
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 779.0ms | 8 256× | 0 | valid |
ival-sin: 379.0ms (70.9% of total)ival-exp: 82.0ms (15.3% of total)ival-mult: 63.0ms (11.8% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 3.0ms (0.6% 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 |
| 36.0ms | 512× | 0 | valid |
Compiled 33 to 19 computations (42.4% saved)
ival-sin: 16.0ms (68.3% of total)ival-exp: 4.0ms (17.1% of total)ival-mult: 3.0ms (12.8% 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 | (sin.f64 im) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.0234375 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 19.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-sin: 8.0ms (65.9% of total)ival-exp: 2.0ms (16.5% of total)ival-mult: 2.0ms (16.5% 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)) |
| 0.0ms | 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)) |
| 64.5% | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ▶ | 70.2% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 50.3% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 68.8% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ▶ | 49.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
Compiled 135 to 83 computations (38.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) | |
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | (+.f64 re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| cost-diff | 0 | (exp.f64 re) | |
| cost-diff | 0 | (*.f64 im (exp.f64 re)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) | |
| cost-diff | 0 | (sin.f64 im) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 448× | lower-fma.f32 |
| 438× | lower-fma.f64 |
| 182× | lower-*.f32 |
| 174× | lower-*.f64 |
| 128× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 149 |
| 0 | 43 | 149 |
| 1 | 76 | 149 |
| 2 | 121 | 149 |
| 3 | 209 | 149 |
| 4 | 266 | 149 |
| 5 | 301 | 149 |
| 0 | 301 | 149 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
im |
(exp.f64 re) |
re |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) |
(*.f64 im (exp.f64 re)) |
(*.f64 (exp.f64 re) im) |
im |
(exp.f64 re) |
re |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 0.0234375 | (*.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 | 21.09513040603943 | #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 | (sin.f64 im) | |
| accuracy | 0.0234375 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) | |
| accuracy | 31.47170873740521 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0 | (exp.f64 re) | |
| accuracy | 0.0234375 | (*.f64 im (exp.f64 re)) | |
| accuracy | 19.717966789376266 | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) | |
| accuracy | 0 | (sin.f64 im) | |
| accuracy | 32.11430916682722 | #s(approx (* (exp re) (sin im)) (sin.f64 im)) | |
| accuracy | 0.04296875 | (fma.f64 re (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 | 0.04296875 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 50.0ms | 255× | 0 | valid |
| 5.0ms | 1× | 5 | exit |
Compiled 106 to 22 computations (79.2% saved)
ival-mult: 12.0ms (31.9% of total)ival-sin: 8.0ms (21.3% of total)ival-add: 7.0ms (18.6% of total)adjust: 5.0ms (13.3% of total)const: 4.0ms (10.6% of total)ival-exp: 2.0ms (5.3% 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 #s(approx (exp re) (fma.f64 re (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)) (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 #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 (*.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 (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>) () ()) |
| 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>) () ())) ()) |
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#s(alt (exp re) (taylor inf re) (#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 (exp re) (taylor inf re) (#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 (exp re) (taylor -inf re) (#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 (exp re) (taylor -inf re) (#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 (exp re) (taylor -inf re) (#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 (exp re) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 re) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (* 1/2 (pow re 2)) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* 1/2 (pow re 2)) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (* 1/2 re) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* 1/2 re) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 1/2 (taylor 0 re) (#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 (+ 1/2 (* 1/6 re)) (taylor 0 re) (#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 (+ 1/2 (* 1/6 re)) (taylor 0 re) (#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 (+ 1/2 (* 1/6 re)) (taylor 0 re) (#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 (* 1/6 re) (taylor inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#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 (* 1/6 re) (taylor -inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#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 (* re (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#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>) () ())) ()) |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 1.0ms | re | @ | -inf | (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) |
| 0.0ms | im | @ | 0 | (* im (exp re)) |
| 0.0ms | im | @ | inf | (* im (exp re)) |
| 0.0ms | re | @ | -inf | (* im (exp re)) |
| 1× | egg-herbie |
| 18 716× | lower-fma.f64 |
| 18 716× | lower-fma.f32 |
| 5 338× | lower-*.f64 |
| 5 338× | lower-*.f32 |
| 2 524× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1118 | 1618 |
| 3 | 3936 | 1588 |
| 4 | 7275 | 1588 |
| 0 | 8041 | 1437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* 1/6 (pow re 2)) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 re) |
(+ 1 re) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
re |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(* re (+ 1 (/ 1 re))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
1/2 |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(+ 1/2 (* 1/6 re)) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* 1/6 re) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
(* re (+ 1/6 (* 1/2 (/ 1 re)))) |
| Outputs |
|---|
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 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) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 re #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 re #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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 (exp.f64 re) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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)) |
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)) |
| 8 742× | lower-fma.f32 |
| 8 732× | lower-fma.f64 |
| 5 096× | lower-*.f32 |
| 5 088× | lower-*.f64 |
| 3 950× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 128 |
| 0 | 43 | 128 |
| 1 | 142 | 128 |
| 2 | 981 | 128 |
| 0 | 8319 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
(sin.f64 im) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 im (exp.f64 re)) |
(exp.f64 re) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64)) |
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re) |
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re) |
(-.f64 (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.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 (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) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) |
(fma.f64 re #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(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 (+.f64 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 (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 #s(literal 1/6 binary64)) (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #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 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) re))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 re re) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.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 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
(fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(fma.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 re) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 re (*.f64 #s(literal 1/36 binary64) re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 re (*.f64 #s(literal 1/36 binary64) re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
Compiled 14 735 to 1 590 computations (89.2% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 683 | 13 | 696 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 683 | 20 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 64.5% | (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ▶ | 70.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| ✓ | 70.2% | (*.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)) |
| 45.0% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) | |
| 44.6% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 43.3% | (*.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 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| ✓ | 50.3% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 35.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 68.8% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| ▶ | 42.6% | #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))))) |
| 32.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| ▶ | 28.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 40.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) | |
| 40.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) | |
| 32.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) | |
| 32.8% | #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))) | |
| ▶ | 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
Compiled 499 to 276 computations (44.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 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 #s(literal -1/6 binary64) (*.f64 im im)) | |
| 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 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| cost-diff | 0 | #s(approx (exp re) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| cost-diff | 128 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
| 480× | lower-fma.f32 |
| 466× | lower-fma.f64 |
| 280× | lower-*.f32 |
| 266× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 279 |
| 0 | 57 | 281 |
| 1 | 103 | 276 |
| 2 | 172 | 270 |
| 3 | 304 | 270 |
| 4 | 369 | 270 |
| 5 | 386 | 270 |
| 6 | 420 | 270 |
| 7 | 420 | 270 |
| 8 | 426 | 270 |
| 9 | 426 | 270 |
| 10 | 432 | 270 |
| 11 | 432 | 270 |
| 0 | 432 | 264 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
(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 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
im |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (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) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 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 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) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (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 |
|---|
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
re |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 re re) |
(+.f64 re #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sin.f64 im) |
im |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
(*.f64 im #s(approx (exp re) #s(literal 1 binary64))) |
im |
#s(approx (exp re) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (exp re) (sin im)) #s(approx (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) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 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))))) |
#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) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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) |
#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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| accuracy | 0.1875 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 21.09513040603943 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 30.549150352466246 | #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| accuracy | 0.04296875 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 re (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 | 19.717966789376266 | #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 | 0.06640625 | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| accuracy | 0.1875 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 30.549150352466246 | #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| accuracy | 32.11430916682722 | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| accuracy | 0.0234375 | (*.f64 im #s(approx (exp re) #s(literal 1 binary64))) | |
| accuracy | 19.717966789376266 | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) | |
| accuracy | 32.217806917745946 | #s(approx (exp re) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
| 72.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 167 to 30 computations (82% saved)
ival-mult: 27.0ms (51.6% of total)ival-add: 9.0ms (17.2% of total)const: 7.0ms (13.4% of total)ival-sin: 6.0ms (11.5% of total)ival-exp: 2.0ms (3.8% 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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) #<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 #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 (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch #s(approx (* (exp re) (sin im)) #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>) () ()) |
#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) (fma.f64 re (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 (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (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))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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 (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>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<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 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (* 1/2 re) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#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 (* 1/2 re) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#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 1 (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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 (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#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 (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#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 (* 1/6 (pow re 2)) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#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 (* 1/6 (pow re 2)) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#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 (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor -inf re) (#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>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | (+ (* im (* -1/6 (* im im))) im) |
| 0.0ms | im | @ | inf | (+ (* im (* -1/6 (* im im))) im) |
| 0.0ms | im | @ | inf | (* -1/6 (* im im)) |
| 0.0ms | im | @ | 0 | (* -1/6 (* im im)) |
| 0.0ms | im | @ | -inf | (+ (* im (* -1/6 (* im im))) im) |
| 1× | egg-herbie |
| 19 824× | lower-fma.f64 |
| 19 824× | lower-fma.f32 |
| 5 636× | lower-*.f64 |
| 5 636× | lower-*.f32 |
| 2 518× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 2073 |
| 1 | 420 | 1986 |
| 2 | 1189 | 1936 |
| 3 | 4228 | 1906 |
| 4 | 7882 | 1906 |
| 0 | 8047 | 1723 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(* 1/6 (pow re 3)) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
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)))) |
(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) |
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)) |
(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))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
(exp re) |
1 |
(+ 1 re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* 1/2 (pow re 2)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
1 |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(+ 1 (* 1/2 re)) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* 1/2 re) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
(* re (+ 1/2 (/ 1 re))) |
1 |
(+ 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))))) |
| 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)) |
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im |
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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)) |
(*.f64 (sin.f64 im) (exp.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 re im im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 #s(literal 1 binary64) re)) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(*.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 (*.f64 im im) (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(*.f64 im (*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 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 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
(exp re) |
(exp.f64 re) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 #s(literal 1 binary64) re) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1 (* 1/2 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| 7 976× | lower-fma.f32 |
| 7 962× | lower-fma.f64 |
| 3 914× | lower-*.f32 |
| 3 900× | lower-*.f64 |
| 3 736× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 218 |
| 0 | 57 | 220 |
| 1 | 194 | 211 |
| 2 | 1388 | 211 |
| 0 | 8214 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
#s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) |
(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(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 (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)) |
#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) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) |
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64)) |
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (neg.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) |
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re) |
(-.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re)) (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re))) |
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))) |
(-.f64 (/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(fma.f64 re #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
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(fma.f64 (fma.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.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 re #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
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(/.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 re) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (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)))))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re (fma.f64 re #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)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (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))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 re) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))))) (fma.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 (*.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)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.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 3 binary64))) (fma.f64 (/.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.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))) (/.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))) (*.f64 (/.f64 (*.f64 (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))))) (fma.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))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (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))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.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))) (/.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))))) (+.f64 (/.f64 (*.f64 (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))))) (fma.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))))) |
(pow.f64 (/.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) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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))))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 re) #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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
Compiled 28 802 to 1 840 computations (93.6% saved)
36 alts after pruning (28 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 972 | 21 | 993 |
| Fresh | 2 | 7 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 977 | 36 | 1 013 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 70.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| ✓ | 70.2% | (*.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)) |
| ▶ | 45.0% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
| 44.6% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 13.4% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
| 28.8% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.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)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 50.3% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| ▶ | 35.0% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| 18.5% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| 18.5% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| ✓ | 68.8% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))))) | |
| 32.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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))))) | |
| 44.1% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) | |
| 32.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 32.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) | |
| 32.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| 18.0% | #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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) | |
| 17.9% | #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)))))))) | |
| 17.9% | #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 re #s(literal 1/6 binary64)))))))) | |
| ✓ | 28.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 41.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) | |
| 40.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) | |
| ▶ | 37.7% | #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))) |
| ▶ | 32.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| 40.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) | |
| 32.8% | #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))) | |
| 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im))) | |
| 32.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) | |
| 14.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
Compiled 1 209 to 623 computations (48.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 | (+.f64 re #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) | |
| cost-diff | 0 | (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) | |
| cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (fma.f64 re im im) | |
| cost-diff | 0 | #s(approx (* im (exp re)) (fma.f64 re im im)) | |
| cost-diff | 0 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
| 2 360× | lower-fma.f32 |
| 2 336× | lower-fma.f64 |
| 928× | lower-*.f32 |
| 910× | lower-*.f64 |
| 456× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 401 |
| 0 | 82 | 401 |
| 1 | 161 | 401 |
| 2 | 333 | 384 |
| 3 | 676 | 384 |
| 4 | 1051 | 384 |
| 5 | 1308 | 384 |
| 6 | 1432 | 384 |
| 7 | 1432 | 384 |
| 8 | 1432 | 384 |
| 9 | 1441 | 384 |
| 10 | 1441 | 384 |
| 0 | 1441 | 375 |
| 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))) #s(approx (sin im) (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))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)) |
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im) |
(*.f64 im im) |
im |
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 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 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
re |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) |
(*.f64 #s(literal 1/2 binary64) im) |
#s(literal 1/2 binary64) |
im |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#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) |
(*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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) |
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) |
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (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))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
re |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im)) |
#s(approx (sin im) (fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) |
(fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im) |
(fma.f64 (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im) |
(*.f64 im im) |
im |
(*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 im (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 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(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
re |
im |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
re |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) |
(*.f64 #s(literal 1/2 binary64) im) |
#s(literal 1/2 binary64) |
im |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
re |
#s(literal 1 binary64) |
#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 (*.f64 im im) #s(literal -1/6 binary64)) im)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im 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) |
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) |
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im))))) |
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) |
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)))) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im))) |
im |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 im im) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 21.09513040603943 | #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 30.54915035246625 | #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) | |
| accuracy | 31.197384978804592 | #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) | |
| accuracy | 0.06640625 | (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) | |
| accuracy | 0.1875 | (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) | |
| accuracy | 30.54915035246625 | #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) | |
| accuracy | 31.47170873740521 | #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) im) | |
| accuracy | 0.05859375 | (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) | |
| accuracy | 19.717966789376266 | #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))) | |
| accuracy | 21.325896669812135 | #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) | |
| accuracy | 0 | (fma.f64 re im im) | |
| accuracy | 19.717966789376266 | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) | |
| accuracy | 26.69906660213009 | #s(approx (* im (exp re)) (fma.f64 re im im)) | |
| accuracy | 0.1640625 | (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.203125 | (*.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))) | |
| accuracy | 18.850454668946252 | #s(approx (exp re) (fma.f64 re (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 | 30.564934577475597 | #s(approx (sin im) (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)) |
| 95.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 242 to 44 computations (81.8% saved)
ival-mult: 27.0ms (39.8% of total)const: 17.0ms (25.1% of total)ival-add: 14.0ms (20.7% of total)ival-sin: 6.0ms (8.9% of total)ival-exp: 2.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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)) #s(approx (* im (exp re)) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) #<representation binary64>) () ()) |
#s(alt #s(approx (* im (exp re)) (fma.f64 re im im)) (patch #s(approx (* im (exp re)) (fma.f64 re im im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) (patch #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) (patch (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) #<representation binary64>) () ()) |
#s(alt (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) (patch (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) #<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 #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 (*.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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 #s(approx (sin im) (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)) (patch #s(approx (sin im) (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)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<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 #s(literal 1/2 binary64) im) (patch (*.f64 #s(literal 1/2 binary64) 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>) () ()) |
#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 #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<representation binary64>) () ())) ()) |
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#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))) #s(approx (sin im) (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))) (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))) #s(approx (sin im) (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))) #<representation binary64>) () ())) ()) |
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#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 im (taylor 0 im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 3)) (taylor inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) (taylor inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow im 3)) (taylor -inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) (patch #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) #<representation binary64>) () ())) ()) |
#s(alt im (taylor 0 im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) (patch #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) #<representation binary64>) () ())) ()) |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | inf | (* im (+ (* (* im im) (+ (* im (* im -1/5040)) 1/120)) -1/6)) |
| 1.0ms | im | @ | 0 | (+ (* re (+ (* re (* 1/2 im)) im)) im) |
| 0.0ms | im | @ | inf | (+ (* re (+ (* re (* 1/2 im)) im)) im) |
| 0.0ms | im | @ | -inf | (+ (* re (+ (* re (* 1/2 im)) im)) im) |
| 0.0ms | im | @ | inf | (+ (* re im) im) |
| 1× | egg-herbie |
| 12 626× | lower-fma.f64 |
| 12 626× | lower-fma.f32 |
| 3 652× | lower-*.f64 |
| 3 652× | lower-*.f32 |
| 3 320× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2863 |
| 1 | 624 | 2746 |
| 2 | 1752 | 2707 |
| 3 | 4498 | 2690 |
| 0 | 8129 | 2427 |
| 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)) |
im |
(+ im (* im re)) |
(+ im (* im re)) |
(+ im (* im re)) |
(* im re) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* re (+ im (/ im re))) |
(* im re) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* im (+ 1 re)) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(* -1 (* im (- (* -1 re) 1))) |
(sin im) |
(+ (sin im) (* re (sin im))) |
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) |
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) |
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* (exp re) (sin im)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
(* im (exp re)) |
im |
(+ im (* im re)) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(+ im (* re (+ im (* 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 (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) |
im |
(+ im (* 1/2 (* im re))) |
(+ im (* 1/2 (* im re))) |
(+ im (* 1/2 (* im re))) |
(* 1/2 (* im re)) |
(* re (+ (* 1/2 im) (/ im re))) |
(* re (+ (* 1/2 im) (/ im re))) |
(* re (+ (* 1/2 im) (/ im re))) |
(* 1/2 (* im re)) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im)))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* im (+ 1 (* 1/2 re))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -1/2 re) 1))) |
(* -1 (* im (- (* -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)) |
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))) |
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 (* 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))) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) |
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(sin im) |
(* -1/6 im) |
(* im (- (* 1/120 (pow im 2)) 1/6)) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(* -1/5040 (pow im 5)) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(* -1/5040 (pow im 5)) |
(* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
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 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* 1/2 im) |
(* -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)) |
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))))) |
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))))) |
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))))))) |
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #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 (*.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 (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (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))) (exp.f64 re))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
1 |
#s(literal 1 binary64) |
(+ 1 re) |
(+.f64 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 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) |
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 3)) |
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) |
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) |
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* re (+ 1/2 (* 1/6 re)))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow re 2)) |
(*.f64 re (*.f64 re #s(literal 1/6 binary64))) |
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))) |
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(sin im) |
(sin.f64 im) |
(+ (sin im) (* re (sin im))) |
(*.f64 (sin.f64 im) (+.f64 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))))))) |
(fma.f64 re (*.f64 (sin.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) |
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 #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 (*.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 (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (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))) (exp.f64 re))) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* (exp re) (sin im)) |
(*.f64 (sin.f64 im) (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* re (+ im (* 1/2 (* im re))))) |
(fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im) |
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) |
(fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
(* im (exp re)) |
(*.f64 im (exp.f64 re)) |
im |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* im re)) |
(fma.f64 im re im) |
(+ im (* im re)) |
(fma.f64 im re im) |
(* im re) |
(*.f64 im re) |
(* re (+ im (/ im re))) |
(fma.f64 im re im) |
(* re (+ im (/ im re))) |
(fma.f64 im re im) |
(* re (+ im (/ im re))) |
(fma.f64 im re im) |
(* im re) |
(*.f64 im re) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(fma.f64 im re im) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(fma.f64 im re im) |
(* -1 (* re (+ (* -1 im) (* -1 (/ im re))))) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
(fma.f64 im re im) |
(* im (+ 1 re)) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 re re)) |
(* (pow re 2) (+ 1/2 (/ 1 re))) |
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) |
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 re)) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 re) |
(*.f64 re #s(literal 1/2 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* re (+ 1/2 (/ 1 re))) |
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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)))) |
(*.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)))) |
(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) |
(* -1/6 im) |
(*.f64 im #s(literal -1/6 binary64)) |
(* im (- (* 1/120 (pow im 2)) 1/6)) |
(*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(*.f64 im (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(* im (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)) |
(*.f64 im (fma.f64 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 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 5 binary64))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* (pow im 5) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* -1/5040 (pow im 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 5 binary64))) |
(* -1 (* (pow im 5) (- 1/5040 (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(* -1 (* (pow im 5) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2)))))) |
(*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) (*.f64 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 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* 1/2 im) |
(*.f64 im #s(literal 1/2 binary64)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(* -1/6 (pow im 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
im |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* im (+ 1 (* -1/6 (pow im 2)))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1/6 (pow im 3)) |
(*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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)))) |
(*.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)))) |
(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) |
| 6 592× | lower-fma.f32 |
| 6 568× | lower-fma.f64 |
| 4 050× | lower-*.f32 |
| 4 032× | lower-*.f64 |
| 3 226× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 320 |
| 0 | 82 | 320 |
| 1 | 308 | 306 |
| 2 | 2257 | 306 |
| 0 | 8315 | 298 |
| 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))) #s(approx (sin im) (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))) |
#s(approx (exp re) (fma.f64 re (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)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* im (exp re)) (fma.f64 re im im)) |
(fma.f64 re im im) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im))) |
#s(approx (* im (exp re)) (fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im)) |
(fma.f64 re (fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) im) |
(fma.f64 re (*.f64 #s(literal 1/2 binary64) im) im) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (exp re) (+.f64 re #s(literal 1 binary64))) |
(+.f64 re #s(literal 1 binary64)) |
#s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im)) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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)) |
#s(approx (sin im) (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)) |
(*.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))) |
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) im) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im) |
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))) |
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im))) |
(*.f64 #s(approx (sin im) (fma.f64 (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 im (*.f64 im im)) im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp re) (fma.f64 re (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 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) |
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #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 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) |
(-.f64 (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))) |
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)) |
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 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))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.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))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) im) |
(*.f64 im #s(literal 1/2 binary64)) |
(*.f64 im (*.f64 im #s(literal -1/6 binary64))) |
(*.f64 (*.f64 im im) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 im im)) |
(*.f64 (*.f64 im #s(literal -1/6 binary64)) im) |
(+.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))) |
(-.f64 (/.f64 (*.f64 im im) (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))) |
(fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) |
(fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 im (*.f64 im im)) im) |
(fma.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im im) |
(fma.f64 (*.f64 im (*.f64 im im)) #s(literal -1/6 binary64) im) |
(fma.f64 (*.f64 im #s(literal -1/6 binary64)) (*.f64 im im) im) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))))) |
(/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) |
(/.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (fma.f64 im im (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) |
(/.f64 (neg.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) (neg.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) |
(/.f64 (neg.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) (neg.f64 (fma.f64 im im (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im)))) (neg.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im)))))) |
(/.f64 (-.f64 (*.f64 im im) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (*.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (*.f64 im im))) (*.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))))) (neg.f64 (neg.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))))) (neg.f64 (neg.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 im im) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (neg.f64 (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (fma.f64 (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))) (/.f64 (*.f64 im im) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))))))) |
(pow.f64 (/.f64 (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 im (*.f64 im im) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))) (neg.f64 (*.f64 im im))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))) |
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im) |
#s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))) |
#s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 (*.f64 im im) #s(literal -1/6 binary64))))) |
Compiled 20 984 to 1 451 computations (93.1% saved)
42 alts after pruning (33 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 803 | 15 | 818 |
| Fresh | 5 | 18 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 8 | 8 |
| Total | 812 | 42 | 854 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (exp.f64 re) (sin.f64 im)) |
| ✓ | 70.2% | (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| ✓ | 70.2% | (*.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)) |
| 45.0% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) | |
| 12.9% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) | |
| ✓ | 66.7% | (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
| 31.8% | (*.f64 #s(approx (exp re) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) | |
| ✓ | 50.3% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
| 15.5% | (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) | |
| 19.6% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) | |
| 13.4% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) | |
| 13.4% | (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) | |
| 69.1% | #s(approx (* (exp re) (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))) | |
| ✓ | 68.8% | #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))))) | |
| 32.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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))))) | |
| 44.1% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) | |
| 32.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| 42.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) | |
| 32.6% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) | |
| 32.3% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) | |
| 18.0% | #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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) | |
| 17.9% | #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)))))))) | |
| 17.9% | #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 re #s(literal 1/6 binary64)))))))) | |
| ✓ | 28.2% | #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| ✓ | 49.5% | #s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| 41.6% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) | |
| 37.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im))) | |
| 40.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) | |
| ✓ | 32.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
| 12.5% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) | |
| 22.7% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) | |
| 32.3% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im))) | |
| 16.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) | |
| 13.2% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) | |
| 8.0% | #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) | |
| 32.8% | #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))) | |
| 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) | |
| 33.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im))) | |
| 32.9% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) | |
| 14.0% | #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
Compiled 1 695 to 557 computations (67.1% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.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)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
(*.f64 (exp.f64 re) (sin.f64 im)) |
#s(approx (* (exp re) (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))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
5 calls:
| 18.0ms | re |
| 18.0ms | (sin.f64 im) |
| 16.0ms | im |
| 15.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 13.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 100.0% | 1 | (exp.f64 re) |
| 100.0% | 1 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.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)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))) (sin.f64 im)) |
| Outputs |
|---|
#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)) |
(*.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)) |
5 calls:
| 20.0ms | im |
| 15.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 15.0ms | (sin.f64 im) |
| 15.0ms | re |
| 14.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 4 | re |
| 85.3% | 2 | im |
| 99.3% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 91.6% | 2 | (exp.f64 re) |
| 85.3% | 3 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.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)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.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) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
(*.f64 #s(approx (exp re) (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))) |
2 calls:
| 16.0ms | re |
| 13.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 96.6% | 4 | re |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 im)) |
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.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)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) |
(*.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:
| 15.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) (/.f64 (fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) |
(*.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:
| 26.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) |
1 calls:
| 44.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (sin.f64 im)) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
5 calls:
| 57.0ms | im |
| 38.0ms | re |
| 13.0ms | (sin.f64 im) |
| 12.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 10.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 3 | (sin.f64 im) |
| 59.7% | 2 | im |
| 72.2% | 3 | (exp.f64 re) |
| 72.2% | 3 | re |
| 79.5% | 5 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) im (*.f64 im #s(literal -1/6 binary64))) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) 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) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal -1/12 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)))) (*.f64 (+.f64 re #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) (/.f64 (fma.f64 im (-.f64 im (*.f64 re im)) (*.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 im (*.f64 im im) (*.f64 (*.f64 re im) (*.f64 (*.f64 im im) (*.f64 re re)))))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
5 calls:
| 57.0ms | re |
| 47.0ms | im |
| 13.0ms | (sin.f64 im) |
| 11.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 10.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 2 | (sin.f64 im) |
| 49.3% | 3 | im |
| 51.1% | 2 | (exp.f64 re) |
| 51.1% | 2 | re |
| 59.2% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))) |
1 calls:
| 40.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 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 (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #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)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.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))) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re im) im) (*.f64 (fma.f64 re im im) (-.f64 (*.f64 re im) im)))))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))))) |
1 calls:
| 66.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 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 (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))) |
| Outputs |
|---|
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 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 (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
#s(approx (* (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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im))) |
1 calls:
| 6.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (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 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
2 calls:
| 54.0ms | (sin.f64 im) |
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 2 | (sin.f64 im) |
| 54.5% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
#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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))) |
1 calls:
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 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)))))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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 (*.f64 re #s(literal 1/6 binary64)))))))) |
1 calls:
| 5.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) 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)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) 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 (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im))) |
1 calls:
| 46.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))) |
3 calls:
| 4.0ms | re |
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 3.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 3 | re |
| 46.6% | 3 | (exp.f64 re) |
| 52.3% | 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 (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
#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 (*.f64 im #s(literal -1/6 binary64)) im) im))) |
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))) |
1 calls:
| 4.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 3 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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 (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
5 calls:
| 44.0ms | (exp.f64 re) |
| 3.0ms | (sin.f64 im) |
| 3.0ms | im |
| 3.0ms | re |
| 3.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 2 | (exp.f64 re) |
| 38.3% | 2 | re |
| 38.3% | 2 | (sin.f64 im) |
| 36.0% | 3 | im |
| 43.9% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #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)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
5 calls:
| 3.0ms | (sin.f64 im) |
| 3.0ms | im |
| 3.0ms | re |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.3% | 1 | im |
| 32.3% | 1 | re |
| 32.3% | 1 | (exp.f64 re) |
| 32.3% | 1 | (sin.f64 im) |
| 32.3% | 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 (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re im im))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (+.f64 (*.f64 re im) im))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
5 calls:
| 3.0ms | (sin.f64 im) |
| 2.0ms | im |
| 2.0ms | re |
| 2.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.3% | 1 | re |
| 32.3% | 1 | (exp.f64 re) |
| 32.3% | 1 | im |
| 32.3% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 32.3% | 1 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
5 calls:
| 2.0ms | (sin.f64 im) |
| 2.0ms | re |
| 2.0ms | im |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 1.0ms | (exp.f64 re) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.3% | 2 | re |
| 32.3% | 2 | (exp.f64 re) |
| 32.4% | 2 | im |
| 32.4% | 2 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 32.0% | 2 | (sin.f64 im) |
Compiled 21 to 15 computations (28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
| Outputs |
|---|
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
5 calls:
| 47.0ms | (exp.f64 re) |
| 1.0ms | re |
| 1.0ms | im |
| 1.0ms | (sin.f64 im) |
| 1.0ms | (*.f64 (exp.f64 re) (sin.f64 im)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.0% | 1 | (sin.f64 im) |
| 8.0% | 1 | re |
| 8.0% | 1 | (exp.f64 re) |
| 8.0% | 1 | (*.f64 (exp.f64 re) (sin.f64 im)) |
| 8.0% | 1 | im |
Compiled 21 to 15 computations (28.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.3604895423610353e+99 | 4.168067096461845e+106 |
| 53.0ms | 1.350713148796045e-9 | 0.000705625655648504 |
| 6.0ms | -0.9112968883672384 | -0.48724858760915085 |
| 60.0ms | 352× | 0 | valid |
Compiled 686 to 434 computations (36.7% saved)
ival-exp: 43.0ms (81.7% of total)ival-sin: 7.0ms (13.3% of total)ival-mult: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998872885839478 | +inf |
| 0.0ms | 2.102196421461398e-21 | 2.1247219639722804e-21 |
| 0.0ms | -0.011542640273678207 | 0.0 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998872885839478 | +inf |
| 0.0ms | 2.102196421461398e-21 | 2.1247219639722804e-21 |
| 0.0ms | -0.011542640273678207 | 0.0 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998872885839478 | +inf |
| 0.0ms | 2.102196421461398e-21 | 2.1247219639722804e-21 |
| 0.0ms | -0.011542640273678207 | 0.0 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998872885839478 | +inf |
| 0.0ms | 2.102196421461398e-21 | 2.1247219639722804e-21 |
| 0.0ms | -0.011542640273678207 | 0.0 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9998872885839478 | +inf |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
| 0.0ms | -0.011542640273678207 | 0.0 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
| 0.0ms | -inf | -0.9957412932572537 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9560520235217548 | 0.9734824498854253 |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9560520235217548 | 0.9734824498854253 |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993961303135445 | 0.9998872885839478 |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9560520235217548 | 0.9734824498854253 |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9734824498854253 | 0.9767913457612308 |
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.280694367040104e-306 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4014106019962255400.0 | 15728590872425552000.0 |
| 6.0ms | 80× | 0 | valid |
Compiled 95 to 55 computations (42.1% saved)
ival-sin: 3.0ms (75.3% of total)ival-exp: 1.0ms (25.1% of total)ival-mult: 1.0ms (25.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1721 |
| 1 | 221 | 1721 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 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)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 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))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) #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 -5764607523034235/576460752303423488 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 5635926702128043/2658455991569831745807614120560689152 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 5635926702128043/2658455991569831745807614120560689152 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 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 5635926702128043/2658455991569831745807614120560689152 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 5635926702128043/2658455991569831745807614120560689152 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im 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 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (sin im) (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))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (+.f64 re #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64))))))) |
(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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 (*.f64 re im) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 re (fma.f64 (*.f64 im re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im) im))) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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 (*.f64 re #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8782019273372467/9007199254740992 binary64)) #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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 7000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (sin.f64 im)) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re))) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 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)) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 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))))) |
(if (<=.f64 re #s(literal -1/2 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 6456360425798343/9223372036854775808 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)))) (if (<=.f64 re #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) (*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)) 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))))))) |
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re 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) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) 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 (*.f64 re #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re) im)))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1080863910568919/1125899906842624 binary64)) #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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 im (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8782019273372467/9007199254740992 binary64)) #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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im re)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im im)))))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8782019273372467/9007199254740992 binary64)) #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 (+ (* re (+ (* re (* 1/2 im)) im)) im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re im)))))))) |
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* im (* -1/6 (* im im))) im) (*.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 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)) (*.f64 im #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) (fma.f64 im re im))) |
(if (<=.f64 im #s(literal 7000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re))))) |
(if (<=.f64 im #s(literal 7000000000000000000 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 im #s(approx (exp re) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 re im))))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 im re)))) |
#s(approx (* (exp re) (sin im)) #s(approx (* im (exp re)) #s(approx (+ (* re im) im) (*.f64 re im)))) |
| 19 824× | lower-fma.f64 |
| 19 824× | lower-fma.f32 |
| 18 716× | lower-fma.f64 |
| 18 716× | lower-fma.f32 |
| 15 566× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 297 |
| 1 | 221 | 286 |
| 2 | 586 | 274 |
| 3 | 1574 | 268 |
| 4 | 2436 | 268 |
| 5 | 3110 | 268 |
| 6 | 3581 | 268 |
| 7 | 3732 | 268 |
| 8 | 4021 | 268 |
| 9 | 5977 | 268 |
| 0 | 8264 | 246 |
| 0 | 33 | 218 |
| 0 | 57 | 220 |
| 1 | 194 | 211 |
| 2 | 1388 | 211 |
| 0 | 8214 | 207 |
| 0 | 196 | 2863 |
| 1 | 624 | 2746 |
| 2 | 1752 | 2707 |
| 3 | 4498 | 2690 |
| 0 | 8129 | 2427 |
| 0 | 131 | 2073 |
| 1 | 420 | 1986 |
| 2 | 1189 | 1936 |
| 3 | 4228 | 1906 |
| 4 | 7882 | 1906 |
| 0 | 8047 | 1723 |
| 0 | 125 | 1727 |
| 1 | 406 | 1664 |
| 2 | 1118 | 1618 |
| 3 | 3936 | 1588 |
| 4 | 7275 | 1588 |
| 0 | 8041 | 1437 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 829 to 658 computations (64% saved)
(negabs im)
Compiled 2 214 to 294 computations (86.7% saved)
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