |
| cost-diff | 128 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
| 7 086× | lower-fma.f32 |
| 7 074× | lower-fma.f64 |
| 2 534× | lower-*.f32 |
| 2 514× | lower-*.f64 |
| 1 022× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 500 |
| 0 | 82 | 488 |
| 1 | 160 | 483 |
| 2 | 303 | 476 |
| 3 | 818 | 476 |
| 4 | 1598 | 476 |
| 5 | 2437 | 476 |
| 6 | 4940 | 476 |
| 7 | 6752 | 476 |
| 0 | 8119 | 445 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* im (exp re)) (fma.f64 im re im)) |
(fma.f64 im re im) |
im |
re |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
im |
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* 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))))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
re |
(*.f64 re (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)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) |
re |
(*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
im |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
im |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (/.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))))) #s(literal 1 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))))) |
#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 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 re #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (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)) |
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(sin.f64 im) |
im |
#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 (* im (exp re)) (fma.f64 im re im)) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 im re im) |
(fma.f64 re im im) |
im |
re |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
#s(approx (* (exp re) (sin im)) (*.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)))))) |
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.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))))) |
im |
#s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
#s(approx (exp re) #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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
#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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
re |
(*.f64 re (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)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) |
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
re |
(*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) |
im |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
im |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (/.f64 #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))))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.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 (/.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))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 re (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.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 re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(/.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 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 re #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) |
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 1/36 binary64) (*.f64 re re)) |
(*.f64 (*.f64 re re) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 re re) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.37890625 | (*.f64 re #s(literal 1/6 binary64)) | |
| accuracy | 14.689746348373202 | (/.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)))) | |
| accuracy | 18.047668939429897 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 23.34151265836227 | #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.15625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) | |
| accuracy | 0.6972292570819627 | (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) | |
| accuracy | 18.047668939429897 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) | |
| accuracy | 25.09626981865578 | #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) | |
| accuracy | 0.21484375 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.047668939429897 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) | |
| accuracy | 23.34151265836227 | #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)))))) | |
| accuracy | 29.494574316315763 | #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))))) | |
| accuracy | 0 | (fma.f64 im re im) | |
| accuracy | 18.047668939429897 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) | |
| accuracy | 28.501041185621755 | #s(approx (* im (exp re)) (fma.f64 im re im)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) | |
| accuracy | 0.09375 | (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) | |
| accuracy | 0.21484375 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 23.34151265836227 | #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) |
| 216.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 297 to 42 computations (85.9% saved)
ival-sin: 77.0ms (40.7% of total)ival-add: 65.0ms (34.4% of total)ival-mult: 27.0ms (14.3% of total)const: 7.0ms (3.7% of total)ival-div: 6.0ms (3.2% of total)ival-exp: 5.0ms (2.6% of total)ival-sub: 2.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (patch #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* im (exp re)) (fma.f64 im re im)) (patch #s(approx (* im (exp re)) (fma.f64 im re im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 im re im) (patch (fma.f64 im re im) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (patch (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
#s(alt #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)))))) (patch #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)))))) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) (patch #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (patch (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (patch (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow re 2))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) #<representation binary64>) () ())) ()) |
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#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2/3 re)) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* re (- (* 2/9 re) 2/3))) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3))) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 6 re) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 6 (* 18 (/ 1 re))) re) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 6 re) (taylor -inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* 18 (/ 1 re)) 6) re)) (taylor -inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re)) (taylor -inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re)) (taylor -inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor 0 re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor 0 re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor 0 re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor 0 re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 re) (taylor -inf re) (#s(alt (*.f64 re #s(literal 1/6 binary64)) (patch (*.f64 re #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | re | @ | -inf | (* (+ (* re 1/6) 1/2) (* re re)) |
| 2.0ms | re | @ | -inf | (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) |
| 1.0ms | re | @ | inf | (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) |
| 0.0ms | im | @ | 0 | (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) |
| 0.0ms | im | @ | -inf | (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) |
| 1× | egg-herbie |
| 8 420× | lower-fma.f64 |
| 8 420× | lower-fma.f32 |
| 3 960× | lower-*.f64 |
| 3 960× | lower-*.f32 |
| 2 330× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 2993 |
| 1 | 827 | 2929 |
| 2 | 2232 | 2882 |
| 3 | 5321 | 2867 |
| 0 | 8269 | 2610 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
1 |
(+ 1 (* 1/2 (pow re 2))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(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)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
im |
(+ 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))))) |
(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) |
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))) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2))))) |
(* 1/2 (* im (pow re 2))) |
(* (pow re 2) (+ (* 1/2 im) (/ im re))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* im (+ 1 (* re (+ 1 (* 1/2 re))))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(* -1 (* im (- (* -1 (* re (+ 1 (* 1/2 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)) |
(/ 1 im) |
(+ (* -1 (/ re im)) (/ 1 im)) |
(+ (* re (- (* 1/2 (/ re im)) (/ 1 im))) (/ 1 im)) |
(+ (* re (- (* re (+ (* -1/4 (/ (pow re 2) im)) (* 1/2 (/ 1 im)))) (/ 1 im))) (/ 1 im)) |
(/ 2 (* im (pow re 2))) |
(/ (- (* 2 (/ 1 im)) (* 4 (/ 1 (* im re)))) (pow re 2)) |
(/ (- (+ (* 2 (/ 1 im)) (/ 4 (* im (pow re 2)))) (/ 4 (* im re))) (pow re 2)) |
(/ (- (+ (* 2 (/ 1 im)) (* 4 (/ 1 (* im (pow re 2))))) (+ (* 8 (/ 1 (* im (pow re 4)))) (/ 4 (* im re)))) (pow re 2)) |
(/ 2 (* im (pow re 2))) |
(/ (- (* 2 (/ 1 im)) (* 4 (/ 1 (* im re)))) (pow re 2)) |
(/ (+ (* -1 (/ (- (* 4 (/ 1 im)) (* 4 (/ 1 (* im re)))) re)) (* 2 (/ 1 im))) (pow re 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 im)) (* 8 (/ 1 (* im (pow re 2))))) re)) (* 4 (/ 1 im))) re)) (* 2 (/ 1 im))) (pow re 2)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 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)))) |
1/2 |
(+ 1/2 (* -1/6 re)) |
(+ 1/2 (* -1/6 re)) |
(+ 1/2 (* -1/6 re)) |
(* -1/6 re) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(* -1/6 re) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
1/4 |
(+ 1/4 (* -1/36 (pow re 2))) |
(+ 1/4 (* -1/36 (pow re 2))) |
(+ 1/4 (* -1/36 (pow re 2))) |
(* -1/36 (pow re 2)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* -1/36 (pow re 2)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(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)) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
1 |
(+ 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) |
2 |
(+ 2 (* -2/3 re)) |
(+ 2 (* re (- (* 2/9 re) 2/3))) |
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3))) |
(/ 6 re) |
(/ (- 6 (* 18 (/ 1 re))) re) |
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re) |
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re) |
(/ 6 re) |
(* -1 (/ (- (* 18 (/ 1 re)) 6) re)) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 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) |
(* 1/6 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 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(*.f64 re (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re re) #s(literal 1 binary64))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 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 -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow re 2))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 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 3))))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re))) |
(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 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 im (exp.f64 re))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 im (*.f64 (exp.f64 re) (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/120 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 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #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 #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) |
(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 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 im (exp.f64 re))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 im (*.f64 (exp.f64 re) (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/120 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 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #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 |
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1 |
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(exp.f64 re) |
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(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
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(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
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im |
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(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ 1 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(/ -1 (* im (- (* -1 (* re (+ 1 (* 1/2 re)))) 1))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -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 (- (* 1/2 (/ 1 re)) 1/6)) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* re (- (* 1/2 (/ 1 re)) 1/6)) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1/6 re) |
(*.f64 re #s(literal -1/6 binary64)) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re))))) |
(fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/36 (pow re 2))) |
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1/36 (pow re 2))) |
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1/36 (pow re 2))) |
(fma.f64 re (*.f64 re #s(literal -1/36 binary64)) #s(literal 1/4 binary64)) |
(* -1/36 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/36 binary64)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(* -1/36 (pow re 2)) |
(*.f64 (*.f64 re re) #s(literal -1/36 binary64)) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36)) |
(*.f64 (*.f64 re re) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.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 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 im (exp.f64 re))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 im (*.f64 (exp.f64 re) (+.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/120 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 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 re)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 re) |
(*.f64 re #s(literal 1/6 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 2) (+ 1/2 (* 1/6 re))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.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)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 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)))) |
(*.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)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2/3 re)) |
(fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64)) |
(+ 2 (* re (- (* 2/9 re) 2/3))) |
(fma.f64 re (fma.f64 re #s(literal 2/9 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)) |
(/ 6 re) |
(/.f64 #s(literal 6 binary64) re) |
(/ (- 6 (* 18 (/ 1 re))) re) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re) |
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) re) |
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re) |
(/.f64 (+.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) (/.f64 #s(literal -162 binary64) (*.f64 re (*.f64 re re)))) re) |
(/ 6 re) |
(/.f64 #s(literal 6 binary64) re) |
(* -1 (/ (- (* 18 (/ 1 re)) 6) re)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re) |
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re)) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re)) re) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 162 binary64) re) #s(literal -54 binary64)) re)) re)) re) |
(* 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)) |
| 5 156× | lower-fma.f32 |
| 5 144× | lower-fma.f64 |
| 4 378× | lower-*.f32 |
| 4 358× | lower-*.f64 |
| 4 226× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 363 |
| 0 | 82 | 352 |
| 1 | 321 | 297 |
| 2 | 2466 | 297 |
| 0 | 8706 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) |
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* im (exp re)) (fma.f64 im re im)) |
(fma.f64 im re im) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (exp re) #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 (+ (* 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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im)) |
(/.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 #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))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #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 re #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) |
(+.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) re)) |
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(*.f64 (/.f64 (/.f64 (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 binary64)) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re 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 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 re #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) re) |
Compiled 35 033 to 3 992 computations (88.6% saved)
59 alts after pruning (50 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 229 | 31 | 1 260 |
| Fresh | 10 | 19 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 243 | 59 | 1 302 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 63.4% | (*.f64 #s(approx (exp re) (fma.f64 re (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)) |
| 38.5% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 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))) | |
| ✓ | 61.8% | (*.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)) |
| 37.3% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 37.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| 63.4% | (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) | |
| ✓ | 49.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 30.6% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 30.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) | |
| ✓ | 71.4% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 32.4% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 30.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 39.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 38.9% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 38.9% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) | |
| 30.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))) | |
| 31.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #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)))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) | |
| 22.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) | |
| ✓ | 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
| 6.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) | |
| 6.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) | |
| 16.5% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) | |
| 10.4% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) | |
| 16.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) | |
| 15.0% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)))))))) | |
| 16.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) | |
| 16.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) | |
| ✓ | 26.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.0% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 37.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im))) | |
| 37.9% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) | |
| 38.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im))) | |
| ✓ | 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
| 14.6% | #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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) | |
| 21.7% | #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))))) | |
| 18.7% | #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)))) | |
| 45.9% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) | |
| 40.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) | |
| 14.8% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) | |
| 11.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re im))))))) | |
| 26.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) | |
| 31.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) | |
| 11.1% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) | |
| 29.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im))) | |
| 14.2% | #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)))))))) | |
| 18.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) | |
| 11.4% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im))))) | |
| 11.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) | |
| 6.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))) | |
| 30.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) | |
| 29.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 29.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 30.3% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
Compiled 2 561 to 913 computations (64.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
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#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
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#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
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(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
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(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 88.0ms | re |
| 47.0ms | (sin.f64 im) |
| 41.0ms | im |
| 30.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 17.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (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)) |
(*.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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) |
(*.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) (fma.f64 re (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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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))) |
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
5 calls:
| 83.0ms | (sin.f64 im) |
| 75.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 44.0ms | re |
| 21.0ms | im |
| 17.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 4 | re |
| 83.9% | 2 | im |
| 99.8% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 94.3% | 3 | (exp.f64 re) |
| 85.1% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (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)) |
(*.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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) |
(*.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) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (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))) |
1 calls:
| 43.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (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)) |
(*.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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 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))) |
(*.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:
| 18.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (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)) |
(*.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)) |
| 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) (*.f64 im (fma.f64 (*.f64 im 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))))) |
(*.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) (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 |
|---|---|---|
| 99.4% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (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)) |
| 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) (*.f64 im (fma.f64 (*.f64 im 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))))) |
(*.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:
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 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) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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))) |
1 calls:
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
5 calls:
| 65.0ms | re |
| 65.0ms | (exp.f64 re) |
| 59.0ms | im |
| 41.0ms | (sin.f64 im) |
| 17.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 4 | (sin.f64 im) |
| 63.1% | 3 | im |
| 81.6% | 3 | (exp.f64 re) |
| 85.8% | 4 | re |
| 86.9% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (fma.f64 re (*.f64 re (*.f64 im im)) (*.f64 im (-.f64 im (*.f64 re im))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))))) |
#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)))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
3 calls:
| 86.0ms | re |
| 81.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 15.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 2 | (exp.f64 re) |
| 64.5% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 63.2% | 3 | re |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.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))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re 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)) (*.f64 re #s(literal 1/12 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 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 im #s(approx (exp re) (fma.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) (-.f64 #s(literal 1 binary64) (*.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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 (*.f64 re (*.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 re re))) (/.f64 #s(literal -1 binary64) re)) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/1296 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)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 re im)) (+.f64 (/.f64 #s(literal 4 binary64) re) #s(literal -4 binary64)) (/.f64 #s(literal 2 binary64) im)) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (*.f64 re re) (*.f64 #s(literal -1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 im)))))) |
#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))))) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
5 calls:
| 83.0ms | re |
| 78.0ms | im |
| 17.0ms | (sin.f64 im) |
| 16.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 14.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 2 | (exp.f64 re) |
| 48.6% | 3 | (sin.f64 im) |
| 45.2% | 3 | im |
| 58.0% | 3 | re |
| 59.3% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 im (/.f64 #s(literal 1 binary64) (fma.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))) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 65.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re im))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (* re 1/6)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) 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:
| 12.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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)) #s(approx (* im (exp re)) (*.f64 (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re im) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))))) |
| 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))))) |
3 calls:
| 30.0ms | (exp.f64 re) |
| 12.0ms | re |
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 2 | (exp.f64 re) |
| 47.4% | 3 | re |
| 50.5% | 3 | (*.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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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))) #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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) 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:
| 10.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) |
#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)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 im (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 #s(literal 6 binary64) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) 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:
| 9.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) |
#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:
| 68.0ms | (sin.f64 im) |
| 9.0ms | re |
| 8.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 7.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.0% | 1 | (exp.f64 re) |
| 39.0% | 1 | re |
| 44.1% | 2 | (sin.f64 im) |
| 44.4% | 2 | (*.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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 2 binary64) (*.f64 re (*.f64 re 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 im (*.f64 im #s(literal -1/6 binary64))) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #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)) (*.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:
| 8.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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:
| 63.0ms | (sin.f64 im) |
| 8.0ms | im |
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.0% | 1 | im |
| 43.0% | 2 | (sin.f64 im) |
| 43.3% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 binary64))))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
(*.f64 #s(approx (exp 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)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (/.f64 #s(literal 1 binary64) im))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 im (*.f64 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 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 re (fma.f64 (*.f64 re im) (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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) |
1 calls:
| 7.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.0% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) (*.f64 re #s(literal 1/6 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))))) |
2 calls:
| 56.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 2 | (sin.f64 im) |
| 42.8% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 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)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im))) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (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)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.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 (*.f64 im re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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 (* im (exp re)) #s(approx (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (/ 1 (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im))) (*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))) |
5 calls:
| 53.0ms | im |
| 3.0ms | (sin.f64 im) |
| 3.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 2 | re |
| 31.0% | 2 | im |
| 37.6% | 2 | (exp.f64 re) |
| 30.8% | 2 | (sin.f64 im) |
| 37.6% | 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 (+ (* im re) im) (*.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)) (+.f64 (*.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))) |
5 calls:
| 2.0ms | (sin.f64 im) |
| 2.0ms | re |
| 2.0ms | im |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.0% | 1 | (sin.f64 im) |
| 29.0% | 1 | im |
| 29.0% | 1 | re |
| 29.0% | 1 | (exp.f64 re) |
| 29.0% | 1 | (*.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 (+ (* im re) im) (*.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 (+ (* im re) im) (*.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 |
|---|---|---|
| 29.1% | 2 | im |
| 28.7% | 2 | (sin.f64 im) |
| 29.0% | 2 | re |
| 29.0% | 2 | (exp.f64 re) |
| 29.0% | 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 (+ (* im re) im) (*.f64 re im)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))) |
5 calls:
| 1.0ms | (sin.f64 im) |
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.6% | 1 | (sin.f64 im) |
| 6.6% | 1 | re |
| 6.6% | 1 | (exp.f64 re) |
| 6.6% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 6.6% | 1 | im |
Compiled 21 to 15 computations (28.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 6.660012679986446e-260 | 6.502492614474271e-257 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 6.660012679986446e-260 | 6.502492614474271e-257 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 6.660012679986446e-260 | 6.502492614474271e-257 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 6.660012679986446e-260 | 6.502492614474271e-257 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 6.660012679986446e-260 | 6.502492614474271e-257 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9990657095919793 | +inf |
| 0.0ms | 5.398580118730497e-71 | 8.190763958989877e-71 |
| 0.0ms | -0.03873587485889432 | -0.0 |
| 0.0ms | -inf | -0.999958111166958 |
Compiled 10 to 10 computations (0% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.61522796553907e+102 | 1.0249358012526661e+121 |
| 16.0ms | 8.742440216254482e-16 | 8.652255047533076e-7 |
| 11.0ms | -9.056949024841857e+22 | -5.399711518472846e+20 |
| 24.0ms | 352× | 0 | valid |
Compiled 976 to 474 computations (51.4% saved)
ival-sin: 11.0ms (67.4% of total)ival-exp: 3.0ms (18.4% of total)ival-mult: 2.0ms (12.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1107273009537413e-290 | 2.1447309888561363e-276 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1107273009537413e-290 | 2.1447309888561363e-276 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1107273009537413e-290 | 2.1447309888561363e-276 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1107273009537413e-290 | 2.1447309888561363e-276 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
| 0.0ms | -0.03873587485889432 | -0.0 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9277664459393773e-8 | 0.03340998450127194 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9277664459393773e-8 | 0.03340998450127194 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.831112776245267e-304 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9277664459393773e-8 | 0.03340998450127194 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.27928540465583945 | 0.3766152432612425 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.8103844036942972e+61 | 1.0266917118580993e+62 |
| 27.0ms | 96× | 0 | valid |
Compiled 112 to 64 computations (42.9% saved)
ival-sin: 3.0ms (61.1% of total)ival-exp: 1.0ms (20.4% of total)ival-mult: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 96× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 2018 |
| 1 | 309 | 2018 |
| 2 | 332 | 2018 |
| 3 | 349 | 2018 |
| 4 | 361 | 2018 |
| 5 | 365 | 2018 |
| 6 | 366 | 2018 |
| 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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #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) #s(literal 1 binary64)) re)) (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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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 944473296573929/18889465931478580854784 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5404319552844595/18014398509481984 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 18500000000000000134097772525339259832541909790869438639112192 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 (+ (* im re) im) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #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) #s(literal 1 binary64)) re)) (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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) #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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 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 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #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) (sin im)) (*.f64 im (exp.f64 re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 im (*.f64 im #s(literal -1/6 binary64))))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 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)))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #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) (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 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)))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 432778879906337/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))) |
(if (<=.f64 re #s(literal -550000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) (if (<=.f64 re #s(literal 7737125245533627/4835703278458516698824704 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #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 (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (fma.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 re im) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 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) (*.f64 im (fma.f64 (*.f64 im 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* re 1/6)) (- 1/4 (* 1/36 (* re re)))) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re))) #s(literal 1 binary64)) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 3511119404027961/175555970201398037864189960037990696642380564349834626243584063630598316216309534309285622385163609395625111210811907575838661883607828732903171318983861449587663958422720200465138886329341888788528401320395513446131006525725061407689368272012526598792334483090416306874948482361796597953940777665648656384 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (fma.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) 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 -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) 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 -5764607523034235/288230376151711744 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 im (*.f64 im #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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* re (* im (+ (* re 1/2) 1))) im)) (-.f64 (/.f64 #s(literal 1 binary64) 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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/5040 binary64))))) #s(literal 1 binary64))))) #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 im (*.f64 im #s(literal -1/6 binary64))) 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 944473296573929/18889465931478580854784 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) #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))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))) |
(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 (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) im im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/18889465931478580854784 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5404319552844595/18014398509481984 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 (+ (* (* im re) (+ (* re 1/2) 1)) im) (*.f64 im (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 18500000000000000134097772525339259832541909790869438639112192 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 (+ (* im re) im) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* im re) im) (*.f64 re im)))) |
| 17 002× | lower-fma.f64 |
| 17 002× | lower-fma.f32 |
| 15 566× | lower-fma.f64 |
| 15 566× | lower-fma.f32 |
| 13 800× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 2993 |
| 1 | 827 | 2929 |
| 2 | 2232 | 2882 |
| 3 | 5321 | 2867 |
| 0 | 8269 | 2610 |
| 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 | 177 | 2557 |
| 1 | 541 | 2502 |
| 2 | 1593 | 2430 |
| 3 | 4813 | 2384 |
| 0 | 8829 | 2187 |
| 0 | 52 | 363 |
| 0 | 82 | 352 |
| 1 | 321 | 297 |
| 2 | 2466 | 297 |
| 0 | 8706 | 294 |
| 0 | 36 | 253 |
| 0 | 61 | 253 |
| 1 | 227 | 250 |
| 2 | 1680 | 250 |
| 0 | 8622 | 247 |
| 0 | 106 | 1649 |
| 1 | 328 | 1560 |
| 2 | 858 | 1528 |
| 3 | 2728 | 1498 |
| 4 | 5685 | 1498 |
| 5 | 7317 | 1498 |
| 0 | 8135 | 1378 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 480 to 911 computations (63.3% saved)
(negabs im)
Compiled 2 750 to 362 computations (86.8% saved)
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